Mathematics...Mathematical Olympiad Challenges See page 111 Control and Optimization of Multiscale...

Birkhäuser

Mathematics 2009 /2010

Birkhäuser M

athematics 2009/2010

New and noteworthy books and journals

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Highlights

Journal of Pseudo-Differential Operators and ApplicationsSee page 153

Autonomic SystemsSee page 105

Mathematical Olympiad ChallengesSee page 111

Control and Optimization of Multiscale Process Systems See page 101

The Physical TouristSee page 120

Combinatorial Number Theory and Additive Group TheorySee page 7

Metric Foliations and CurvatureSee page 20

M t i F li ti

NewSeries

Second Edition

Related Book Series: Pseudo-Differential OperatorsTheory and Applications

Vol. 1. Quantization and Arithmetic • See page 22

Vol. 2. Pseudo-Differential Operators and •

Symmetries See page 62

Vol. 3. Global Pseudo-differential Calculus on •

Euclidean Spaces: See page 61

New Journal

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Contents

Textbooks suitable for undergraduate, advanced undergraduate or graduate students

Logic and Foundations 4

Combinatorics / Number Theory 7

Algebra and Representation Theory 12

Geometry / Topology 18

Analysis / Operator Theory 30

Differential Equations / Dynamical Systems 61

Systems and Control 73

Probability and Statistics 77

Mathematical Physics / Physics 84

Numerical and Computational Mathematics / Applications 92

Of General Interest 111

History of Science 115

Deutschsprachige Titel / German Language Titles 127

Series Index

Series in Pure and Applied Mathematics 139

Series in History of Science 151

Journals 153

Authors and Editors Index 164

Contact Information 168

The catalogues cover image is a coloured version of a David head taken from Discrete Differential Geometry (see page 24) by Alexander I. Bobenko, Peter Schröder, John M. Sullivan and Günter M. Ziegler (Eds.): Chapter: Discrete Differential Forms for Computational Modeling by Mathieu Desbrun, Eva Kanso and Yiying Tong. The figure is combined with a massif.

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Institution-independent Model TheoryDiaconescu, R., Simion Stoilow Romanian Academy, Romania

SUL – Studies in Universal Logic

A model theory that is independent of any concrete logical system allows a general handling of a large variety of logics. This generality can be achieved by applying the theory of institutions that provides a precise mathematical formulation for the intuitive concept of a logical system. Especially in computer science, where the development of a huge number of specification logics is observable, institution-independent model theory simplifies and sometimes even enables a concise model-theoretic analysis of the system. Besides incorporating important methods and concepts from conventional model theory, the proposed top-down methodology allows for a structurally clean understanding of model-theoretic phenomena. As a consequence, results from conventional concrete model theory can be understood more easily, and sometimes even new results are obtained.

2008. XI, 376 p. SoftcoverEUR 69.90 / USD 99.– / CHF 125.– ISBN 978-3-7643-8707-5

Completeness Theory for Propositional LogicsPogorzelski, W.A., University of Bialystok, Poland / Wojtylak, P., Silesian University Katowice, Poland


The book develops the theory of one of the most important notions in the methodology of formal systems. Particularly, completeness plays an important role in propositional logic where many variants of the notion have been defined. Global variants of the notion mean the possibility of getting all correct and reliable schemata

Universal Algebraic Logic Dedicated to the Unity of Science Andréka, H. / Németi, I. / Sain, I. Hungarian Academy of Sciences, Budapest, Hungary


Due in Winter 2009

The three main themes of this book are (i) universal logic and the question of what logic is, (ii) universal algebraic logic and duality theories between the world of logics and the world of algebra, and (iii) algebraic logic proper including algebras of relations of various ranks, Tarski’s cylindric algebras, relation algebras, Halmos’ polyadic algebras and other kinds of algebras of logic. Besides Tarskian algebraizations of logics, category theoretical perspectives are also touched upon. Following the Tarskian tradition, besides the connections between logic and algebra, related logical connections with geometry and eventually spacetime geometry leading up to relativity are also part of the perspective of the book. An introductory chapter contains the necessary algebraic basics, this can be used in its own right as a quick introduction to universal algebra.

2010. Approx. 260 p. SoftcoverEUR 59.95 / USD 79.95 / CHF 105.– ISBN 978-3-7643-8505-7

Logic and Foundations

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of inference. Its local variants refer to the notion of truth given by some semantics. A uniform theory of completeness in its general and local meaning is carried out and it generalizes and systematizes some variety of the notion of completeness such as Post-completeness, structural completeness and many others. This approach allows also for a more profound view upon some essential properties (e.g. two-valuedness) of propositional systems. For these purposes, the theory of logical matrices, and the theory of consequence operations is exploited.

2008. VIII, 178 p. SoftcoverEUR 49.90 / USD 69.95 / CHF 85.– ISBN 978-3-7643-8517-0

Logic for Computer Scientists Schöning, U., University of Ulm, Germany

MBC – Modern Birkhäuser Classics

1st ed. 1989. 2nd printing 2008. XII, 166 p. 32 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4762-9

Logica Universalis Towards a General Theory of Logic Béziau, J.-Y. (Ed.)

“I find this book extremely useful and important, because it signifies the arrival of a new renaissance in logic, a new revival not only of logic, but of the vision of logic as a unifying tool for science as a whole, including mathematics, physics, cosmology, computer science and AI. The book and the vision behind it give logic, conceived as a scientific study of rationality, new unifying power, new perspectives, and new horizons.” — Hungarian Academy of Sciences

2007. XI, 246 p. SoftcoverEUR 49.90 / USD 79.95 / CHF 78.– ISBN 978-3-7643-8353-4

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Set Theory Centre de Recerca Matemàtica Barcelona, 2003-2004 Bagaria, J. / Todorcevic, S. (Eds)

TM – Trends in Mathematics

2006. VI, 406 p. HardcoverEUR 99.– / USD 139.– / CHF 159.– ISBN 978-3-7643-7691-8

A Beginner’s Guide to Finite Mathematics For Business, Management, and the Social Sciences Wallis, W.D.

2004. XII, 354 p. 100 illus. SoftcoverEUR 49.95 / USD 64.95 / CHF 77.50ISBN 978-0-8176-4270-9

A Beginner’s Guide to Discrete MathematicsWallis, W.D.

This introduction to discrete mathematics is aimed primarily at undergraduates in mathematics and computer science at the freshmen and sophomore levels. The text has a distinctly applied orientation and begins with a survey of number systems and elementary set theory. Additional chapters treat: data structures, counting, probability, relations and functions, graph theory, matrices, number theory and cryptography.Good examples occur throughout and there are problem sets with selected solutions at the end of each section. A college algebra course is the only prerequisite.

2003. 388 p. 43 illus. SoftcoverEUR 39.90 / USD49.95 / CHF 69.90ISBN 978-0-8176-4269-3

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Ordered Sets An Introduction Schröder, B.

2003. XVII, 391 p. 35 illus. HardcoverEUR 54.95 / USD 74.95 / CHF 85.50ISBN 978-0-8176-4128-3

Handbook of Logic and Proof Techniques for Computer ScienceKrantz, S.G.

“This is really what it promises to be – a good handbook: supple, self-contained, providing the necessary and sufficient working resources … it is more than [one] expect[s]: the rigor of usefulness and conciseness exceeds or equals … the pleasure of reading it.” — Zentralblatt Math

2002. XIX, 245 p. 16 illus. HardcoverEUR 59.95 / USD 79.95 / CHF 93.50ISBN 978-0-8176-4220-4

Foundations of Logic and Mathematics Applications to Computer Science and Cryptography Nievergelt, Y.

2001. XVI, 415 p. 22 illus. HardcoverEUR 66.95 / USD 89.95 / CHF 104.–ISBN 978-0-8176-4249-5

Set Theory: An Introduction Vaught, R.L.

2nd ed. 1995. 1st softcover printing 2001. 184 p. 8 illus. SoftcoverEUR 74.95 / USD 99.– / CHF 116.50ISBN 978-0-8176-4256-3

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Proofs and Fundamentals A First Course in Abstract Mathematics Bloch, E.D.

“… Proofs and Fundamentals has many strengths. One notable, strength, is its excellent organization. The book begins with a three-part preface, which makes its aims very clear. There are large exercise sets throughout the book … Exercises are well integrated with the text and vary appropriately from easy to hard … Topics in Part III are quite varied, mostly independent from each other, and truly dependent on Parts I and II. At the end of the book there are useful hints to selected exercises. Perhaps the book’s greatest strength is the author’s zeal and skill for helping students write mathematics better. Careful guidance is given throughout the book. Basic issues like not abusing equal signs are treated explicitly. Attention is given to even relatively small issues, like not placing a mathematical symbol directly after a punctuation mark. Throughout the book, theorems are often followed first by informative ‘scratch work’ and only then by proofs. Thus students can see many examples of what they should think, what they should write, and how these are usually not the same.” — MAA Online

2000. XXI, 424 p. HardcoverEUR 44.90 / USD 54.95 / CHF 79.90ISBN 978-0-8176-4111-5

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Combinatorics / Number Theory

Combinatorial Number Theory and Additive Group TheoryGeroldinger, A., University of Graz, Austria / Ruzsa, I.Z., Hungarian Academy of Sciences, Budapest, Hungary

Advanced Courses in Mathematics - CRM Barcelona

Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focussed on problems related to the addition of integers. Some classical problems like the Waring problem on the sum of k-th powers or the Goldbach conjecture are genuine examples of the original questions addressed in the area. One of the features of contemporary additive combinatorics is the interplay of a great variety of mathematical techniques, including combinatorics, harmonic analysis, convex geometry, graph theory, probability theory, algebraic geometry or ergodic theory. This book gathers the contributions of many of the leading researchers in the area and is divided into three parts. The two first parts correspond to the material of the main courses delivered, Additive combinatorics and non-unique factorizations, by Alfred Geroldinger, and Sumsets and structure, by Imre Z. Ruzsa. The third part collects the notes of most of the seminars which accompanied the main courses, and which cover a reasonably large part of the methods, techniques and problems of contemporary additive combinatorics.

2009. XI, 330 p. SoftcoverEUR 39.90 / USD 54.95 / CHF 69.90ISBN 978-3-7643-8961-1

Quantitative Arithmetic of Projective VarietiesBrowning, T.D., Bristol University, UK

Winner of the Ferran Sunyer i Balaguer Prize 2009

PM – Progress in Mathematics, Vol. 277

Due in September 2009

This book is concerned with counting rational points of bounded height on projective algebraic varieties. This is a fertile and vibrant topic that lies at the interface of analytic number theory and Diophantine geometry. The goal of the book is to give a systematic account of the field with an emphasis on the role that analytic number theory has to play in its development.

2010. Approx. 170 p. HardcoverEUR 44.95 / USD 99.– / CHF 69.90ISBN 978-3-0346-0128-3

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Number Theory Structures, Examples, and Problems Andreescu, T., The University of Texas at Dallas, Richardson, TX, USA / Andrica, D., "Babes-Bolyai" University, Cluj-Napoca, Romania

Key features of Number Theory: Structures, Examples, and Problems:

A rigorous exposition starts with the * natural numbers and the basics.Important concepts are presented with * an example, which may also emphasize an application. The exposition moves systematically and intuitively to uncover deeper properties.Topics include divisibility, unique * factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, quadratic residues, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems are covered.Unique exercises reinforce and motivate * the reader, with selected solutions to some of the problems.Glossary, bibliography, and comprehensive * index round out the text.

This text is a clear, accessible introduction to the subject and a source of fascinating problems and puzzles, from advanced high school students to undergraduates, their instructors, and general readers at all levels.

2009. XVIII, 384 p. 2 illus. HardcoverEUR 49.90 / USD 59.95 / CHF 89.90 ISBN 978-0-8176-3245-8

Topics from the Theory of Numbers Grosswald, E., Technion, Haifa, Israel


2nd ed. 1984. Reprint. 2009. XVIII, 333 p. 8 illus. SoftcoverEUR 39.90 / USD 49.95 / CHF 69.90ISBN 978-0-8176-4837-4

Classic Papers in Combinatorics Gessel, I., Brandeis University, Waltham, MA, USA / Rota, G.-C. (Eds)


Reprint of the 1987 ed. 2009. X, 489 p. 10 illus. SoftcoverEUR 34.90 / USD 49.95 / CHF 59.90 ISBN 978-0-8176-4841-1

Eisenstein Series and ApplicationsGan, W.T., UCSD, La Jolla, CA, USA / Kudla, S.S., University of Toronto, ON, CANADA / Tschinkel, Y., Courant Institute of Mathematical Sciences/NYU, New York, NY, USA (Eds)


Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas that are not usually interacting with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The central theme of the exposition focuses on the common structural properties of Eisenstein series occurring in many related applications that have arisen in several recent developments in arithmetic: Arakelov intersection theory on Shimura varieties, special values of L-functions and Iwasawa theory, and

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equidistribution of rational/integer points on homogeneous varieties. Key questions that are considered include: Is it possible to identify a class of Eisenstein series whose Fourier coefficients (resp. special values) encode significant arithmetic information? Do such series fit into p-adic families? Are the Eisenstein series that arise in counting problems of this type?

2008. X, 314 p. HardcoverEUR 54.90 / USD 69.95 / CHF 95.–ISBN 978-0-8176-4496-3

Walks on Ordinals and Their CharacteristicsTodorcevic, S.


2007. VI, 324 p. HardcoverEUR 59.90 / USD 89.95 / CHF 105.– ISBN 978-3-7643-8528-6

A Beginner’s Guide to Graph Theory Wallis, W.D.

Review of First Edition: “Altogether the book gives a comprehensive introduction to graphs, their theory and their application…The use of the text is optimized when the exercises are solved. The obtained skills improve understanding of graph theory as well … It is very useful that the solutions of these exercises are collected in an appendix.” — Simulation News Europe

2nd ed. 2007. XX, 260 p. 160 illus. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50ISBN 978-0-8176-4484-0

104 Number Theory Problems From the Training of the USA IMO Team Andreescu, T. / Andrica, D. / Feng, Z.

“In short, this book is a very valuable tool for any student/coach interested in preparing for mathematics competitions, especially

the International Mathematical Olympiad. College students participating in the Putnam competition might also find quite a few interesting problems. Moreover, any course in number theory could be supplemented with this book and could use some of the references included. Even research mathematicians working in number theory will find this book of value in their pursuits.” — MAA Online

2007. XII, 204 p. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50ISBN 978-0-8176-4527-4

Number Theory An approach through history from Hammurapi to Legendre Weil, A.


1st ed. 1987., 4th printing 2007. XXII, 376 p. 18 illus. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50ISBN 978-0-8176-4565-6

Number Theory An Introduction via the Distribution of Primes Fine, B. / Rosenberger, G.

“This book attempts the rather ambitious task of covering much of elementary, analytic and algebraic number theory in a bit over 300 pages.” — MathSciNet

2007. XIII, 342 p. 12 illus. SoftcoverEUR 49.90 / USD 79.95 / CHF 89.90ISBN 978-0-8176-4472-7

Topics in the Theory of

Algebraic Function FieldsVilla Salvador, G.D.

MTA – Mathematics: Theory & Applications

“Gabriel Daniel Villa Salvador’s book Topics in the Theory of Algebraic Function Fields was recently translated into English and

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published by Birkhäuser (the original version was published in Mexico in 2003). In the book, Salvador covers a large amount of material at a wide range of levels of difficulty, and as such his book could be used in a wide variety of settings. … The entire book is very well written and Villa Salvador includes many examples to both illustrate and motive the theory being presented. There are also a handful of exercises in each chapter. … The study of function fields is a beautiful area of mathematics which seems to be ever-increasing in importance, and this book is a wonderfully well-written introduction to the area.” — MAA Reviews

2006. XVI, 652 p. 20 illus. HardcoverEUR 78.– / USD 99.– / CHF 114.– ISBN 978-0-8176-4480-2

Complex Numbers from A to ... ZAndreescu, T. / Andrica, D.

“It is for the readers who seek to harness new techniques and to polish their mastery of the old ones. It is for somebody who made it their business to be solving problems on a regular basis. These readers will appreciate the scope of the methodological detail the authors of the book bring to their attention, they will appreciate the power of the methods and the intricacy of the problems.” — MAA Reviews

2005. XI, 321 p. SoftcoverEUR 39.90 / USD 49.95 / CHF 69.90ISBN 978-0-8176-4326-3

Combinatorics and Commutative Algebra Stanley, R.P.


2nd ed. 1996. X, 180 p. SoftcoverEUR 66.95 / USD 89.95 / CHF 104.– ISBN 978-0-8176-4369-0

A Path to Combinatorics for Undergraduates Counting Strategies Andreescu, T. / Feng, Z.

“… the book provides quite an amazing collection of combinatorial problems, many of them original, and many of them from a hard to find sources like Russian olympiads. ... The presentation of the solutions is very clear and instructive, with emphasis on common mistakes.” — Mathematics Bohemica

2004. XVIII, 228 p. 40 illus. SoftcoverEUR 39.95 / USD 54.95 / CHF 62.– ISBN 978-0-8176-4288-4

An Introduction to the Langlands ProgramBernstein, J. / Gelbart, S. (Eds)

“The six chapters of this monograph give a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. First-year graduate students and researchers will benefit from this beautiful text.” — Zentralblatt Math

2003. VIII, 281 p. 5 illus. SoftcoverEUR 39.90 / USD 49.95 / CHF 69.90ISBN 978-0-8176-3211-3

102 Combinatorial Problems From the Training of the USA IMO Team Andreescu, T. / Feng, Z.

“Andreescu’s 51 ‘introductory problems’ and 51 ‘advanced problems’, all novel, would nicely supplement any university course in combinatorics or discrete mathematics. This volume contains detailed solutions, some-times multiple solutions, for all the problems, and some solutions offer additional twists for further thought …“ — Choice

2003. XII, 116 p. 40 illus. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50ISBN 978-0-8176-4317-1

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General Lattice Theory Grätzer, G.

“… Grätzer’s ‘General Lattice Theory’ has become the lattice theorist’s bible. Now … we have the second edition, in which the old testament is augmented by a new testament … The new testament gospel is provided by leading and acknowledged experts in their fields … Each [of these eight contributions] is itself a gold mine. This is an excellent and engaging second edition that will long remain a standard reference.” — Mathematical Reviews

2003. XIX, 663 p. SoftcoverEUR 74.90 / USD 92.– / CHF 129.– ISBN 978-3-7643-6996-5

Magic GraphsWallis, W.D.

“The book should be accessible to advanced undergraduates or beginning graduate students. It might serve as inspiration for an REU program or as a source for senior undergraduate research projects, particularly if supervised by a mathematician who is truly ‘up’ on what is going on in this field.” — MAA Reviews

2001. XIV, 146 p. 21 illus. SoftcoverEUR 54.95 / USD 74.95 / CHF 85.50ISBN 978-0-8176-4252-5

Tree LatticesBass, H. / Lubotzky, A.


“The book is a helpful resource to researchers in the field and students of geometric methods in group theory.” — Educational Book Review

2001. XIII, 233 p. 80 illus. HardcoverEUR 69.90 / USD 89.95 / CHF 119.–ISBN 978-0-8176-4120-7

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Algebra and Representation Theory

Ring and Module TheoryAlbu, T., Romanian Academy of Sciences, Bukarest, Romania / Birkenmeier, G.F., University of Louisiana, Lafayette, USA / Erdogan, A., Hacettepe University, Ankara, Turkey / Tercan, A., Hacettepe University, Ankara, Turkey (Eds)


Due in Winter 2009

The volume consists of a collection of invited research papers and expository/survey articles, many of which were presented at the International Conference on Ring and Module Theory held at Hacettepe University in Ankara, Turkey, in August 2008. The selected papers and articles examine wide ranging and cutting edge developments in various areas of algebra, including ring theory, module theory, and commutative algebra. There is also a section devoted to open problems to motivate further research.

2010. Approx. 400 p. HardcoverApprox. EUR 99.– / USD 149.– / CHF 159.–ISBN 978-3-0346-0006-4

Combinatorial and Geometric Group Theory Dortmund and Carleton Conferences Bogopolski, O., University of Dortmund, Germany / Bumagin, I., Carleton University, Ottawa, Canada / Kharlampovich, O., McGill University, Montreal, QC, Canada / Ventura, E., Universitat Politecnica de Catalunya, Barcelona, Spain (Eds)


Due in Winter 2009

This volume assembles several research papers in all areas of geometric and combinatorial group theory originated in the recent conferences in Dortmund and Ottawa in 2007. It contains high quality refereed articles developing new aspects of these modern and active fields in mathematics. It is also appropriate to advanced students interested in recent results at a research level.

2009. Approx. 350 p. HardcoverEUR 99.– / USD 139.– / CHF 175.– ISBN 978-3-7643-9910-8

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Frobenius Categories Versus Brauer Blocks The Grothendieck Group of the Frobenius Category of a Brauer Block Puig, L., Université Paris VII Denis Diderot, Paris, France


This book contributes to important questions in modern representation theory of finite groups. On the one hand, it introduces and develops the abstract setting of the Frobenius categories (also called the Saturated fusion systems in the literature), created by the author fifteen years ago for a better understanding of what was loosely called the local theory either of finite groups or of blocks, and for the purpose of an eventual classification.On the other hand, it gives the application of the abstract setting to the blocks. In particular, it develops a framework for a deeper understanding of one of the central open problems in representation theory, known as Alperin’s Weight Conjecture (AWC). One of the main results of the book is a reduction theorem of the author’s own form of AWC to quasi-simple groups.Although it is a research monograph rather than a textbook, all the arguments are widely developed to make it accessible to interested graduate students. A long introduction gives a motivating insight to each chapter and provides a basic guideline.

2009. 498 p. HardcoverEUR 79.90 / USD 109.– / CHF 139.– ISBN 978-3-7643-9997-9

Regularity and Substructures of HomKasch, F., University of Munich, Germany / Mader, A., University of Hawaii, Honolulu, HI, USA

FM – Frontiers in Mathematics

The book generalizes the well-known regularity of ring elements to regularity of homomorphisms in module categories, and further to regularity of morphisms in any category. Regular homomorphisms are characterized in terms of decompositions of domain and codomain, and numerous other results are presented. While the theory is well developed in module categories many questions remain about generalizations and extensions to other categories. The book only requires the knowledge of a basic course in modern algebra. It is written clearly, with great detail, and is accessible to students and researchers alike.

2009. XV, 164 p. SoftcoverEUR 39.90 / USD 59.95 / CHF 69.90 ISBN 978-3-7643-9989-4

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Beyond the Quartic Equation King, R. B., University of Georgia, Athens, GA, USA


1st ed. 1996. 2nd printing 2009. X, 149 p. 16 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4836-7

Linear Algebraic Groups Springer, T.A., Universiteit Utrecht, The Netherlands


2nd ed. 1998. 2nd printing 2009. XII, 334 p. SoftcoverEUR 39.90 / USD 49.95 / CHF 69.90 ISBN 978-0-8176-4839-8

Modules and ComodulesBrzezinski, T., University of Wales, Swansea, UK / Gómez Pardo, J.L., Universidad de Santiago, Santiago de Compostela, Spain / Shestakov, I., Universidade de Sao Paulo, Brasil / Smith, P.F., University of Glasgow, UK (Eds)


The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006 and dedicated to Robert Wisbauer on the occasion of his 65th birthday. These articles reflect Professor Wisbauer’s wide interests and give an overview of different fields related to module theory, some of which have a long tradition whereas others have emerged in recent years. They include topics in the formal theory of modules bordering on category theory, in ring theory, in Hopf algebras and quantum groups, and in corings and comodules.

2008. XII, 355 p. HardcoverEUR 99.– / USD 139.– / CHF 175.– ISBN 978-3-7643-8741-9

D-Modules, Perverse Sheaves, and Representation TheoryHotta, R. / Takeuchi, K. / Tanisaki, T.


“A self-contained introduction to D-modules, with the aim of showing how they were used to solve the Kazhdan-Lusztig conjecture. … present book can be used as a good reference on D-modules and on advanced representation theory of semisimple Lie algebras, but especially as a detailed account on the relations between them; in fact, in our opinion this is the first and very welcome complete work devoted to a mainstream research field (the ‘Algebraic Analysis’ approach to representation theory) which remains very active almost thirty years.” — Corrado Marastoni, Mathematical Reviews, Issue 2008 k

2008. XII, 412 p. 66 illus. HardcoverEUR 78.– / USD 89.95 / CHF 128.– ISBN 978-0-8176-4363-8

Group-based CryptographyMyasnikov, A. / Shpilrain, V. / Ushakov, A.,


This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It is explored how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography. It is also shown that there is a remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory, and they open many interesting research avenues within group theory. Then, complexity theory, notably generic-case complexity of algorithms, is employed for cryptanalysis of various

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cryptographic protocols based on infinite groups, and the ideas and machinery from the theory of generic-case complexity are used to study asymptotically dominant properties of some infinite groups that have been applied in public key cryptography so far. Its elementary exposition makes the book accessible to graduate as well as undergraduate students in mathematics or computer science.

2008. XV, 183 p. SoftcoverEUR 29.90 / USD 49.95 / CHF 52.90 ISBN 978-3-7643-8826-3

Discriminants, Resultants, and Multidimensional Determinants Gelfand, I.M. / Kapranov, M.M. / Zelevinsky, A.V.


Reprint of the 1994 ed. 2008. X, 523 p. 30 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4770-4

Representation Theory and Automorphic FormsKobayashi, T. / Schmid, W. / Yang, J.-H. (Eds)


2008. VIII, 216 p. 10 illus. HardcoverEUR 54.90 / USD 69.95 / CHF 95.– ISBN 978-0-8176-4505-2

Determinantal IdealsMiró-Roig, R.M.


2008. XVI, 138 p. HardcoverEUR 39.90 / USD 59.95 / CHF 69.90 ISBN 978-3-7643-8534-7

Advanced Algebra Knapp, A.W.

COR – Cornerstones

“All together, this is another outstanding textbook written by the renowned and

versatile mathematical researcher, teacher, and author Anthony W. Knapp that reflects his spirit, his devotion to mathematics, and his rich experiences in expository writing at best ... This textbook is the second volume of Anthony W. Knapp’s comprehensive introduction to the fundamental concepts and tools in modern abstract algebra. Together with its foregoing companion volume Basic Algebra, ... the current book is to provide a global view of the subject, thereby particularly emphasizing both its various applications and its ubiquitous role in contemporary mathematics ...” —Zentralblatt Math

2008. XXIV, 730 p. 10 illus. HardcoverEUR 54.90 / USD 69.95 / CHF 95.– ISBN 978-0-8176-4522-9

Basic Algebra Knapp, A.W.


2006. XXII, 717 p. 42 illus. HardcoverEUR 54.90 / USD 69.95 / CHF 95.– ISBN 978-0-8176-3248-9

Basic Algebra and Advanced Algebra SetKnapp, A.W.


2008. XLVI, 1454 p. 2-volume-set. EUR 69.90 / USD 89.95 / CHF 125.– ISBN 978-0-8176-4533-5

Quadratic Mappings and Clifford AlgebrasHelmstetter, J. / Micali, A.

After a classical presentation of quadratic mappings and Clifford algebras over arbitrary rings (commutative, associative, with unit), other topics involve more original methods: interior multiplications allow an effective treatment of deformations of Clifford algebras; the relations between automorphisms of quadratic forms and

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Clifford algebras are based on the concept of the Lipschitz monoid, from which several groups are derived; and the Cartan-Chevalley theory of hyperbolic spaces becomes much more general, precise and effective.

2008. XIII, 504 p. HardcoverEUR 89.90 / USD 129.– / CHF 139.– ISBN 978-3-7643-8605-4

Functional IdentitiesBrešar, M. / Chebotar, M.A. / Martindale III, W.S.


2007. 272 p. SoftcoverEUR 39.90 / USD 49.95 / CHF 65.– ISBN 978-3-7643-7795-3

Algebra and Analysis for Engineers and ScientistsMichel, A.N. / Herget, C.J.

“The authors present topics in algebra and analysis for students in engineering and science … Each chapter is organized to include a brief overview, detailed topical discussions and references for further study. Notes about the references guide the student to collateral reading. Theorems, definitions, and corollaries are illustrated with examples. The student is encouraged to prove some theorems and corollaries as models for proving others in exercises. In most chapters, the authors discuss constructs used to illustrate examples of applications. Discussions are tied together by frequent, well written notes. The tables and index are good. The type faces are nicely chosen. The text should prepare a student well in mathematical matters.” — Science Books and Films

2007. XIV, 486 p. 48 illus. SoftcoverEUR 39.95 / USD 54.95 / CHF 62.– ISBN 978-0-8176-4706-3

Quaternions, Clifford Algebras and Relativistic PhysicsGirard, P.R.

2007. XII, 179 p. 2 illus. SoftcoverEUR 29.90 / USD 39.95 / CHF 49.90 ISBN 978-3-7643-7790-8

The Geometry of the Word Problem for Finitely Generated GroupsBrady, N. / Riley, T. / Short, H.


2007. VII, 206 p. 68 illus. SoftcoverEUR 29.95 / USD 49.95 / CHF 49.90 ISBN 978-3-7643-7949-0

Introduction to Plane Algebraic CurvesKunz, E.


Artinian Modules over Group RingsKurdachenko, L.A. / Otal, J.-P. / Subbotin, I.Y.


2007. XII, 247 p. SoftcoverEUR 44.95 / USD 69.95 / CHF 69.90 ISBN 978-3-7643-7764-9

Lifting Modules Supplements and Projectivity in Module Theory Clark, J. / Lomp, C. / Vanaja, N. / Wisbauer, R.



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103 Trigonometry Problems From the Training of the USA IMO Team Andreescu, T. / Feng, Z.

“The title of this book already says everything about the content: 103 trigonometry problems that were given in the training and testing of the US International Mathematical Olympiad team are presented along with their solutions. … The presentation is clear, accurate and extensive. For these reasons the book is very easy to read and leads the reader to astonishing insights in an elementary field of mathematics. It is therefore also very appropriate as a textbook …” — Monatshefte für Mathematik


Polynomial Identity RingsDrensky, V. / Formanek, E.


“The book under review consists of two excellent monographs on the PI-theory by two leading researchers, V. Drensky and E. Formanek … In summary, both expositions are very well written, and the book is recommended both for graduate students and researchers.” — Mathematical Reviews

2004. VI, 200 p. SoftcoverEUR 29.90 / USD 39.95 / CHF 49.90 ISBN 978-3-7643-7126-5

Linear Algebra Kwak, J.H. / Hong, S.

“As linear algebra is one of the most important subjects in the study of science and engineering because of widespread applications ... this book covers one of the most useful courses in undergraduate mathematics, providing essential tooks for

industrial scientists. … The primary purpose of the book is to give a careful presentation of the basic concepts of linear algebra as a coherent part of mathematics, and to illustrate its power and utility through applications of other disciplines.” — Educational Book Review

2nd ed. 2004. XIV, 390 p. 40 illus. SoftcoverEUR 49.95 / USD 69.95 / CHF 77.50 ISBN 978-0-8176-4294-5

Subgroup GrowthLubotzky, A. / Segal, D.


2003. XXII, 454 p. HardcoverEUR 99.– / USD 149.– / CHF 169.– ISBN 978-3-7643-6989-7

Linear Algebra A Pure Mathematical Approach Rose, H.E.

“Rose’s Linear Algebra is a highly sophisticated undergraduate work … This book would be excellent for mathematics majors or for non-majors with access to a second course in which applications were presented. Summing Up: Recommended for lower- and upper-division undergraduates.” — Choice

2002. XIV, 250 p. SoftcoverEUR 24.95 / USD 39.95 / CHF 39.90 ISBN 978-3-7643-6792-3

Algebra Gelfand, I.M. / Shen, A.

1st ed. 1993. 4th printing 1993. X, 150 p. 27 illus. SoftcoverEUR 24.95 / USD 32.95 / CHF 39.– ISBN 978-0-8176-3677-7

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Geometry / Topology

Conformal Differential GeometryBaum, H. / Juhl, A. Humboldt-Universität Berlin, Germany

OWS – Oberwolfach Seminars

Due in Winter 2009

Conformal invariants (conformally invariant tensors, conformally covariant differential operators, conformal holonomy groups etc.) are of central significance in differential geometry and physics. Well-known examples of such operators are the Yamabe-, the Paneitz-, the Dirac- and the twistor operator. The aim of the seminar was to present the basic ideas and some of the recent developments around Q-curvature and conformal holonomy. The part on Q-curvature discusses its origin, its relevance in geometry, spectral theory and physics. Here the influence of ideas which have their origin in the AdS/CFT-correspondence becomes visible.

The part on conformal holonomy describes recent classification results, its relation to Einstein metrics and to conformal Killing spinors, and related special geometries.

2010. Approx. 100 p. SoftcoverEUR 19.95 /USD 29.95 / CHF 34.90ISBN 978-3-7643-9908-5

Fourier–Mukai and Nahm Transforms in Geometry and Mathematical PhysicsBartocci, C., Università degli Studi di Genova, Italy / Bruzzo, U., SISSA, Trieste, Italy / Hernández Ruipérez, D., Universidad de Salamanca, Spain


Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character. Fourier–Mukai and Nahm Transforms in Geometry and Mathematical Physics examines the algebro-geometric approach (Fourier–Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a considerable amount of material from existing literature which has not been systematically organized into a monograph. Key features:

Basic constructions and definitions are * presented in preliminary background chaptersPresentation explores applications and * suggests several open questionsExtensive bibliography and index*

2009. XVI, 418 p. 83 illus. HardcoverEUR 89.95 / USD 119.– / CHF 149.50 ISBN 978-0-8176-3246-5

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Geometry / Topology

Families of Conformally Covariant Differential Operators, Q-Curvature and HolographyJuhl, A., Humboldt-Universität Berlin, Germany


The central object of the book is Q-curvature. This important and subtle scalar Riemannian curvature quantity was introduced by Tom Branson about 15 year ago in connection with variational formulas for determinants of conformally covariant differential operators. The book studies structural properties of Q-curvature from an extrinsic point of view by regarding it as a derived quantity of certain conformally covariant families of differential operators which are associated to hypersurfaces. The new approach is at the cutting edge of central developments in conformal differential geometry in the last two decades (Fefferman-Graham ambient metrics, spectral theory on Poincaré-Einstein spaces, tractor calculus, Verma modules and Cartan geometry). The theory of conformally covariant families is inspired by the idea of holography in the AdS/CFT-duality. Among other things, it naturally leads to a holographic description of Q-curvature. The methods admit generalizations in various directions.

2009. Approx. 505 p. HardcoverEUR 89.95 / USD 119.– / CHF 159.– ISBN 978-3-7643-9899-6

See also page 28

Tropical Algebraic Geometry Itenberg, I., Université Louis Pasteur, Strasbourg, France / Mikhalkin, G., University of Toronto, ON, Canada / Shustin, E., Tel Aviv University, Israel

OWS – Oberwolfach Seminars, Vol. 35

Tropical geometry is algebraic geometry over the semifield of tropical numbers, i.e., the real numbers and negative infinity enhanced with the (max,+)-arithmetics. Geometrically, tropical varieties are much simpler than their classical counterparts. Yet they carry information about complex and real varieties.

These notes present an introduction to tropical geometry and contain some applications of this rapidly developing and attractive subject. It consists of three chapters which complete each other and give a possibility for non-specialists to make the first steps in the subject which is not yet well represented in the literature. The intended audience is graduate, post-graduate, and Ph.D. students as well as established researchers in mathematics.

2nd ed. 2009. VIII, 104 p. 30 illus. SoftcoverEUR 19.90 / USD 29.95 / CHF 34.90 ISBN 978-3-0346-0047-7

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Metric Foliations and CurvatureGromoll, D., State University of New York, Stony Brook, NY, USA / Walschap, G., University of Oklahoma, Norman, OK, USA


In the past three or four decades, there has been increasing realization that metric foliations play a key role in understanding the structure of Riemannian manifolds, particularly those with positive or nonnegative sectional curvature. In fact, all known such spaces are constructed from only a representative handful by means of metric fibrations or deformations thereof.

This text is an attempt to document some of these constructions, many of which have only appeared in journal form. The emphasis here is less on the fibration itself and more on how to use it to either construct or understand a metric with curvature of fixed sign on a given space.

2009. VIII, 174 p. HardcoverEUR 39.90 / USD 59.95 / CHF 69.90 ISBN 978-3-7643-8714-3

Flag-transitive Steiner DesignsHuber, M., Technical University Berlin, Germany


The monograph provides the first full discussion of flag-transitive Steiner designs. This is a central part of the study of highly symmetric combinatorial configurations at the interface of several mathematical disciplines, like finite or incidence geometry, group theory, combinatorics, coding theory, and cryptography. In a sufficiently self-contained and unified manner the classification of all flag-transitive Steiner designs is presented. This recent result settles interesting and challenging questions that have been object of research for more than 40 years. Its proof combines methods from finite group theory, incidence geometry, combinatorics, and number theory.

The book contains a broad introduction to the topic, along with many illustrative examples. Moreover, a census of some of the most general results on highly symmetric Steiner designs is given in a survey chapter.

The monograph is addressed to graduate students in mathematics and computer science as well as established researchers in design theory, finite or incidence geometry, coding theory, cryptography, algebraic combinatorics, and more generally, discrete mathematics.

2009. IX, 124 p. SoftcoverEUR 24.90 / USD 39.95 / CHF 42.90 ISBN 978-3-0346-0001-9

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Stable Homotopy Around the Arf-Kervaire InvariantSnaith, V.P., University of Sheffield, UK


This monograph describes important techniques of stable homotopy theory, both classical and brand new, applying them to the long-standing unsolved problem of the existence of framed manifolds with odd Arf-Kervaire invariant. Opening with an account of the necessary algebraic topology background, it proceeds in a quasi-historical manner to draw from the author’s contributions over several decades. A new technique entitled “upper triangular technology” is introduced which enables the author to relate Adams operations to Steenrod operations and thereby to recover most of the important classical Arf-Kervaire invariant results quite simply. The final chapter briefly relates the book to the contemporary motivic stable homotopy theory of Morel-Voevodsky.

2009. XIV, 239 p. HardcoverEUR 59.90 / USD 89.95 / CHF 105.– ISBN 978-3-7643-9903-0

Riemannian Topology and Geometric Structures on ManifoldsGalicki, K., University of New Mexico, NM, USA / Simanca, S.R., University of New Mexico, NM, USA (Eds)


Riemannian Topology and Geometric Structures on Manifolds results from a similarly entitled conference held at the University of New Mexico in Albuquerque. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kähler and Sasaki geometry, and their interrelation to mathematical physics, notably M and superstring theory. Focusing on these fundamental ideas, this collection presents articles with original results, and plausible problems of interest for future research.

Contributors: C.P. Boyer, J. Cheeger, X. Dai, K. Galicki, P. Gauduchon, N. Hitchin, L. Katzarkov, J. Kollár, C. LeBrun, P. Rukimbira, S.R. Simanca, J. Sparks, C. van Coevering, and W. Ziller.

2009. XVI, 290 p. 50 illus. HardcoverEUR 99.– / USD 119.– / CHF 175.– ISBN 978-0-8176-4742-1

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Hyperbolic Manifolds and Discrete Groups Kapovich, M., University of California, Davis, CA, USA


1st ed. 2001. 2nd. printing 2009. XXVI, 470 p. 78 illus. SoftcoverApprox. EUR 46.20 / USD 59.95 / CHF 77.– ISBN 978-0-8176-4912-8

Viability Theory Aubin, J.-P., Université de Paris-Dauphine and CNRS, Paris, France


1st ed. 1992. 2nd printing 2009. XXVIII, 544 p. 10 illus. SoftcoverApprox. EUR 46.20 / USD 59.95 / CHF 77.– ISBN 978-0-8176-4909-8

Suites de Sturm, indice de Maslov et périodicité de BottBarge, J. / Lannes, J. Ecole Polytechnique, Paris, France


La théorie classique des suites de Sturm fournit un algorithme pour déterminer le nombre de racines d’un polynôme à coefficients réels contenues dans un intervalle donné. L’objet principal de ce mémoire est de montrer qu’une généralisation adéquate de la théorie des suites de Sturm fournit entre autres choses:une notion d’indice de Maslov pour un lacet algébrique de lagrangiens défini sur un anneau commutatif; une démonstration du théorème fondamental de la K-théorie (algébrique) hermitienne, théorème dû à M. Karoubi; une démonstration des théorèmes de périodicité de Bott (topologique), dans l’esprit des travaux de F. Latour; un calcul du groupe K2 relatif, symplectique-linéaire, pour tous les anneaux commutatifs, dans l’esprit des travaux de R. Sharpe. Le livre est dans la mesure du possible «self-contained» et élémentaire: il met essentiellement en

oeuvre des arguments d’algèbre linéaire ou bilinéaire. Il présente une approche unifiée de l’indice de Maslov en termes de suites de Sturm et de formes quadratiques.

2008. VII, 199 p. RelieEUR 59.90 / USD 89.95 / CHF 105.– ISBN 978-3-7643-8709-9

Quantization and ArithmeticUnterberger, A., Université de Reims, France

PDO – Pseudo-Differential Operators, Vol. 1

The primary aim of this book is to create situations in which the zeta function, or other L-functions, will appear in spectral-theoretic questions. A secondary aim is to connect pseudo-differential analysis, or quantization theory, to analytic number theory. Both are attained through the analysis of operators on functions on the line by means of their diagonal matrix elements against families of arithmetic coherent states: these are families of discretely supported measures on the line, transforming in specific ways under the part of the metaplectic representation or, more generally, representations from the discrete series of SL(2,R), lying above an arithmetic group such as SL(2,Z).

2008. 147 p. SoftcoverEUR 39.90 / USD 59.95 / CHF 69.90 ISBN 978-3-7643-8790-7

Vanishing and Finiteness Results in Geometric Analysis A Generalization of the Bochner Technique Pigola, S., Università dell’Insubria, Como, Italia / Rigoli, M., Università di Milano, Italia / Setti, A.G., Università dell’Insubria, Como, Italia


This book presents very recent results involving an extensive use of analytical tools in the study of geometrical and topological

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properties of complete Riemannian manifolds. It analyzes in detail an extension of the Bochner technique to the non compact setting, yielding conditions which ensure that solutions of geometrically significant differential equations either are trivial (vanishing results) or give rise to finite dimensional vector spaces (finiteness results). The book develops a range of methods from spectral theory and qualitative properties of solutions of PDEs to comparison theorems in Riemannian geometry and potential theory. All needed tools are described in detail, often with an original approach.

2008. XIV, 282 p. HardcoverEUR 49.90 / USD 69.95 / CHF 89.90 ISBN 978-3-7643-8641-2

The Mathematics of Minkowski Space-Time With an Introduction to Commutative Hypercomplex Numbers Catoni, F., Roma, Italy / Boccaletti, D., Università di Roma “La Sapienza”, Italy / Cannata, R., ENEA, C.R. Casaccia, Italy / Catoni, V., Roma, Italy / Nichelatti, E., ENEA, C.R. Casaccia, Italy / Zampetti, P., ENEA, C.R. Casaccia, Italy


Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers as a simple extension of the field of complex numbers is extensively studied in the book. In particular, an exhaustive solution of the “twin paradox” is given, followed by a detailed exposition of space-time geometry and trigonometry. Finally, an appendix on general properties of commutative hypercomplex systems with four unities is presented.

2008. XVIII, 255 p. SoftcoverEUR 39.90 / USD 59.95 / CHF 65.– ISBN 978-3-7643-8613-9

Submanifolds in Carnot GroupsVittone, D., Università degli Studi di Padova, Italy

Publications of the Scuola Normale Superiore, Theses Vol. 7

The book is devoted to the study of submanifolds in the setting of Carnot groups equipped with a sub-Riemannian structure; particular emphasis is given to the case of Heisenberg groups. A Geometric Measure Theory viewpoint is adopted, and features as intrinsic perimeters, Hausdorff measures, area formulae, calibrations and minimal surfaces are considered. Area formulae for the measure of submanifolds of arbitrary codimension are obtained in Carnot groups. Intrinsically regular hypersurfaces in the Heisenberg group are extensively studied: suitable notions of graphs are introduced, together with area formulae leading to the analysis of Plateau and Bernstein type problems.

2008. XX, 180 p. SoftcoverEUR 18.– / USD 29.95 / CHF 30.– ISBN 978-88-7642-327-7

On the First-Order Theory of Real ExponentiationServi, T., University of Regensburg, Germany


The first-order theory of real exponentiation has been studied by many mathematicians in the last fifty years, in particular by model theorists, real geometers and number theorists. The aim of this work is to present the results obtained so far in this area and to improve and refine them. In the early 1990s A. Macintyre and A.J. Wilkie proved that the theory of real exponentiation is decidable, provided that Schanuel’s conjecture holds. In the proof of their result, they proposed a candidate for a complete and recursive axiomatization of the theory. While simplifying their axiomatization,

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24

the author of this book analyses (in the first three chapters) the model theory and geometry of a broad class of functions over real closed fields. Even though the methods used are elementary, the results hold in great generality. The last chapter is devoted solely to the decidability problem for the real exponential field.

2008. XIV, 107 p. SoftcoverEUR 18.– / USD 29.95 / CHF 30.– ISBN 978-88-7642-325-3

The Non-Euclidean Revolution Trudeau, R.J., Stonehill College, Easton, MA, USA


1st ed. 2001. 2nd printing 2008. XVI, 270 p. 255 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4782-7

Linear Differential Equations and Group Theory from Riemann to Poincare Gray, J.J., The Open University, Milton Keynes, UK


2nd ed. 2000. 2nd printing 2008. XXII, 338 p. 30 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4772-8

Intersection Cohomology Borel, A., Institute for Advanced Study, Princeton, NJ, USA


1st ed. 1984. 2nd printing 2008. X, 234 p. 15 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4764-3

Differentiable Manifolds Conlon, L., Washington University, St. Louis, MO, USA


Reprint of the 2001 2nd ed. 2008. XII, 418 p. 48 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4766-7

Discrete Differential GeometryBobenko, A.I., TU Berlin, Germany / Schröder, P., California Institute of Technology, Pasadena, CA, USA / Sullivan, J.M., TU Berlin, Germany / Ziegler, G.M., TU Berlin, Germany (Eds)


Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. Current progress in this field is to a large extent stimulated by its relevance for computer graphics and mathematical physics. This collection of essays, which documents the main lectures of the 2004 Oberwolfach Seminar on the topic, as well as a number of additional contributions by key participants, gives a lively, multi-facetted introduction to this emerging field.

2008. X, 341 p. SoftcoverEUR 29.90 / USD 49.95 / CHF 49.90 ISBN 978-3-7643-8620-7

Conformal Groups in Geometry and Spin StructuresAnglès, P.

PMP – Progress in Mathematical Physics, Vol. 50

2008. XXVIII, 284 p. 40 illus. HardcoverEUR 79.90 / USD 99.– / CHF 135.– ISBN 978-0-8176-3512-1

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Algebraic Cycles, Sheaves, Shtukas, and Moduli Impanga Lecture Notes Pragacz, P. (Ed.)


2008. VIII, 236 p. HardcoverEUR 99.– / USD 139.– / CHF 169.– ISBN 978-3-7643-8536-1

Geometry and Dynamics of Groups and Spaces In Memory of Alexander Reznikov Kapranov, M.M. / Kolyada, S. / Manin, Y.I. / Moree, P. / Potyagailo, L. (Eds)


2008. XXIII, 742 p. HardcoverEUR 79.90 / USD 109.– / CHF 139.– ISBN 978-3-7643-8607-8

L’isomorphisme entre les tours de Lubin-Tate et de DrinfeldFargues, L. / Genestier, A. / Lafforgue, V.


2008. XIII, 406 p. RelieEUR 59.90 / USD 89.95 / CHF 105.– ISBN 978-3-7643-8455-5

Loop Spaces, Characteristic Classes and Geometric Quantization Brylinski, J.-L.


Reprint of the 1993 ed. 2008. XVIII, 302 p. 6 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4730-8

Algebraic K-Theory Srinivas, V.


Reprint of the 1995 2nd ed. 2008. XVI, 342 p. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4736-0

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Knot Theory and Its Applications Murasugi, K.


Reprint of the 1996 ed. 2008. XII, 342 p. 307 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4718-6

Classical Geometries in Modern Contexts Geometry of Real Inner Product Spaces Benz, W.

2nd ed. 2007. XII, 277 p. HardcoverEUR 79.90 / USD 109.– / CHF 139.– ISBN 978-3-7643-8540-8

q-Clan Geometries in Characteristic 2Cardinali, I. / Payne, S.E.


2007. XIV, 166 p. SoftcoverEUR 39.90 / USD 59.95 / CHF 69.90 ISBN 978-3-7643-8507-1

Topological and Bivariant K-TheoryCuntz, J. / Meyer, R. / Rosenberg, J.M.


2007. XI, 262 p. SoftcoverEUR 29.90 / USD 49.95 / CHF 49.90 ISBN 978-3-7643-8398-5

Diophantine Geometry Proceedings Zannier, U. (Ed.)

Publications of the Scuola Normale Superiore, Vol. 4

2007. XVIII, 390 p. SoftcoverEUR 25.– / USD 34.95 / CHF 40.– ISBN 978-88-7642-206-5

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Introduction to Classical GeometriesRamírez Galarza, A.I. / Seade, J.

2007. VIII, 219 p. SoftcoverEUR 29.90 / USD 39.95 / CHF 49.90 ISBN 978-3-7643-7517-1

The Grothendieck FestschriftA Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck Cartier, P. / Illusie, L. / Katz, N.M. / Laumon, G. / Manin, Y.I. / Ribet, K.A. (Eds)

MBC – Modern Birkhäuser Classics 1st ed.

Volume I 1990. 2nd printing 2007. XX, 498 p. 13 illus. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4566-3

Volume II Reprint of the 1990 ed. 2007. VIII, 563 p. 7 illus. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4567-0

Volume III Reprint of the 1990 ed. 2007. VII, 495 p. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4568-7

Metric Structures for Riemannian and Non-Riemannian Spaces Gromov, M.


1st ed. 1999. Corr. 2nd printing 2001. 3rd printing 2007. XX, 586 p. 100 illus. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4582-3

An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric ProblemCapogna, L. / Danielli, D. / Pauls, S.D. / Tyson, J.T.


2007. XVI, 223 p. HardcoverEUR 44.90 / USD 59.95 / CHF 75.– ISBN 978-3-7643-8132-5

An Invitation to Quantum Cohomology Kontsevich’s Formula for Rational Plane Curves Kock, J. / Vainsencher, I.


“The book is intended to be a friendly introduction to quantum cohomology. It makes the reader acquainted with the notions of stable curves and stable maps, and their moduli spaces. These notions are central in the field. … Each chapter ends with references for further readings, and also with a set of exercices which help fixing the ideas introduced in that chapter. This makes the book especially useful for graduate courses, and for graduate students who wish to learn about quantum cohomology.” — Zentralblatt Math

2007. XII, 159 p. HardcoverEUR 49.95 / USD 64.95 / CHF 77.50 ISBN 978-0-8176-4456-7

Differential Geometry and Analysis on CR ManifoldsDragomir, S. / Tomassini, G.


“In fact, it will be invaluable for people working on the differential geometry of CR manifolds.” — MathSciNet

2006. XIV, 487 p. HardcoverEUR 89.90 / USD 119.– / CHF 159.– ISBN 978-0-8176-4388-1

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The Monodromy GroupZoladek, H.

Monografie Matematyczne, Vol. 67

2006. XI, 580 p. HardcoverEUR 98.– / USD 149.– / CHF 168.– ISBN 978-3-7643-7535-5

Symplectic Invariants and Hamiltonian DynamicsHofer, H. / Zehnder, E.

BAT – Birkhäuser Advanced Texts

1994. XIV, 342 p. HardcoverEUR 49.– / USD 74.95 / CHF 88.– ISBN 978-3-7643-5066-6

Differential Geometry of Curves and Surfaces A Concise Guide Toponogov, V.A.

“This book by the late author covers … the subjects which are normally taught in a course on the differential geometry of curves and surfaces. … It can be recommended for first-year graduate students and also for use in the classroom. … the book is rich in geometry and concrete examples. … the book is very welcome since it is an original contribution in various aspects and gives a number of geometric insights … Numerous illustrations make the reading enjoyable.” — Mathematical Reviews

2006. XII, 206 p. 70 illus. SoftcoverEUR 54.90 / USD 69.95 / CHF 95.– ISBN 978-0-8176-4384-3

Geometric Problems on Maxima and MinimaAndreescu, T. / Mushkarov, O. / Stoyanov, L.

“As an avid problem solver with a strong interest in inequalities … I am delighted to supplement my repertoire with the techniques illustrated in this volume …

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The book contains hundreds of problems, classical and modern, all with hints or complete solutions … Over the years, Titu Andreescu and various collaborators have used their experiences as teachers and as Olympiad coaches to produce a series of excellent problem-solving manuals … The present volume continues that tradition and should appeal to a wide audience ranging from advanced high school students to professional mathematicians.” — MAA

2006. X, 264 p. 262 illus. SoftcoverEUR 54.90 / USD 74.95 / CHF 95.– ISBN 978-0-8176-3517-6

String Topology and Cyclic HomologyCohen, R.L. / Hess, K. / Voronov, A.A.



The Novikov Conjecture Geometry and Algebra Kreck, M. / Lück, W.


“Overall, the book is very suitable both as an introduction and as a reference, and finds exactly the right balance between detail, comprehensiveness and length of the presentation. It is recommended to everyone with a background in algebraic topology who wants to learn about one or some of the aspects covered.” — Mathematical Reviews

2005. XV, 266 p. SoftcoverEUR 39.90 / USD 54.95 / CHF 65.– ISBN 978-3-7643-7141-8

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Geometry / Topology

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Torus Actions on Symplectic Manifolds Audin, M.


“Through careful writing, this revised edition achieves much more than that volume, and can be considered, in fact, a new and improved book. The second edition contains more material, and includes several new results and techniques. Topics included in the first edition are now presented more thoroughly, with more results, illustrated by well-chosen examples, and many new exercises. The author has systematically addressed suggestions made in the review of the first edition. The book is nicely written, and is a good reference book. By including detailed proofs, illuminating examples and figures, and numerous exercises, the author has made this book a suitable text for a graduate course, especially one centered on Hamiltonian torus actions and their applications.” — Mathematical Reviews

2nd revised ed. 2004. VIII, 325 p. HardcoverEUR 79.95 / USD 109.– / CHF 129.– ISBN 978-3-7643-2176-5

Proper Group Actions and the Baum-Connes ConjectureMislin, G. / Valette, A.



Symplectic Geometry and Quantum Mechanicsde Gosson, M.

OT – Operator Theory: Advances and Applications, Vol. 166

2006. XX, 367 p. HardcoverEUR 139.– / USD 49.95 / CHF 219.– ISBN 978-3-7643-7574-4

Hybrid Dynamical Systems Controller and Sensor Switching Problems Savkin, A.V. / Evans, R.J.

Control Engineering

2002. X, 154 p. 22 illus. HardcoverEUR 59.95 / USD 79.95 / CHF 93.50 ISBN 978-0-8176-4224-2

Introduction to the Baum-Connes ConjectureValette, A.

LM – Lectures in Mathematics. ETH Zürich

“Overall, the book is a very valuable addition to the literature on the Baum-Connes conjecture. It is highly recommended reading for anyone interested in learning more about the conjecture, or who does research in areas related to it. Of course, the reader who wants to be an expert will eventually have to consult the original literature, but such is inevitable in a book of this size (around 100 pages) and not necessarily a bad thing.” — Mathematical Reviews


Cohomological Theory of Dynamical Zeta FunctionsJuhl, A.


2001. X, 709 p. HardcoverEUR 178.– / USD 219.– / CHF 288.– ISBN 978-3-7643-6405-2

Canonical Metrics in Kähler GeometryTian, G.


“This little monograph offers an essentially self-contained introduction to the theory of canonical Kähler metrics on complex

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Geometry / Topology

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manifolds. … The author presents some advanced topics which are hard [to] find elsewhere … This graduate course on Kähler-Einstein metrics can be recommended to all those interested in recent developments within complex differential geometry.” — Publicationes Mathematicae

2000. VII, 101 p. SoftcoverEUR 24.95 / USD 39.95 / CHF 39.90 ISBN 978-3-7643-6194-5

Lectures on Spaces of Nonpositive CurvatureBallmann, W.


1995. SoftcoverEUR 24.95 / USD 39.95 / CHF 39.90 ISBN 978-3-7643-5242-4

A General Topology Workbook Adamson, I.T.

“This well-printed, attractive little volume offers a first introduction to general topology, cast into the form of a problem collection … well-suited both for classroom use and for individual study.” — Publ. Math. Debrecen

1st ed. 1995. 164 p. SoftcoverEUR 44.95 / USD 59.95 / CHF 70.– ISBN 978-0-8176-3844-3

Symplectic Geometry of Integrable Hamiltonian SystemsAudin, M. / Cannas da Silva, A. / Lerman, E.


“This book, an expanded version of the lectures delivered by the authors at the ‘Centre de Recerca Matemàtica’ Barcelona in July 2001, is designed for a modern introduction to symplectic and contact geometry to graduate students. It can also

be useful to research mathematicians interested in integrable systems.” — Zentralblatt Math


Lectures on the Geometry of Poisson ManifoldsVaisman, I.


“The book serves well as an introduction and an overview of the subject and a long list of references helps with further study.” — Zentralblatt Math

1994. HardcoverEUR 79.95 / USD 109.– / CHF 129.– ISBN 978-3-7643-5016-1

Holomorphic Curves in Symplectic GeometryAudin, M. / Lafontaine, J. (Eds)


1994. HardcoverEUR 34.95 / USD 49.95 / CHF 54.90 ISBN 978-3-7643-2997-6

Riemannian Geometrydo Carmo, M.P.

MTA – Mathematics: Theory & Applications

“This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry.” — Publicationes Mathematicae

1992. XVI, 300 p. 53 illus. HardcoverEUR 39.95 / USD 54.95 / CHF 62.– ISBN 978-0-8176-3490-2

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Geometry / Topology

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Analysis / Operator Theory

A State Space Approach to Canonical Factorization with ApplicationsBart, H., Erasmus University Rotterdam, The Netherlands / Gohberg, I., Tel Aviv University, Israel / Kaashoek, M.A., Vrije Universiteit Amsterdam, The Netherlands / Ran, A.C.M., Vrije Universiteit Amsterdam, The Netherlands


Due in Spring 2010

The present book deals with canonical factorization of matrix and operator functions that appear in state space form or that can be transformed into such a form. A unified geometric approach is used. The main results are all expressed explicitly in terms of matrices or operators, which are parameters of the state space representation. The applications concern different classes of convolution equations: the transport equation, singular integral equations, Wiener-Hopf equations with symbols analytic in a strip, and equations involving factorization of non-proper rational matrix functions. The analysis of canonical factorization for functions with symmetries, including spectral and J-spectral factorizations, related Ricatti equations, and elements of H-infinity control theory are also main topics.

2010. Approx. 400 p. HardcoverApprox. EUR 129.– / USD 189.– / CHF 229.– ISBN 978-3-7643-8752-5

See also page 53.

Recent Advances in Operator Theory in Hilbert and Krein SpacesBehrndt, J., TU Berlin, Germany / Förster, K.-H., TU Berlin, Germany / Trunk, C., TU Ilmenau, Germany (Eds)

OT — Operator Theory: Advances and Applications, Vol. 198

Due in Spring 2010

The present book is a memorial volume devoted to Peter Jonas. It contains a collection of recent original research papers written by well-known specialists in the field of operator theory in Hilbert and Krein spaces. The papers contain new results for problems close to the area of research of Peter Jonas: Spectral, perturbation and scattering theory for linear operators and the analysis of related classes of functions.

2010. Approx. 330 p. HardcoverEUR 129.– / USD 179.– / CHF 199.–ISBN 978-3-0346-0179-5

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Complex AnalysisEbenfelt, P., University of California San Diego, USA / Hungerbühler, N., Université de Fribourg, Switzerland / Kohn, J.J., Princeton University, USA / Mok, N., University of Hong Kong, China / Straube, E.J., Texas A & M University, College Station, USA (Eds)


Due in Winter 2009

This volume represents the proceedings of a conference on Several Complex Variables, PDE’s, geometry, and their interactions, held July 7 – 11, 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild. The contributors are leading experts who were invited plenary speakers at the conference, or who were invited by the editors to contribute to this volume.

2010. Approx. 300 p. HardcoverApprox. EUR 69.95 / USD 99.– / CHF 109.–ISBN 978-3-0346-0008-8

Convolution and Singular Integral EquationsLerer, L. / Olshevsky, V., University of Connecticut, Storrs, USA / Spitkovsky, I.M., College of William and Mary, Williamsburg, USA (Eds)

OT – Operator Theory: Advances and Applications

Due in Winter 2009

This volume contains English translations of 13 groundbreaking papers on Toeplitz matrices and Wiener-Hopf equations and other classes of discrete and continuous convolution operators and singular integral equations. The papers are both of theoretical and numerical interest. In particular, the papers examine fast algorithms for inversion of these operators, the theory of discrete and continuous resultants, inversion via factorization, and symbol construction. Originally the papers were written in Russian more than thirty years ago; their English translation is published here for the first time. These papers solved difficult problems and opened new venues in the above-mentioned areas. They are still frequently quoted, and moreover, they exert a continuing influence on numerical analysis and other areas of Pure and Applied Mathematics and Engineering.

The book is addressed to a wide audience of mathematicians and engineers, from graduate students to researchers, whose interests lie in the above-mentioned areas.


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Fourier Analysis on Finite Abelian GroupsLuong, B., Department of Defense, USA

ANHA – Applied and Numerical Harmonic Analysis

Due in Winter 2009

Fourier analysis has been the inspiration for a technological wave of advances in fields such as imaging processing, financial modeling, cryptography, algorithms, and sequence design. This self-contained book provides a thorough look at the Fourier transform, one of the most useful tools in applied mathematics.With countless examples and unique exercise sets at the end of most sections, Fourier Analysis on Finite Abelian Groups is a perfect companion for a first course in Fourier analysis. The first two chapters provide fundamental material for a strong foundation to deal with subsequent chapters.Special topics including:

Computing Eigenvalues of the Fourier * transformApplications to Banach algebras* Tensor decompositions of the Fourier * transformQuadratic Gaussian sums*

This book provides a useful introduction for well-prepared undergraduate and graduate students and powerful applications that may appeal to researchers and mathematicians. The only prerequisites are courses in group theory and linear algebra.

2010. Approx. 170 p. HardcoverApprox. EUR 49.95 / USD 59.95 / CHF 77.– ISBN 978-0-8176-4915-9

Operator Algebras, Operator Theory and ApplicationsGrobler, J.J., North-West University, Potchefstroom, South Africa / Labuschagne, L.E., University of South Africa, Unisa, South Africa / Möller, M., University of the Witwatersrand, Wits, South Africa (Eds)


Due in Winter 2009

This volume contains the proceedings of the eighteenth International Workshop on Operator Theory and Applications (IWOTA), hosted by the Unit for Business Mathematics and Informatics of North-West University, Potchefstroom, South Africa from July 3 to 6, 2007. The conference (as well as these proceedings) was dedicated to Professors Joseph A. Ball and Marinus M. Kaashoek on the occasion of their 60th and 70th birthdays, respectively. This conference had a particular focus on Von Neumann algebras at the interface of operator theory with functional analysis and on applications of operator theory to differential equations.


Fourier Analysis on Finite Abelian Groups

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Boundary Integral Equations on Contours with PeaksMaz’ya, V., Linköping University, Sweden / Soloviev, A., Chelyabinsk State University, Russia


Due in Winter 2009

The purpose of this book is to give a comprehensive exposition of the theory of boundary integral equations for single and double layer potentials on curves with exterior and interior cusps. The theory was developed by the authors during the last twenty years and the present volume is based on their results. The first three chapters are devoted to harmonic potentials, and in the final chapter elastic potentials are treated. Theorems on solvability in various function spaces and asymptotic representations for solutions near the cusps are obtained. Kernels and cokernels of the integral operators are explicitly described. The method is based on a study of auxiliary boundary value problems which is of interest in itself.


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Propagation of Waves and the Equations of HydrodynamicsHadamard, J.


Due in Winter 2009

This seminal work of Hadamard on the mathematical theory of waves was written over 100 years ago and it continues to be cited as a reference by researchers in mathematical physics.The reason for the enduring interest in this book can be found in its legacy. The conception of waves as discontinuities in some level of derivative of a wave function that propagate along the bicharacteristics of the wave equation spawned many of the important advances to both the purely mathematical theory of hyperbolic equations, as well as the more physical and engineering-oriented treatments of the subject of wave motion.In mathematics, one can follow the implications of this work into the subsequent lectures that Hadamard gave on the Cauchy problem for linear partial differential equations. But one should regard this masterful treatise not only as a precursor to the later lectures on the Cauchy problem, but as a complementary work in which he establishes the roots of the mathematical theory in continuum mechanics.


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Characteristic Functions, Scattering Functions and Transfer FunctionsThe Moshe Livsic Memorial VolumeAlpay, D., Ben Gurion University of the Negev, Beer Sheva, Israel / Vinnikov, V., Ben Gurion University of the Negev, Beer Sheva, Israel (Eds)


Due in Autumn 2009

The notions of transfer function and characteristic functions proved to be fundamental in the last fifty years in operator theory and in system theory. Moshe Livsic played a central role in developing these notions, and the book contains a selection of carefully chosen refereed papers dedicated to his memory. Topics include classical operator theory, ergodic theory and stochastic processes, geometry of smooth mappings, mathematical physics, Schur analysis and system theory. The variety of topics attests well to the breadth of Moshe Livsic's mathematical vision and the deep impact of his work.

The book will appeal to researchers in mathematics, electrical engineering and physics.


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Applications of Teichmüller Theory to 3-ManifoldsHamenstädt, U., Universität Bonn, Germany / Lecuire, C., Université Paul Sabatier, Toulouse, France / Otal, J.-P., Université Paul Sabatier, Toulouse, France


Due in Winter 2009

This book contains a modern treatment of the Weil-Petersson geometry of Teichmüller space and an exposition of some recent results on the volume of convex cores of hyperbolic 3-manifolds. It also contains a complete proof of the ending lamination conjecture for hyperbolic 3-manifolds which are diffeomorphic to the product of a surface with the real line and whose injectivity radius is bounded from below.

2009. Approx. 200 p. SoftcoverEUR 39.95 / USD 59.95 / CHF 69.90 ISBN 978-3-7643-8792-1

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Four Short Courses on Harmonic Analysis Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis Massopust, P., Helmholtz Zentrum München, Neuherberg, Germany / Forster-Heinlein, B., Technische Universität München, Garching bei München, Germany (Eds)


Due in October 2009

This state-of-the-art textbook covers four research directions in harmonic analysis and presents some of its latest applications. It is the first work that combines spline theory, wavelets, frames, and time-frequency methods up to construction on manifolds other then Rn. The interdisciplinary chapters have expository character, allowing the reader to understand the theory behind modern image and signal processing methodologies. The main emphasis is on the interdependence of the four modern research directions. Each chapter ends with exercises that allow for a more in-depth understanding of the material and are intended to stimulate the reader toward further research. A comprehensive index completes the work. Topics covered include frames and bases in mathematics and engineering, wavelets with composite dilations and their applications, wavelets on the sphere and their applications, Wiener’s Lemma: theme and variations.

2009. Approx. 305 p. 40 illus. HardcoverApprox. EUR 39.95 / USD 49.95 / CHF 69.90 ISBN 978-0-8176-4890-9

Four Short Courses on Harmonic Analysis

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The Hardy Space of a Slit DomainAleman, A., Lund University, Lund, Sweden / Feldman, N.S., Washington and Lee University, Lexington, VA, USA / Ross, W.T., University of Richmond, VA, USA


Due in October 2009

The book begins with an exposition of Hardy spaces of slit domains and then proceeds to several descriptions of the invariant subspaces of the operator multiplication by z. Along the way, we discuss and characterize the nearly invariant subspaces of these Hardy spaces and examine conditions for z-invariant subspaces to be cyclic. This work also makes important connections to model spaces for the standard backward shift operator as well as the de Branges spaces of entire functions. The book is written for a graduate student or professional with a reasonable knowledge of Hardy spaces of the disk and basic complex and functional analysis.


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Recent Developments in Real and Harmonic Analysis In Honor of Carlos Segovia Cabrelli, C., University of Buenos Aires, Argentina / Torrea, J.L., Universidad Autónoma de Madrid, Spain (Eds)



This unified and self-contained volume examines recent developments in real and harmonic analysis. It is a collection of invited articles, dedicated to Dr. Carlos Segovia on the occasion of his 65th birthday. The first part of the book is comprised of four expository chapters reflecting material presented in mini-courses written by outstanding researchers in their fields. The second part of the books contains state-of-the-art survey chapters covering topics related to Segovia’s work and research interests during his distinguished career.

This book will be useful to graduate students and pure and applied mathematicians interested in new mathematical developments in areas related to real and harmonic analysis.

Contributors include: H. Aimar, A. Bonami, O. Blasco, L. Caffarelli, A. de la Torre, L. Forzani, C. Gutierrez, E. Harboure, E. Hernadez, C. Kenig, R. Macías, F.J. Marin-Reyes.

2009. Approx. 215 p. 13 illus. HardcoverApprox. EUR 89.95 / USD 119.– / CHF 137.– ISBN 978-0-8176-4531-1

Recent Developments in Real and Harmonic Analysis

Tauberian OperatorsGonzález, M., Universidad Cantabria, Santander, Spain / Martínez-Abejón, A., Universidad de Oviedo, Spain



This book gives a complete exposition of the theory of tauberian operators from the very basic results to the most recent advances making emphasis in its applications to Banach space theory. After describing the origins of the subject in the study of summability of series, it presents the general theory for tauberian operators on abstract Banach spaces. The main sources of examples of tauberian operators are described in detail, including the case of operators on spaces of integrable functions.

2009. Approx. 260 p. HardcoverApprox. 89.95 / USD 129.– / CHF 139.– ISBN 978-3-7643-8997-0

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Inequalities A Mathematical Olympiad Approach Bulajich Manfrino, R., Universidad Autónoma del Estado de Morelos, Mexico / Gómez Ortega, J.A., Universidad Nacional Autónoma de Mexico / Valdez Delgado, R., Universidad Autónoma del Estado de Morelos, Mexico


This book presents classical inequalities and specific inequalities which are particularly useful for attacking and solving optimization problems. Most of the examples, exercises and problems that appear in the book originate from Mathematical Olympiad contests around the world.

The material is divided into four chapters. In Chapter 1 algebraic inequalities are presented, starting with the basic ones and ending with more sophisticated techniques; Chapter 2 deals with geometric inequalities and Chapter 3 comprises a comprehensive list of recent problems that appeared in those contests during the last 14 years. Finally, hints and solutions to all exercises and problems are given in Chapter 4.



Holomorphic Operator Functions of One Variable and Applications Methods from Complex Analysis in Several Variables Gohberg, I., University of Tel Aviv, Israel / Leiterer, J., Humboldt University, Berlin, Germany


This is a book on holomorphic operator functions of a single variable and applications, which is focused on the relations between local and global theories. It is based on methods and technics of complex analysis of several variables. The first part of the theory starts with a generalization of some results from the basics of analysis of scalar functions of one complex variable. In the second part results are obtained by methods and tools adapted from complex analysis of functions of several variables. We have in mind the theory of holomorphic cocycles with values in infinite-dimensional non-commutative groups. As a rule, these results do not appear in traditional complex analysis of one variable, not even for matrix valued cocycles. The third part consists of applications to operator theory. Here applications are presented for holomorphic families of subspaces and Plemelj-Muschelishvili factorization. The fourth part presents a generalization of the theory of cocycles to cocycles with restrictions. This part contains also applications to interpolation problems, to the problem of holomorphic equivalence and diagonalization.


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Explorations in Harmonic Analysis With Applications to Complex Function Theory and the Heisenberg Group Krantz, S.G., Washington University, St. Louis, MO, USA


This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis. Within the textbook, the new ideas on the Heisenberg group are applied to the study of estimates for both the Szegö and Poisson–Szegö integrals on the unit ball in complex space. Thus the main theme of the book is also tied into complex analysis of several variables. With a rigorous but well-paced exposition, this text provides all the necessary background in singular and fractional integrals, as well as Hardy spaces and the function theory of several complex variables, needed to understand Heisenberg analysis. Explorations in Harmonic Analysis is ideal for graduate students in mathematics, physics, and engineering. Prerequisites include a fundamental background in real and complex analysis and some exposure to functional analysis.

2009. XIV, 366 p. 26 illus. HardcoverEUR 54.95 / USD 69.95 / CHF 95.– ISBN 978-0-8176-4668-4

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Recent Advances in Operator Theory and ApplicationsAndo, T., Hokkaido University, Japan / Curto, R.E., University of Iowa, IA, USA / Jung, I.B., Kyungppok National University, South Korea / Lee, W.Y., Seoul National University, South Korea (Eds)


This volume contains the proceedings of the International Workshop on Operator Theory and Applications (IWOTA 2006) held at Seoul National University, Seoul, Korea, from July 31 to August 3, 2006. The special interest areas of this workshop were Hilbert/Krein space operator theory, complex function theory related to Hilbert space operators, and systems theory related to Hilbert space operators. This volume contains sixteen research papers which reflect recent developments in operator theory and applications.


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Analysis and Mathematical PhysicsGustafsson, B., Royal Technology Institute, Stockholm, Sweden / Vasiliev, A., University of Bergen, Norway (Eds)


Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme ‘Harmonic and Complex Analysis and Applications’ held in Norway 2007.

2009. 524 p. HardcoverEUR 99.– / USD 139.– / CHF 175.– ISBN 978-3-7643-9905-4


Minimax Systems and Critical Point TheorySchechter, M., University of California Irvine, CA, USA

Many problems in science and engineering involve the solution of differential equations or systems. One of most successful methods of solving nonlinear equations is the determination of critical points of corresponding functionals. The study of critical points has grown rapidly in recent years and has led to new applications in other scientific disciplines. This monograph continues this theme and studies new results discovered since the author’s preceding book entitled Linking Methods in Critical Point Theory.

Written in a clear, sequential exposition, topics include semilinear problems, Fucik spectrum, multidimensional nonlinear wave equations, elliptic systems, and sandwich pairs, among others. With numerous examples and applications, this book explains the fundamental importance of minimax systems and describes how linking methods fit into the framework.

Minimax Systems and Critical Point Theory is accessible to graduate students with some background in functional analysis, and the new material makes this book a useful reference for researchers and mathematicians.

2009. XIV, 242 p. HardcoverEUR 64.90 / USD 79.95 / CHF 109.– ISBN 978-0-8176-4805-3

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Colloquium De Giorgi 2007 and 2008Zannier, U., Scuola Normale Superiore, Pisa, Italia (Ed.)

Publications of the Scuola Normale Superiore, Colloquia Vol. 2

Since 2001 the Scuola Normale Superiore di Pisa has organized the “Colloquio De Giorgi”, a series of colloquium talks named after Ennio De Giorgi. The Colloquio is addressed to a general mathematical audience, and especially meant to attract graduate students and advanced undergraduate students. The lectures are intended to be not too technical, in fields of wide interest. They must provide an overview of the general topic, possibly in a historical perspective, together with a description of more recent progress.

The idea of collecting the materials from these lectures and publishing them in annual volumes came out recently, as a recognition of their intrinsic mathematical interest, and also with the aim of preserving memory of these events.

2009. Approx. 120 p. SoftcoverEUR 19.– / USD 29.95 / CHF 32.– ISBN 978-88-7642-344-4

Modern Analysis and Applications The Mark Krein Centenary Conference Adamyan, V. et al (Eds)

OT – Operator Theory: Advances and Applications, Vol. 190 and Vol. 191

These two volumes contain peer-reviewed research and survey papers based on invited talks at the International Conference on Modern Analysis and Applications. The conference, which was dedicated to the 100th anniversary of the birth of Mark Krein, one of the greatest mathematicians of the 20th century, was held in Odessa, Ukraine, on April 9 – 14, 2007. The papers describe the contemporary development of subjects influenced by Krein, such as the theory of operators in Hilbert and Krein spaces, differential operators, applications of functional analysis in function theory, theory of networks and systems, mathematical physics and mechanics.

Volume 1: Operator Theory and Related Topics 2009. 510 p. HardcoverEUR 169.– / USD 249.– / CHF 299.– ISBN 978-3-7643-9918-4

Volume 2: Differential Operators and Mechanics 2009. 535 p. HardcoverEUR 169.– / USD 249.– / CHF 299.– ISBN 978-3-7643-9920-7

Set2009. 1000 p. 2-volume-set. EUR 299.– / USD 449.– / CHF 490.– ISBN 978-3-7643-9924-5

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Interpolation Theory Lunardi, A., Università di Parma, Italia

Publications of the Scuola Normale Superiore, Lecture Notes Vol. 9

This book contains the lecture notes of a basic course in interpolation theory. In the mathematical literature there are many good books on the subject, but none of them is very elementary, and in many cases the basic principles are hidden below great generality. In this second edition, the principles of interpolation theory are illustrated aiming at simplification rather than at generality. The abstract theory is reduced as far as possible, and many examples and applications are given, especially to operator theory and to regularity in partial differential equations. Moreover the treatment is self-contained, the only prerequisite being the knowledge of basic functional analysis.

2nd ed. 2009. Approx. 190 p. SoftcoverEUR 25.– / USD 34.95 / CHF 40.– ISBN 978-88-7642-342-0

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Singularities in Nonlinear Evolution PhenomenaNovaga, M., Università di Padova, Italia / Orlandi, G., Università di Verona, Italia (Eds)

Publications of the Scuola Normale Superiore, CRM Series Vol. 9

This volume collects some contributed papers by the participants to the workshop “Singularities in nonlinear evolution phenomena and applications”, which was held at the Centro di Ricerca Matematica E. De Giorgi, from May 26th to May 30th, 2008.

The topic of the workshop was the formation and the evolution of singular structures, like systems of points, curves and surfaces.

Such questions naturally arise in many models from physics, biology, image processing and applied mathematics in general, and have attracted a lot of attention in recent years. Their analysis requires sophisticated tools and an interdisciplinary approach, and poses new challenging mathematical problems.

2009. Approx. 250 p. SoftcoverEUR 29.– / USD 39.95 / CHF 48.– ISBN 978-88-7642-343-7

Second Edition

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Lecture Notes on Diophantine AnalysisZannier, U.


These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue’s celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several supplements, hinted exercises and an appendix on recent work on heights.

2009. XVI, 237 p. SoftcoverEUR 25.– / USD 34.95 / CHF 40.– ISBN 978-88-7642-341-3

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Mathematical Analysis An Introduction to Functions of Several Variables Giaquinta, M., Scuola Normale Superiore, Pisa, Italy / Modica, G., Università di Firenze, Italy

This self-contained work is an introductory presentation of basic ideas, structures, and results of differential and integral calculus for functions of several variables. The wide range of topics covered include: differential calculus of several variables, including differential calculus of Banach spaces, the relevant results of Lebesgue integration theory, differential forms on curves, a general introduction to holomorphic functions, including singularities and residues, surfaces and level sets, and systems and stability of ordinary differential equations. An appendix highlights important mathematicians and other scientists whose contributions have made a great impact on the development of theories in analysis.

Mathematical Analysis: An Introduction to Functions of Several Variables motivates the study of the analysis of several variables with examples, observations, exercises, and illustrations. It may be used in the classroom setting or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering.

2009. XII, 348 p. 105 illus. HardcoverEUR 119.– / USD 149.– / CHF 199.– ISBN 978-0-8176-4509-0

See also page 53.

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The Flow Associated to Weakly Differentiable Vector FieldsCrippa, G., Università degli Studi di Parma, Italy


The aim of this book is to provide a self-contained introduction and an up-to-date survey on many aspects of the theory of transport equations and ordinary differential equations with non-smooth velocity fields. The interest in this topic is motivated by important issues in nonlinear PDEs, in particular conservation laws and fluid mechanics. A fascinating feature of this research area, which is currently of concern in mathematics, is the interplay between PDE techniques and geometric measure theory techniques. Several masterpieces appear in the related literature, balancing completely rigorous proofs with more heuristic arguments. A consistent part of the book is based on results obtained by the author in collaboration with other mathematicians.

2009. XV, 167 p. SoftcoverEUR 18.– / USD 24.95 / CHF 30.– ISBN 978-88-7642-340-6


Analysis IIIAmann, H., Universität Zürich, Switzerland / Escher, J., Universität Hannover, Germany

The third and last volume of this work is devoted to integration theory and the fundamentals of global analysis. Once again, emphasis is laid on a modern and clear organization, leading to a well structured and elegant theory and providing the reader with effective means for further development. Thus, for instance, the Bochner – Lebesgue integral is considered with care, since it constitutes an indispensable tool in the modern theory of partial differential equations. Similarly, there is discussion and a proof of a version of Stokes’ Theorem that makes ample allowance for the practical needs of mathematicians and theoretical physicists.

As in earlier volumes, there are many glimpses of more advanced topics, which serve to give the reader an idea of the importance and power of the theory. These prospective sections also help drill in and clarify the material presented.

Numerous examples, concrete calculations, a variety of exercises and a generous number of illustrations make this textbook a reliable guide and companion for the study of analysis.

2009. XII, 468 p. SoftcoverEUR 69.90 / USD 99.– / CHF 125.– ISBN 978-3-7643-7479-2

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Schwarz-Pick Type InequalitiesAvkhadiev, F.G., Kazan State University, Russia / Wirths, K.-J., Technical University Braunschweig, Germany


This book discusses in detail the extension of the Schwarz-Pick inequality to higher order derivatives of analytic functions with given images. It is the first systematic account of the main results in this area. Recent results in geometric function theory presented here include the attractive steps on coefficient problems from Bieberbach to de Branges, applications of some hyperbolic characteristics of domains via Beardon-Pommerenke’s theorem, a new interpretation of coefficient estimates as certain properties of the Poincaré metric, and a successful combination of the classical ideas of Littlewood, Löwner and Teichmüller with modern approaches. The material is complemented with historical remarks on the Schwarz Lemma and a chapter introducing some challenging open problems.

The book will be of interest for researchers and postgraduate students in function theory and hyperbolic geometry.


Analysis IIAmann, H., Universität Zürich, Switzerland / Escher, J., Universität Hannover, Germany

The second volume deals with the integration theory of functions of one variable, the multidimensional differential calculus and the theory of curves and line integrals. The modern and clear development that started in Volume I continues. In this way a sustainable basis will be created which allows to deal with interesting applications that sometimes go considerably beyond the material that is represented in traditional textbooks. This applies, for instance, to the exploration of Nemytskii operators which enable a transparent introduction into the calculus of variations and the derivation of the Euler-Lagrange equations. Another example is the presentation of the local theory of submanifolds of Rn.

2008. XII, 400 p. SoftcoverEUR 69.90 / USD 99.– / CHF 125.– ISBN 978-3-7643-7472-3

Analysis IAmann, H. / Escher, J.

“It is a wonderful book that distinguishes itself by the clarity of presentation, by the fact that it is self-contained and has many exercises at various degrees of difficulty (among many other great qualities.) … [It] is a very elegant and complete treatment of topics usually not found in analysis books ... In summary, we have here a very-very good, self-contained, well written book.” — MAA Reviews

2005. XV, 426 p. SoftcoverEUR 59.90 / USD 89.95 / CHF 105.– ISBN 978-3-7643-7153-1

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Hypercomplex AnalysisSabadini, I., Politecnico di Milano, Italia / Shapiro, M., IPN, Mexico City, Mexico / Sommen, F., University of Gent, Belgium (Eds)


This book contains selected papers from the ISAAC conference 2007 and invited contributions. The topics covered represent the main streams of research in hypercomplex analysis as well as “state of the art” expository articles.

The book will be of interest to researchers and postgraduate students in various areas of mathematical analysis, e.g. one and several complex variables; PDE; hypercomplex analysis; operator theory; theoretical and mathematics physics.



Extension problems in complex and CR-geometrySaracco, A., Università di Milano-Bicocca, Italia


This book is both a survey of some aspects of extension problems in Complex Analysis and Geometry and a collection of results by the author. After recalling the preliminary and necessary notions of complex analysis, the survey focuses on extension of holomorphic functions (filling both compact and non-compact holes), on the reflection principle, on extension results via cohomology vanishing, and on the boundary problem. The last two subjects include detailed results by the author on non-compact extension: the cohomology of semi q-coronae and the unbounded boundary problem.

2009. 150 p. SoftcoverEUR 18.– / USD 24.95 / CHF 30.– ISBN 978-88-7642-338-3

Extension problems in complex and CR-geometry

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New Developments in Pseudo-Differential Operators ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara,Turkey, August 2007 Rodino, L., Università di Torino, Italia / Wong, M. W., York University, Toronto, ON, Canada (Eds)


This volume consists of seventeen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at the Middle East Technical University in Ankara,Turkey on August 13 – 18, 2007, and invited papers by experts in the field. Included in this volume are such topics as analysis and partial differential equations related to the Heisenberg group; global analysis and pseudo-differential analysis on non-compact manifolds and manifolds with singularities; Fourier integral operators and Colombeau algebras with applications to partial differential equations; exotic pseudo-differential operators and regularity results on quasi-elliptic operators and hypoelliptic operators; Stockwell transforms in time-frequency analysis; and pseudo-differential operators on Lie groups with related results to sampling.


An Introduction to the Theory of Functional Equations and Inequalities Cauchy’s Equation and Jensen’s Inequality Kuczma, M.

“The second half of the title of this book describes its contents adequately. Probably even the most devoted specialist would not have thought that about 300 pages can be written just about the Cauchy equation (and on some closely related equations and inequalities). And the book is by no means chatty, and does not even claim completeness. Part I lists the required preliminary knowledge in set and measure theory, topology and algebra. Part II gives details on solutions of the Cauchy equation and of the Jensen inequality …, in particular on continuous convex functions, Hamel bases, on inequalities following from the Jensen inequality … Part III deals with related equations and inequalities (in particular, Pexider, Hosszú, and conditional equations, derivations, convex functions of higher order, subadditive functions and stability theorems). It concludes with an excursion into the field of extensions of homomorphisms in general.” — Mathematical Reviews (Review of the first edition)

2nd ed. 2009. XIV, 595 p. SoftcoverEUR 69.90 / USD 99.– / CHF 125.– ISBN 978-3-7643-8748-8

Second Edition

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Spectral Theory in Inner Product Spaces and Applications 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, Berlin, December 2006 Behrndt, J., TU Berlin, Germany / Förster, K.-H., TU Berlin, Germany / Langer, H., TU Wien, Austria / Trunk, C., TU Ilmenau, Germany (Eds)


This book contains a collection of recent research papers originating from the 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, which was held at the TU Berlin, Germany, December 14 to 17, 2006. The contributions in this volume are devoted to spectral and perturbation theory of linear operators in spaces with an inner product, generalized Nevanlinna functions and problems and applications in the field of differential equations. Among the discussed topics are linear relations, singular perturbations, de Branges spaces, nonnegative matrices and abstract kinetic equations.

2009. XX, 250 p. HardcoverEUR 129.– / USD 179.– / CHF 229.– ISBN 978-3-7643-8910-9


Shape-Preserving Approximation by Real and Complex PolynomialsGal, S.G., University of Oradea, Romania

This monograph presents the first comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables. Such approximation methods are useful in many problems that arise in science and engineering and require an optimal mathematical representation of physical reality. Shape-Preserving Approximation by Real and Complex Polynomials contains many open problems at the end of each chapter to stimulate future research along with a rich and updated bibliography surveying the vast literature. The text will be useful to graduate students and researchers interested in approximation theory, mathematical analysis, numerical analysis, computer aided geometric design, robotics, data fitting, chemistry, fluid mechanics, and engineering.

2008. XIII, 352 p. HardcoverEUR 64.90 / USD 79.95 / CHF 115.– ISBN 978-0-8176-4702-5

Shape-Preserving Approximation by Real and Complex Polynomials

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Growth Theory of Subharmonic FunctionsAzarin, V.S., Bar Ilan University, Ramat Gan, Israel


In this book an account of the growth theory of subharmonic functions is given, which is directed towards its applications to entire functions of one and several complex variables.

The presentation aims at converting the noble art of constructing an entire function with prescribed asymptotic behaviour to a handicraft. For this one should only construct the limit set that describes the asymptotic behaviour of the entire function.

All necessary material is developed within the book, hence it will be most useful as a reference book for the construction of entire functions.

2009. VI, 259 p. HardcoverEUR 59.90 / USD 89.95 / CHF 105.– ISBN 978-3-7643-8885-0

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Methods of Spectral Analysis in Mathematical Physics Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2006, Lund, Sweden Janas, J., IMPAN Warsaw, Poland / Kurasov, P., Lund Institute of Technology, Sweden / Laptev, A., Royal Institute of Technology, Sweden / Naboko, S., St. Petersburg University, Russia / Stolz, G., University of Alabama at Birmingham, USA (Eds)


The volume contains the proceedings of the OTAMP 2006 (Operator Theory, Analysis and Mathematical Physics) conference held at Lund University in June 2006. The conference was devoted to the methods of analysis and operator theory in modern mathematical physics. The following special sessions were organized during the conference: Spectral analysis of Schrödinger operators; Jacobi and CMV matrices and orthogonal polynomials; Quasi-periodic and random Schrödinger operators; Quantum graphs.


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Representations, Wavelets, and Frames A Celebration of the Mathematical Work of Lawrence W. Baggett Jorgensen, P.E.T., University of Iowa, Iowa City, USA / Merrill, K.D., Colorado College, Colorado Springs, USA / Packer, J.A., University of Colorado at Boulder, USA (Eds)


Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectral-theoretic flavor. The material is self-contained and presented in a pedagogical style that is accessible to students from both pure and applied mathematics while also of interest to engineers.Contributors: C. Benson, M. Bownik, V. Furst, V. W. Guillemin, B. Han, C. Heil, J.A. Hogan, P.E.T. Jorgensen, K. Kornelson, J.D. Lakey, D.R. Larson, K.D. Merrill, J.A. Packer, G. Ratcliff, K. Shuman, M.-S. Song, D.W. Stroock, K.F. Taylor, E. Weber, X. Zhang.

2008. XL, 324 p. 22 illus. HardcoverEUR 64.90 / USD 79.95 / CHF 115.– ISBN 978-0-8176-4682-0

Geometric Integration TheoryKrantz, S.G., American Institute of Mathematics, Palo Alto, CA, USA / Parks, H.R., Oregon State University, Corvallis, OR, USA


This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and


can be used to study generalized versions of the Plateau problem and related questions in geometric analysis.The text provides considerable background for the student and discusses techniques that are applicable to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics. Topics include the deformation theorem, the area and coareas formulas, the compactness theorem, the slicing theorem and applications to minimal surfaces.Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for both use in the classroom and for self-study. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.

2008. XIII, 339 p. 33 illus. HardcoverEUR 54.90 / USD 69.95 / CHF 95.– ISBN 978-0-8176-4676-9

Frames and Bases An Introductory Course Christensen, O., Technical University of Denmark, Lyngby, Denmark


Based on a streamlined presentation of the author’s previous work, An Introduction to Frames and Riesz Bases, this new textbook fills a gap in the literature, developing frame theory as part of a dialogue between mathematicians and engineers. Newly added sections on applications will help mathematically oriented readers to see where frames are used in practice and engineers to discover the mathematical background for applications in their field.Key features include results presented in a way that is accessible to graduate students, mathematicians, and engineers; a presentation of basic results in finite-dimensional vector spaces, enabling readers

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on each commonly considered weighted Bergman space together with their explicit descriptions; a systematic study of Toeplitz operators with unbounded symbols; a clarification of the difference between compactness of commutators and semi-commutators of Toeplitz operators; the theory of Toeplitz and related operators with symbols having more than two limit values at boundary points; and a kind of semi-classical analysis of spectral properties of Toeplitz operators. The book is addressed to a wide audience of mathematicians, from graduate students to researchers, whose primary interests lie in complex analysis and operator theory.

2008. XXIX, 417 p. HardcoverEUR 119.– / USD 169.– / CHF 209.– ISBN 978-3-7643-8725-9

Optimal Domain and Integral Extension of Operators Acting in Function Spaces Okada, S., Australian National University, Canberra, ACT, Australia / Ricker, W.J. , Katholische Universität Eichstätt, Germany / Sánchez Pérez, E.A., Universidad Técnica de Valencia, Spain


This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, its optimal domain, and to take advantage of this in analyzing the original operator. Applications are given to Maurey-Rosenthal factorization of operators and to classical operators arising in commutative harmonic analysis. The main tool is the vector measure associated to such an operator, which produces a corresponding space of integrable functions and an integration operator.


with a basic knowledge of linear algebra to understand the idea behind frames without the technical complications in infinite-dimensional spaces; extensive exercises; and a detailed description of frames with full proofs, an examination of the relationship between frames and Riesz bases, and a discussion of various ways to construct frames. Frames and Bases: An Introductory Course will be an excellent textbook for graduate students as well as a good reference for researchers working in pure and applied mathematics, mathematical physics, and engineering. Practitioners working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find the book a useful self-study resource.

2008. XVIII, 313 p. 14 illus. HardcoverEUR 39.90 / USD 49.95 / CHF 69.90 ISBN 978-0-8176-4677-6

Commutative Algebras of Toeplitz Operators on the Bergman SpaceVasilevski, N., CINVESTAV, Mexico-City, Mexico


This book is devoted to the spectral theory of commutative C*-algebras of Toeplitz operators on the Bergman space and its applications. For each such commutative algebra there is a unitary operator which reduces Toeplitz operators from this algebra to certain multiplication operators, thus providing their spectral type representations. This yields a powerful research tool giving direct access to the majority of the important properties of the Toeplitz operators studied herein, such as boundedness, compactness, spectral properties, invariant subspaces. The presence and exploitation of these spectral type representations forms the core for many results presented in the book. Among other results it contains a criterion of when the algebras are commutative

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The Bartle-Dunford-Schwartz Integral Integration with Respect to a Sigma-Additive Vector Measure Panchapagesan, T.V., Bangalore, India


This volume is a thorough and comprehensive treatise on vector measures. The functions to be integrated can be either [0,infinity]- or real- or complex-valued and the vector measure can take its values in arbitrary locally convex Hausdorff spaces. Moreover, the domain of the vector measure does not have to be a sigma-algebra: it can also be a delta-ring. The book contains not only a large amount of new material but also corrects various errors in well-known results available in the literature. It will appeal to a wide audience of mathematical analysts.

2008. XV, 301 p. HardcoverEUR 79.90 / USD 109.– / CHF 139.– ISBN 978-3-7643-8601-6

Elliptic Theory and Noncommutative Geometry Nonlocal Elliptic Operators Nazaikinskii, V.E., Institute for Problems in Mechanics, Moscow / Savin, A.Y., Independent University of Moscow / Sternin, B.Y., Independent University of Moscow


The book deals with nonlocal elliptic differential operators. These are operators whose coefficients involve shifts generated by diffeomorphisms of the manifold on which the operators are defined. The main goal of the study is to relate analytical invariants (in particular, the index) of such operators to topological invariants of the manifold itself. This problem can be solved by modern methods of noncommutative geometry. To make the book self-contained, the authors have included necessary


geometric material (C*-algebras and their K-theory, cyclic homology, etc.).

2008. XII, 224 p. HardcoverEUR 79.90 / USD 109.– / CHF 139.– ISBN 978-3-7643-8774-7

Approximation of Additive Convolution-Like Operators Real C*-Algebra Approach Didenko, V.D., University Brunei Darussalam, Brunei / Silbermann, B., TU Chemnitz, Germany


This book deals with numerical analysis for certain classes of additive operators and related equations, including singular integral operators with conjugation, the Riemann-Hilbert problem, Mellin operators with conjugation, double layer potential equation, and the Muskhelishvili equation. The authors propose a unified approach to the analysis of the approximation methods under consideration based on special real extensions of complex C*-algebras. The list of the methods considered includes spline Galerkin, spline collocation, qualocation, and quadrature methods.


Operator Algebras, Operator Theory and ApplicationsBastos, M.A., Technical University of Lisbon, Portugal / Gohberg, I., Tel Aviv University, Ramat Aviv, Israel / Lebre, A.B., Technical University of Lisbon, Portugal / Speck, F.-O., Technical University of Lisbon, Portugal (Eds)


This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 – the International Summer School and

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two parts can be read independently, the first one by the reader more interested in non-smooth analysis and analysis in metric spaces, and the second one by the reader more orientated towards the applications in partial differential equations, measure theory and probability.

2nd ed. 2008. VII, 334 p. SoftcoverEUR 39.90 / USD 59.95 / CHF 69.90 ISBN 978-3-7643-8721-1

C*-algebras and Elliptic Theory IIBurghelea, D., Ohio State University, Columbus, OH, USA / Melrose, R., MIT, Cambridge, CA, USA / Mishchenko, A.S., Moscow State University, Russia / Troitsky, E.V., Moscow State University, Russia (Eds)


This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and non-commutative spaces. The topics covered include the index of operators, torsion invariants, K-theory of operator algebras and L2-invariants. The results presented in this book, which is largely inspired and stimulated by the Atiyah-Singer index theorem, should be of interest to graduates and researchers in mathematical physics, differential topology and differential analysis.

2008. IX, 309 p. HardcoverEUR 99.– / USD 139.– / CHF 175.– ISBN 978-3-7643-8603-0

Exponentially Dichotomous Operators and Applicationsvan der Mee, C.V.M., Università di Cagliari, Italy


In this monograph the natural evolution operators of autonomous first-order

Workshop on Operator Algebras, Operator Theory and Applications, which was held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The lecture courses contain: an introduction to two classes of non-selfadjoint operator algebras, the generalized analytic Toeplitz algebras associated with the Fock space of a graph and subalgebras of graph C*-algebras; three topics on numerical functional analysis that are the cornerstones in asymptotic spectral theory: stability, fractality and Fredholmness; a survey concerning Hilbert spaces of holomorphic functions on Hermitian symmetric domains of arbitrary rank and dimension, in relation to operator theory, harmonic analysis and quantization.

2008. XIV, 437 p. HardcoverEUR 169.– / USD 229.– / CHF 299.– ISBN 978-3-7643-8683-2

Gradient Flows In Metric Spaces and in the Space of Probability Measures Ambrosio, L., Scuola Normale Superiore, Pisa, Italy / Gigli, N., Scuola Normale Superiore, Pisa, Italy / Savaré, G., University of Pavia, Italy


This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure. It consists of two parts, the first one concerning gradient flows in metric spaces and the second one devoted to gradient flows in the space of probability measures on a separable Hilbert space, endowed with the Kantorovich-Rubinstein-Wasserstein distance.The two parts have some connections, due to the fact that the space of probability measures provides an important model to which the “metric” theory applies, but the book is conceived in such a way that the

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differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these so-called exponentially dichotomous operators in terms of their resolvents and additive and multiplicative perturbation results are given. The general theory of the first three chapters is then followed by applications to Wiener-Hopf factorization and Riccati equations, transport equations, diffusion equations of indefinite Sturm-Liouville type, noncausal infinite-dimensional linear continuous-time systems, and functional differential equations of mixed type.

2008. XV, 224 p. HardcoverEUR 79.90 / USD 109.– / CHF 139.– ISBN 978-3-7643-8731-0

Integral Methods in Science and Engineering Techniques and Applications Constanda, C. / Potapenko, S. (Eds)


Holomorphic Morse Inequalities and Bergman KernelsMa, X. / Marinescu, G.


2007. XIII, 422 p. HardcoverEUR 59.90 / USD 89.95 / CHF 105.– ISBN 978-3-7643-8096-0

Recent Advances in Matrix and Operator TheoryBall, J.A. / Eidelman, Y. / Helton, J.W. / Olshevsky, V. / Rovnyak, J. (Eds)




Factorization of Matrix and Operator Functions: The State Space MethodBart, H. / Gohberg, I. / Kaashoek, M.A. / Ran, A.C.M.



Mathematical Analysis Linear and Metric Structures and Continuity Giaquinta, M. / Modica, G.

“This book is suitable as a text for graduate students. Photographs of Banach, Fréchet, Hausdorff, Hilbert and some others mathematicians are imprinted in order to involve [the reader] in the work of mathematicians.” — Zentralblatt Math

2007. XVIII, 470 p. 128 illus. SoftcoverEUR 54.95 / USD 74.95 / CHF 85.50 ISBN 978-0-8176-4375-1

PositivityBoulabiar, K. / Buskes, G. / Triki, A. (Eds)



Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras Müller, V.


2nd ed. 2007. VIII, 439 p. HardcoverEUR 129.– / USD 179.– / CHF 219.– ISBN 978-3-7643-8264-3

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reference in the future and, moreover, it opens a perspective on further directions of research.” — Zentralblatt Math

2007. X, 439 p. HardcoverEUR 69.90 / USD 79.95 / CHF 119.– ISBN 978-0-8176-4537-3

Methods of Nonlinear Analysis Applications to Differential Equations Drábek, P. / Milota, J.


2007. XII, 568 p. 78 illus. HardcoverEUR 69.90 / USD 89.95 / CHF 119.– ISBN 978-3-7643-8146-2

Notions of Convexity Hörmander, L.


Reprint of the 1st ed. 1994 2007. VIII, 414 p. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4584-7

Nonstandard AnalysisVäth, M.


Wavelet Analysis and ApplicationsQian, T. / Vai, M.I / Xu, Y. (Eds)


2007. XIV, 574 p. With CD-ROM. HardcoverEUR 129.– / USD 175.– / CHF 199.– ISBN 978-3-7643-7777-9

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The Maximum PrinciplePucci, P. / Serrin, J.

PNLDE – Progress in Nonlinear Differential Equations and Their Applications, Vol. 73


Holomorphic Functions in the Plane and n-dimensional SpaceGürlebeck, K. / Habetha, K. / Sprößig, W.

“The present book is very well and enthusiastically written and in many details marvellously elaborated. This is in particular the case for the typographically exposed historical remarks including photos of some of the main initiators of the number systems etc. involved. … This book is recommended as a text book for basic courses in complex analysis and also for self studies.” — Review of the German edition, Zentralblatt Math

2008. XIII, 394 p. With CD-ROM. SoftcoverEUR 34.90 / USD 49.95 / CHF 59.90 ISBN 978-3-7643-8271-1

Algebraic Multiplicity of Eigenvalues of Linear OperatorsLópez-Gómez, J. / Mora-Corral, C.


2007. XXII, 310 p. HardcoverEUR 99.– / USD 139.– / CHF 169.– ISBN 978-3-7643-8400-5

Polynomial ConvexityStout, E.L.


“The style is rigorous, elegant and clear, the exposition is beautiful. The book is an extremely important tool to every researcher interested in the subject, as it contains basic facts and therefore will remain a standard

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Tata Lectures on Theta III Mumford, D.


1st ed. 1991. 2nd printing 2007. VIII, 202 p. 2 illus. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4570-0

Tata Lectures on Theta II Jacobian theta functions and differential equations Mumford, D.


Reprint of the 1984 ed. 2007. XIV, 272 p. 21 illus. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4569-4

Tata Lectures on Theta I Mumford, D.


Reprint of the 1983 ed. 2007. XIII, 235 p. 7 illus. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4572-4

Complex Variables with ApplicationsPonnusamy, S. / Silverman, H.

“A good point of the book is the selections of questions and exercises at the end of each section. They are very carefully selected and will help students with reading comprehension and with application of the material of the current section. Most of the time the exercises progress nicely from simple applications of concepts to problems that will expand the student’s horizons.” —MAA Reviews

2006. XIII, 513 p. 109 illus. HardcoverEUR 49.95 / USD 69.95 / CHF 77.50 ISBN 978-0-8176-4457-4


Lectures on complex analysis and analytic geometryDella Sala, G. / Saracco, A. / Simioniuc, A. / Tomassini, G.


2006. XIX, 430 p. SoftcoverEUR 25.– / USD 34.95 / CHF 40.– ISBN 978-88-7642-199-0

Maps into manifolds and currents: area and W1,2-, W1/2-, BV-energiesGiaquinta, M. / Mucci, D.


2006. XXII, 391 p. SoftcoverEUR 24.– / USD 34.95 / CHF 39.– ISBN 978-88-7642-200-3

Geometric Function Theory Explorations in Complex Analysis Krantz, S.G.


“The geometric point of view is the unifying theme in this fine textbook in complex function theory. But the author also studies byways that come from analysis and algebra … Altogether, the author treats advanced topics that lead the reader to modern areas of research. And what is important, the topics are presented with an explanation of their interaction with other important parts of mathematics. The presentations of the topics are clear and the text makes [for] very good reading; basic ideas of many concepts and proofs are carefully described, non-formal introductions to each chapter are very helpful, a rich collection of exercises is well composed and helps the student to understand the subject. The book under review leads the student to see what complex function theory has to offer and thereby

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on theory of function spaces … but at the same time it is quite self-contained … The book is … extremely well-written, and reader-friendly, and it contains an enormous amount of deep and interesting material. It is strongly recommended to anybody interested in function spaces or in any of the related areas.” — Mathematical Reviews


C*-algebras and Elliptic TheoryBojarski, B. / Mishchenko, A.S. / Troitsky, E.V. / Weber, A. (Eds)



The Functional Calculus for Sectorial OperatorsHaase, M.


2006. XIV, 392 p. 8 illus. HardcoverEUR 79.95 / USD 109.– / CHF 129.– ISBN 978-3-7643-7697-0

On the Topology of Isolated Singularities in Analytic SpacesSeade, J.



Indefinite Linear Algebra and ApplicationsGohberg, I. / Lancaster, P. / Rodman, L.

“This is a splendidly written book, one of a number by three of the world’s leading linear algebraists, that collects many results on

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gives him or her a taste of some of the areas of current research. As such it is a welcome addition to the existing literature in complex function theory … In this reviewer’s opinion, the book can warmly be recommended both to experts and to a new generation of mathematicians.” — Zentralblatt Math


A Geometric Approach to Differential FormsBachman, D.

“Students! Read this book if you want to get acquainted with differential forms! This is a kind of unusual book, which is really nice to read for a beginner … a lot of examples and numerous meaningful ‘experiments’ to get the real meaning behind the scenes, that otherwise should be digged from formal proofs. … I recommend the book not only for students, but also for teachers!” — Acta Scientiarum Mathematicarum

2006. XVI, 133 p. 39 illus. SoftcoverEUR 39.95 / USD 54.95 / CHF 62.– ISBN 978-0-8176-4499-4

Infinite Matrices and their Finite Sections An Introduction to the Limit Operator Method Lindner, M.


2006. XV, 191 p. 12 illus. SoftcoverEUR 39.95 / USD 59.95 / CHF 64.90 ISBN 978-3-7643-7766-3

Theory of Function Spaces IIITriebel, H.

MMA – Monographs in Mathematics, Vol. 100

“This book can be considered the third volume in an impressive series of books

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indefinite linear algebra from the literature and puts them all in a single place. The book is based in part on a 1983 book titled Matrices and Indefinite Scalar Products by the same authors and publisher but includes many contemporary results from the journal literature and elsewhere. In fact, the ends of many of the chapters provide a guide to sources where further materials are to be found. There are some excellent exercises collected at the end of each chapter making the book ideal as a graduate-level textbook.” — SIAM Review


Extremum Problems for Eigenvalues of Elliptic OperatorsHenrot, A.


“The book is a good collection of extremal problems for eigenvalues of elliptic operators and it gives a good account of the present state of research. It presents 30 open problems and is an absolutely necessary starting point for research work in this field. All proofs are strictly rigorous and the author refers for some other proofs to the bibliography, which contains 215 references. The material is interesting for specialists in both pure and applied mathematics, and can also be used in students’ work.” — Mathematical Reviews

2006. X, 202 p. SoftcoverEUR 38.– / USD 59.95 / CHF 62.– ISBN 978-3-7643-7705-2

Shift-invariant Uniform Algebras on GroupsGrigoryan, S.A. / Tonev, T.V.


“… this book will be useful for a wide range of analysts: the first chapters introduce basic tools of classical analysis (harmonic


functions, almost periodic functions), of uniform algebras, of abstract harmonic analysis, and will be useful for beginning graduate students; the more advanced parts will interest research mathematicians and graduate students.” — Zentralblatt Math


Introduction to Complex Analysis in Several VariablesScheidemann, V.

“This is a book written with the student in mind: it offers a concise treatment of complex analysis in several variables, by focusing on special topics rather than trying to be a comprehensive treatment of the subject. … The main importance of this book is the fact that it fills a void: there are relatively few books on several complex variables. Any (graduate) student beginning work in this area and any instructor considering teaching a course in several complex variables should definitely take a look at Professor Scheidemann’s work.” — MAA Reviews


Nonlinear Smoothing and Multiresolution AnalysisRohwer, C.

ISNM – International Series of Numerical Mathematics, Vol. 150


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Ramsey Methods in AnalysisArgyros, S.A. / Todorcevic, S.


“The book is carefully written with clear exposition of the material. It can be studied by graduate students who had a first course in functional analysis and are interested in either functional analysis or Ramsey theory.” — Zentralblatt Math

2005. VI, 257 p. SoftcoverEUR 39.90 / USD 59.95 / CHF 65.– ISBN 978-3-7643-7264-4

Singular Sets of Minimizers for the Mumford-Shah FunctionalDavid, G.Winner of the Ferran Sunyer i Balaguer Prize 2004


“The book under review gives an excellent overview of a part of the work done in recent years on this problem … and the book is therefore a useful source for mathematicians working in this field.” — Mathematical Reviews


Approximation Theory From Taylor Polynomials to Wavelets Christensen, O. / Christensen, K.L.


“Approximation methods and wavelets have found many important applications in signal processing. This well-written textbook provides an elementary introduction to approximation theory. The authors

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Advanced Real Analysis Knapp, A.W.


“It is useful both as a course text and for self-study. One can see, that its content is near all areas of pure mathematics, as well as applied mathematics, including statistics, mathematical physics, and differential equations. I think that and this volume turns to be useful for any mathematical library and can be recommended to students and lecturers.” — Zentralblatt Math


Basic Real Analysis Knapp, A.W.


“The volume contains more than 300 problems and a separate section gives hints or complete solutions to them. The book seems to be completely unified, carefully reasoned, rich in concepts, methods and results, and indubitably useful as for students in Real Analysis so also for teachers in this field.” — Zentralblatt Math


Basic Real Analysis and Advanced Real Analysis SetKnapp, A.W.


2005. XLVIII, 1176 p. 16 illus. 2-volume-set. EUR 79.90 / USD 94.95 / CHF 109.50 ISBN 978-0-8176-4407-9

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concentrate on the presentation of main ideas and demonstrate the great influence of classical approximation theory on modern applied mathematics. This book, with many illustrative examples, is easy to read…[and] will be very useful for anyone interested in approximation theory and wavelets.” — Zentralblatt Math

1st ed. 2004., Corr. 2nd printing 2005, Corr. 3rd printing 2006 2006. XI, 165 p. 40 illus. SoftcoverEUR 29.95 / USD 34.95 / CHF 40.50 ISBN 978-0-8176-3600-5

A Topological Introduction to Nonlinear Analysis Brown, R.F.

“The book is highly recommended as a text for an introductory course in nonlinear analysis and bifurcation theory … reading is fluid and very pleasant … style is informal but far from being imprecise.” — Mathematical Reviews (Review of the first edition)

2nd ed. 2004. XI, 184 p. 35 illus. SoftcoverEUR 39.95 / USD 54.95 / CHF 62.– ISBN 978-0-8176-3258-8

Basic Classes of Linear OperatorsGohberg, I. / Goldberg, S. / Kaashoek, M.A.

“With a name like Gohberg–Goldberg–Kaashoek, it has got to be good. But let me count the ways. If you are interested in learning the basic theories of Hilbert and Banach spaces together with the well-known operators that act on them, this book is for you. It is intended for advanced undergraduate and beginning graduate students in mathematics … The volume is actually a second edition of Basic Operator Theory by Gohberg and Goldberg … Exercises and examples have been added … The text is well written, clear, and readable …” — SIAM Review

2003. XVII, 423 p. SoftcoverEUR 79.90 / USD 119.– / CHF 135.– ISBN 978-3-7643-6930-9


Global Riemannian Geometry: Curvature and TopologyMarkvorsen, S. / Min-Oo, M.



An Introduction to Frames and Riesz BasesChristensen, O.


2003. 464 p. 16 illus. HardcoverEUR 54.95 / USD 74.95 / CHF 85.50 ISBN 978-0-8176-4295-2

Mathematical Methods in Physics Distributions, Hilbert Space Operators, and Variational Methods Blanchard, P. / Bruening, E.


“...many very nice and useful examples and applications are provided.” — Monatshefte für Mathematik

2003. XXII, 471 p. 20 illus. HardcoverEUR 79.95 / USD 109.– / CHF 124.50 ISBN 978-0-8176-4228-0

The Implicit Function Theorem History, Theory, and Applications Krantz, S.G. / Parks, H.R.

“The authors offer a useful and fascinating manuscript which should be of interest and useful to graduate and postgraduate students, professional mathematicians, teachers as well as researchers. Most of them will be able to find all fundamental ideas in the field and simple and transparent

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2nd Edition

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Advanced Calculus A Differential Forms Approach Edwards, H.M.

“An inviting, unusual, high-level introduction to vector calculus, based solidly on differential forms. Superb exposition: informal but sophisticated, down-to-earth but general, geometrically and physically intuitive but mathematically rigorous, entertaining but serious. Remarkably diverse applications, physical and mathematical.” — The American Mathematical Monthly

1994. 528 p. HardcoverEUR 49.90 / USD 59.95 / CHF 89.90 ISBN 978-0-8176-3707-1

Morse HomologySchwarz, M.


“The proofs are written with great care, and Schwarz motivates all ideas with great skill … This is an excellent book.” — Bulletin of the AMS


Measure TheoryCohn, D.L.


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proofs of all main implicit function theorems and theorems closely related to these.” — Zentralblatt Math

2002. XI, 163 p. HardcoverEUR 54.95 / USD 74.95 / CHF 85.50 ISBN 978-0-8176-4285-3

Real AnalysisDiBenedetto, E.


2002. XXIV, 516 p. HardcoverEUR 69.90 / USD 109.– / CHF 119.– ISBN 978-0-8176-4231-0

The Navier-Stokes Equations An Elementary Functional Analytic Approach Sohr, H.


“The book is written in a well-arranged way, easy to survey and with utilization of the newest results … it is [written] for an extensive circle of readers, from students to experts … and specialists in the field.” — Zentralblatt Math

2001. HardcoverEUR 48.– / USD 74.95 / CHF 78.– ISBN 978-3-7643-6545-5

Analytic Semigroups and Optimal Regularity in Parabolic ProblemsLunardi, A.


1995. HardcoverEUR 139.– / USD 189.– / CHF 219.– ISBN 978-3-7643-5172-4

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Differential Equations / Dynamical Systems

Global Pseudo-differential Calculus on Euclidean SpacesBuzano, E., Università di Torino, Italia / Rodino, L., Università di Torino, Italia


Due in Winter 2009

The book presents a global pseudo-differential calculus in Euclidean spaces, which includes SG as well as Shubin classes and their natural generalizations containing Schroedinger operators with non-polynomial potentials. This calculus is applied to study global hypoellipticity for several pseudo-differential operators, spectral properties and complex powers of hypoelliptic operators, Schatten–von Neumann classes, the Connes–Wodzicki residue in Euclidean spaces, exponential decay of eigenfunctions, regularity and decay of homoclinics for semilinear equations, travelling waves.

The book is completely self-contained and accessible to graduate students.

2010. Approx. 350 p. SoftcoverApprox. EUR 49.95 / USD 69.95 / CHF 89.90 ISBN 978-3-7643-8511-8

Analysis, Partial Differential Equations and Applications The Vladimir Maz’ya Anniversary Volume Cialdea, A., University of Basilicata, Potenza, Italy / Lanzara, F., University of Rome La Sapienza, Italy / Ricci, P.E., University of Rome La Sapienza, Italy (Eds)


Due in October 2009

The volume contains most of the invited lectures presented at the International Conference Analysis, PDEs and Applications, held in Rome in July 2008, and dedicated to Vladimir G. Maz’ya on the occasion of his 70th birthday.

The authors present surveys as well as new results in the areas in which V. G. Maz’ya gave seminal contributions.


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Pseudo-Differential Operators and Symmetries Background Analysis and Advanced Topics Ruzhansky, M., Imperial College, London, UK / Turunen, V., Helsinki University of Technology, Finland

Due in August 2009


This monograph develops a global quantization theory of pseudo-differential operators on compact Lie groups.Traditionally, the theory of pseudo-differential operators was introduced in the Euclidean setting with the aim of tackling a number of important problems in analysis and in the theory of partial differential equations. This also yields a local theory of pseudo-differential operators on manifolds. The present book takes a different approach by using global symmetries of the space which are often available. First, a particular attention is paid to the theory of periodic operators, which are realized in the form of pseudo-differential and Fourier integral operators on the torus. Then, the cases of the unitary group SU(2) and the 3-sphere are analyzed in extensive detail. Finally, the monograph also develops elements of the theory of pseudo-differential operators on general compact Lie groups and homogeneous spaces.

2009. Approx. 650 p. SoftcoverApprox. EUR 59.95 / USD 79.95 / CHF 105.– ISBN 978-3-7643-8513-2

Global Propagation of Regular Nonlinear Hyperbolic WavesTatsien, L. / Libin, W.Fudan University, Shanghai, China


This monograph describes global propagation of regular nonlinear hyperbolic waves described by first-order quasilinear hyperbolic systems in one dimension. The exposition is clear, concise, and unfolds systematically, beginning with introductory material which leads to the original research of the authors. Using the concept of weak linear degeneracy and the method of (generalized) normalized coordinates, this book establishes a systematic theory for the global existence and blowup mechanism of regular nonlinear hyperbolic waves with small amplitude for the Cauchy problem, the Cauchy problem on a semi-bounded initial data, the one-sided mixed initial-boundary value problem, the generalized Riemann problem, the generalized nonlinear initial-boun dary Riemann problem, and some related inverse problems. Motivation is given via a number of physical examples from the areas of elastic materials, one-dimensional gas dynamics, and waves. Global Propagation of Regular Nonlinear Hyperbolic Waves will stimulate further research and help readers further understand important aspects and recent progress of regular nonlinear hyperbolic waves.

2009. X, 252 p. HardcoverApprox. EUR 69.30 / USD 89.95 / CHF 149.50 ISBN 978-0-8176-4244-0

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Optimal Control of Coupled Systems of Partial Differential EquationsKunisch, K., Universität Graz, Austria / Leugering, G., Universität Erlangen-Nürnberg, Germany / Sprekels, J., Humboldt-Universität Berlin, Germany / Tröltzsch, F., TU Berlin, Germany (Eds)


This volume contains selected contributions originating from the ‘Conference on Optimal Control of Coupled Systems of Partial Differential Equations’, held at the ‘Mathematisches Forschungsinstitut Oberwolfach’ in March 2008.

With their articles, leading scientists cover a broad range of topics such as controllability, feedback-control, optimality systems, model-reduction techniques, analysis and optimal control of flow problems, and fluid-structure interactions, as well as problems of shape and topology optimization. Applications affected by these findings are distributed over all time and length scales starting with optimization and control of quantum mechanical systems, the design of piezoelectric acoustic micro-mechanical devices, or optimal control of crystal growth to the control of bodies immersed into a fluid, airfoil design, and much more.


See also page 69.

The Center and Cyclicity Problems A Computational Algebra Approach Romanovski, V.G., University of Maribor, Slovenia / Shafer, D.S., University of North Carolina at Charlotte, NC, USA

In the last three decades, advances in methods for investigating polynomial ideals and their varieties have provided new possibilities for approaching two long-standing problems in the theory of differential equations: the Poincaré center problem and the cyclicity problem (the problem of bifurcation of limit cycles from singular trajectories).

Using a computational algebra approach, this work addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. The text first lays the groundwork for computational algebra and gives the main properties of ideals in polynomial rings and their affine varieties; this is followed by a discussion regarding the theory of normal forms and stability of differential equations. The center and cyclicity problems are then explored in detail.

The book contains numerous examples, pseudocode displays of all the computational algorithms, historical notes, nearly two hundred exercises, and an extensive bibliography. Completely self-contained, it is thus suitable mainly as a textbook for a graduate course in the subject but also as a reference for researchers.


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Applied Pseudoanalytic Function TheoryKravchenko, V.V., CINVESTAV, Querétaro, Mexico


Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients which turns out to be closely related to important equations of mathematical physics. This relation supplies powerful tools for studying and solving Schrödinger, Dirac, Maxwell, Klein-Gordon and other equations with the aid of complex-analytic methods.

The book is dedicated to these recent developments in pseudoanalytic function theory and their applications as well as to multidimensional generalizations.

It is directed to undergraduates, graduate students and researchers interested in complex-analytic methods, solution techniques for equations of mathematical physics, partial and ordinary differential equations.


Introduction to Stochastic Analysis and Malliavin Calculus Da Prato, G., Scuola Normale Superiore, Pisa, Italia


This volume presents an introductory course on differential stochastic equations and Malliavin calculus.

The material of the book has grown from a series of courses delivered at the Scuola Normale Superiore di Pisa (and also at the Trento and Funchal Universities) and has been refined over several years of teaching experience in the subject. The lectures are addressed to a reader who is familiar with basic notions of measure theory and functional analysis. The first part is devoted to the Gaussian measure in a separable Hilbert space, the Malliavin derivative, the construction of the Brownian motion and Itô’s formula. The second part deals with the differential stochastic equations and their connection with parabolic problems. The third part contains an introduction to the Malliavin calculus. Several applications are given, notably the Feynman-Kac, Girsanov and Clark-Ocone formulae, the Krylov-Bogoliubov and Von Neumann theorems.

2nd ed. 2008. XVI, 211 p. SoftcoverEUR 24.– / USD 39.95 / CHF 39.– ISBN 978-88-7642-337-6

See also page 71

Second Edition

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Singular Limits in Thermodynamics of Viscous FluidsFeireisl, E., ASCR Praha, Prag, Czech Republic / Novotný, A., Université de Toulon ANLA, La Garde, France

AMFM – Advances in Mathematical Fluid Mechanics

Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton’s rheological law for the viscous stress and Fourier’s law of heat conduction for the internal energy flux.

As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids.

2009. XXXVI, 382 p. HardcoverEUR 79.90 / USD 109.– / CHF 139.– ISBN 978-3-7643-8842-3

Elliptic Equations: An Introductory CourseChipot, M., University of Zurich, Switzerland


The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and refinements. Apart from the basic theory of equations in divergence form it includes subjects such as singular perturbation problems, homogenization, computations, asymptotic behaviour of problems in cylinders, elliptic systems, nonlinear problems, regularity theory, Navier-Stokes system, p-Laplace equation. Just a minimum on Sobolev spaces has been introduced, and work or integration on the boundary has been carefully avoided to keep the reader’s attention on the beauty and variety of these issues.

The chapters are relatively independent of each other and can be read or taught separately. Numerous results presented here are original and have not been published elsewhere. The book will be of interest to graduate students and faculty members specializing in partial differential equations.


See also page 72

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Kolmogorov Operators in Spaces of Continuous Functions and Equations for MeasuresManca, L., INRIA, OPALE, Sophia Antipolis, France


The book is devoted to study the relationships between Stochastic Partial Differential Equations and the associated Kolmogorov operator in spaces of continuous functions.

In the first part, the theory of a weak convergence of functions is developed in order to give general results about Markov semigroups and their generator.

In the second part, concrete models of Markov semigroups deriving from Stochastic PDEs are studied. In particular, Ornstein-Uhlenbeck, reaction-diffusion and Burgers equations have been considered. For each case the transition semigroup and its infinitesimal generator have been investigated in a suitable space of continuous functions.

The main results show that the set of exponential functions provides a core for the Kolmogorov operator. As a consequence, the uniqueness of the Kolmogorov equation for measures has been proved.


Integrable Systems in Celestial MechanicsÓ Mathúna, D., Dublin Institute for Advanced Studies, Dublin, Ireland


This work presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, and the Vinti (Earth-satellite) problems. The analysis of these problems is shown to follow a definite shared pattern yielding exact forms for the solutions and the work highlights shared features in the unified treatment of the three problems. The work will be of interest to graduate students in mathematics and physics (including physical chemistry) and researchers concerned with the general areas of dynamical systems, statistical mechanics, and mathematical physics and has direct application to celestial mechanics, astronomy, orbital mechanics, and aerospace engineering.

2008. X, 234 p. 24 illus. HardcoverEUR 69.90 / USD 89.95 / CHF 125.– ISBN 978-0-8176-4096-5

Nonlinear Parabolic-Hyperbolic Coupled Systems and Their AttractorsQin, Y., Donghua University, Shanghai, China


This book presents recent results concerning the global existence in time, the large-time behaviour, decays of solutions and the existence of global attractors for some nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations arising from physics, mechanics and material science, such as the compressible Navier-Stokes equations,

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thermo(visco)elastic systems and elastic systems. To keep the book as self-contained as possible, the first chapter introduces to the needed results and tools from functional analysis, Sobolev spaces, differential and integral inequalities in analysis, and the theory of semigroups of linear operators and of global attractors.

2008. XV, 465 p. HardcoverEUR 129.– / USD 179.– / CHF 229.– ISBN 978-3-7643-8813-3

Dimension and Recurrence in Hyperbolic DynamicsBarreira, L., Universidade Tecnica Lisboa, Portugal



The main objective of this book is to give a broad unified introduction to the study of dimension and recurrence in hyperbolic dynamics. It includes the discussion of the foundations, main results, and main techniques in the rich interplay of four main areas of research: hyperbolic dynamics, dimension theory, multifractal analysis, and quantitative recurrence. It also gives a panorama of several selected topics of current research interest. All the results are included with detailed proofs, many of them simplified or rewritten on purpose for the book. The text is self-contained.


Para-Differential Calculus and Applications to the Cauchy Problem for Nonlinear SystemsMétivier, G., Université Bordeaux 1, France


The main aim is to present at the level of beginners several modern tools of micro-

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local analysis which are useful for the mathematical study of nonlinear partial differential equations. The core of these notes is devoted to a presentation of the para-differential techniques, which combine a linearization procedure for nonlinear equations, and a symbolic calculus which mimics or extends the classical calculus of Fourier multipliers. These methods apply to many problems in nonlinear PDE’s such as elliptic equations, propagation of singularities, boundary value problems, shocks or boundary layers. However, in these introductory notes, we have chosen to illustrate the theory on two selected and relatively simple examples, which allow becoming familiar with the techniques. They concern the well posed-ness of the Cauchy problem for systems of nonlinear PDE’s, firstly hyperbolic systems and secondly coupled systems of Schrödinger equations which arise in various models of wave propagation.

2008. XI, 140 p. SoftcoverEUR 23.– / USD 34.95 / CHF 38.– ISBN 978-88-7642-329-1

Selfdual Gauge Field Vortices An Analytical Approach Tarantello, G., Università di Roma “Tor Vergata”, Italy


In modern theoretical physics, gauge field theories are of great importance since they keep internal symmetries and account for phenomena such as spontaneous symmetry breaking, the quantum Hall effect, charge fractionalization, superconductivity and supergravity. This monograph discusses specific examples of selfdual gauge field structures, including the Chern–Simons model, the abelian–Higgs model, and Yang–Mills gauge field theory.The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of

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gauge theory and formulating examples of Chern–Simons–Higgs theories (in both abelian and non-abelian settings). Thereafter, the electroweak theory and self-gravitating electroweak strings are examined. The final chapters treat elliptic problems involving Chern–Simmons models, concentration-compactness principles, and Maxwell–Chern–Simons vortices. Many open questions still remain in the field and are examined in this work in connection with Liouville-type equations and systems. The goal of this text is to form an understanding of selfdual solutions arising in a variety of physical contexts and thus is ideal for graduate students and researchers interested in partial differential equations and mathematical physics.


Differential Equations, Chaos and Variational ProblemsStaicu, V. (Ed.)


2008. XIII, 435 p. HardcoverEUR 149.– / USD 209.– / CHF 259.– ISBN 978-3-7643-8481-4

Functional Analysis and Evolution Equations The Günter Lumer Volume Amann, H. / Arendt, W. / Hieber, M. / Neubrander, F. / Nicaise, S. / von Below, J. (Eds)


An Invitation to Variational Methods in Differential EquationsCosta, D.G.

“This little book consists of a very clear

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introduction to variational methods and their applications to ODEs and PDEs. … the bibliography contains basic items on the subject and also turns out to be very useful for further reading. In my opinion the book should be strongly recommended to anyone – graduate student or researcher – who is interested in variational methods and their applications to differential equations.” — Mathematical Reviews

2007. XII, 138 p. 9 illus. SoftcoverEUR 39.95 / USD 54.95 / CHF 62.– ISBN 978-0-8176-4535-9

Nonlinear Oscillations of Hamiltonian PDEsBerti, M.


“After discussing important problems and introducing general techniques for Hamiltonian PDEs, the book under review focuses on the nonlinear wave equation. The point of view the author takes is a dynamical system perspective, giving the maximal priority to the search for invariant objects. … Some nice remarks and useful tools … are collected in the appendices. This monograph is written with high rigor and good taste and it may conveniently win the attention of both advanced researchers and graduate students.” — Mathematical Reviews


Spectral Theory of Infinite-Area Hyperbolic SurfacesBorthwick, D.


“The core of the book under review is devoted to the detailed description of the Guillopé-Zworski papers … The exposition is very clear and thorough, and essentially self-contained; the proofs are detailed …

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The book gathers together some material which is not always easily available in the literature … To conclude, the book is certainly at a level accessible to graduate students and researchers from a rather large range of fields. Clearly, the reader … would certainly benefit greatly from it.” — Mathematical Reviews


Superlinear Parabolic Problems Blow-up, Global Existence and Steady States Quittner, P. / Souplet, P.


2007. XI, 584 p. HardcoverEUR 69.90 / USD 99.– / CHF 119.– ISBN 978-3-7643-8441-8

Limit Cycles of Differential EquationsChristopher, C. / Li, C.


2007. VIII, 171 p. 12 illus. SoftcoverEUR 29.90 / USD 39.95 / CHF 49.90 ISBN 978-3-7643-8409-8

Vortices in the Magnetic Ginzburg-Landau ModelSandier, E. / Serfaty, S.


“This book deals with the mathematical study of the two-dimensional Ginzburg-Landau model with magnetic field. … All parts of this interesting book are clearly and rigorously written. A consistent bibliography is given and several open problems are

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detailed. This work has to be recommended.” — Zentralblatt MATH

2007. XII, 322 p. 13 illus. HardcoverEUR 98.– / USD 129.– / CHF 148.50 ISBN 978-0-8176-4316-4

Linear Partial Differential Equations for Scientists and Engineers Myint-U, T. / Debnath, L.

4th ed. 2007. XXII, 778 p. 79 illus. HardcoverEUR 78.– / USD 89.95 / CHF 103.50 ISBN 978-0-8176-4393-5

Singularly Perturbed Boundary-Value ProblemsBarbu, L. / Morosanu, G.


2007. XIII, 230 p. HardcoverEUR 89.90 / USD 119.– / CHF 149.– ISBN 978-3-7643-8330-5

Control of Coupled Partial Differential EquationsKunisch, K. / Leugering, G. / Sprekels, J. / Tröltzsch, F. (Eds)


2007. VI, 382 p. 54 illus. HardcoverEUR 99.– / USD 129.– / CHF 158.– ISBN 978-3-7643-7720-5

Analysis and Simulation of Fluid DynamicsCalgaro, C. / Coulombel, J.-F. / Goudon, T. (Eds)


2007. VIII, 246 p. 55 illus. HardcoverEUR 69.90 / USD 89.95 / CHF 119.– ISBN 978-3-7643-7741-0

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Conformal and Potential Analysis in Hele-Shaw CellsGustafsson, B. / Vasiliev, A.


2006. X, 231 p. 34 illus. HardcoverEUR 59.95 / USD 89.95 / CHF 93.50 ISBN 978-3-7643-7703-8

Slow Rarefied Flows Theory and Application to Micro-Electro-Mechanical Systems Cercignani, C.


2006. XI, 166 p. HardcoverEUR 59.95 / USD 79.95 / CHF 99.– ISBN 978-3-7643-7534-8

Surface Evolution Equations A Level Set Approach Giga, Y.


“In view of its detailed and thorough presentation this book will be a valuable source for everyone interested in the level set approach to surface evolution equations.” — Zentralblatt Math


An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphsGiaquinta, M. / Martinazzi, L.


2005. XI, 302 p. SoftcoverEUR 24.– / USD 34.95 / CHF 39.– ISBN 978-88-7642-168-6

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Nonlinear Partial Differential Equations with ApplicationsRoubicek, T.


“The book under review is mainly devoted to the study of both steady-state (Part I) and evolution (Part II) boundary value problems … The organization of the material is well done, and the presentation … is clear, elegant and rigorous. … In conclusion, primarily addressed to graduate and Ph.D. students and researchers … this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists …” — Mathematical Reviews

2005. XVIII, 405 p. HardcoverEUR 109.– / USD 169.– / CHF 179.– ISBN 978-3-7643-7293-4

Nonlinear Partial Differential Equations for Scientists and Engineers Debnath, L.

“Nonlinear partial differential equations is an old and vast area of research. There is a big and well-developed theory as well as a huge variety of applications. It seems to be impossible to embrace this subject in a single monograph. The book of Lokenath Debnath is a quite successful attempt. It is a second edition of the book, considerably extended and revised. The author is trying to balance the deep and rigorous theory and a variety of approaches and often seminal examples. To examples, he gives the leading, more than just an illustrative, role … The book could serve as a good selection of choices for a kernel of a graduate or even undergraduate module in Applied Mathematics or Engineering Sciences. For more fundamental courses the book is also useful, since it contains a lot of motivations and well

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2nd Edition

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elaborated exercises … Overall, it is a useful book for teaching, a rich source of examples, and I am happy to have it on a shelf of my library.” — UK Nonlinear News

2nd ed. 2005. XXII, 737 p. 77 illus. HardcoverEUR 69.90 / USD 89.95 / CHF 119.– ISBN 978-0-8176-4323-2

Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws and Well-Balanced Schemes for Sources Bouchut, F.


“This is a very interesting and useful book which provides a systematic presentation of the theory of finite volume methods and numerical simulations for hyperbolic systems of conservation laws. The author provides a unified approach and notation to the study of nonlinear stability of finite volume methods for hyperbolic systems of conservation laws as the accent is put on the development of tools and design of schemes. The exposition of the book is very clear. It will be a very useful tool for the researchers in this field as well as for engineers.” —Zentralblatt Math


Kolmogorov Equations for Stochastic PDEsDa Prato, G.


“Many of the results presented here are appearing in book form for the first time. … The writing style is clear. Needless to say, the level of mathematics is high and will no doubt tax the average mathematics and physics graduate student. For the devoted student, however, this book offers an excellent basis

for a 1-year course on the subject. It is definitely recommended.” — JASA Reviews


The Symmetry Perspective From Equilibrium to Chaos in Phase Space and Physical Space Golubitsky, M. / Stewart, I.


“... I am sure that [this book] will be a very useful resource not only for researchers in this area but also for those who want to obtain the benefits of using this approach in applications.” — Bulletin of the American Mathematical Society

2002. XVII, 325 p. HardcoverPM – Progress in Mathematics, Vol. 200 EUR 79.95 / USD 109.95 / CHF 129.– ISBN 978-3-7643-6609-4

2003. XVII, 325 p. SoftcoverEUR 44.90 / USD 59.95 / CHF 75.– ISBN 978-3-7643-2171-0

Adaptive Finite Element Methods for Differential EquationsBangerth, W. / Rannacher, R.


“Most graduate students in engineering and physical sciences should be able to handle the material without excessive difficulty. The presentation is very much a tutorial approach promoting a hands-on experience, reinforced with practical exercises at the end of each chapter, aimed towards practitioners … [The] present book provides a gentler introduction for the beginning graduate student or nonspecialist practitioner.” — SIAM Review


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Hyperbolic Systems of Conservation Laws The Theory of Classical and Nonclassical Shock Waves LeFloch, P.G.



Elements of Nonlinear AnalysisChipot, M.


2000. VII, 256 p. HardcoverEUR 49.95 / USD 69.95 / CHF 79.90 ISBN 978-3-7643-6406-9

Introduction to Partial Differential Equations with MATLAB Cooper, J.M.


1st ed. 1998. Corr. 2nd printing 2000. 550 p. 50 illus. HardcoverEUR 54.95 / USD 69.95 / CHF 80.50 ISBN 978-0-8176-3967-9

Ergodic Theory and Semisimple GroupsZimmer, R.J.



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Systems and Control

Observation and Control for Operator SemigroupsTucsnak, M., Université Nancy, France / Weiss, G., Tel Aviv University, Israel


This book studies observation and control operators for linear systems where the free evolution of the state can be described by an operator semigroup on a Hilbert space. The emphasis is on well-posedness, observability and controllability properties. The abstract results are supported by a large number of examples coming mostly from partial differential equations. These examples are worked out in detail. This book is meant to be an elementary introduction in this theory. The first meaning of “elementary” is that the text is aimed to be accessible to any reader familiar with linear algebra, calculus, the basics of Hilbert spaces and differential equations. We introduce everything needed on operator semigroups and most of the background used is summarized in the Appendices, often with proofs. The second meaning of “elementary” is that we only cover results for which we can provide complete proofs. In our bibliographic comments we mention some of the more advanced results, for example those based on microlocal analysis.

2009. XI, 483 p. HardcoverEUR 59.90 / USD 89.95 / CHF 105.– ISBN 978-3-7643-8993-2

Delay Compensation for Nonlinear, Adaptive, and PDE SystemsKrstic, M., University of California, La Jolla, CA, USA

SC – Systems & Control: Foundations & Applications

Some of the most common dynamic phenomena that arise in engineering practice, actuator and sensor delays, fall outside the scope of the standard finite-dimensional system. The first attempt at infinite-dimensional feedback design in the field of control systems – the Smith predictor – has remained limited to linear finite-dimensional plants over the last five decades. Shedding light on new opportunities in predictor feedback, this book significantly broadens the set of techniques available to a mathematician or engineer working on delay systems.

The book is collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, systems with highly uncertain or completely unknown input/output delays, and systems whose actuator or sensor dynamics are modeled by more general hyperbolic or parabolic PDEs, rather than by pure delay. Numerous examples and a detailed treatment of individual classes of problems will help the reader master the techniques.

2009. Approx. 475 p. 25 illus. HardcoverApprox. EUR 69.90 / USD 89.95 / CHF 125.– ISBN 978-0-8176-4876-3

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Delay Compensation for Nonlinear, Adaptive, and PDE Systems

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Systems and Control

Set-Valued Analysis Aubin, J.-P. / Frankowska, H.Université de Paris-Dauphine and CNRS, Paris, France


1st ed. 1990. 2nd printing 2009. XIX, 461 p. 11 illus. SoftcoverEUR 39.90 / USD 49.95 / CHF 69.90 ISBN 978-0-8176-4847-3

Advances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics A Tribute to Michael K. Sain Won, C.-H., Temple University, Philadelphia, PA, USA / Schrader, C.B., Boise State University, Boise, ID, USA / Michel, A.N., University of Notre Dame, IN, USA (Eds)


This volume – dedicated to Michael K. Sain on the occasion of his seventieth birthday – is a collection of chapters covering recent advances in stochastic optimal control theory and algebraic systems theory. Written by experts in their respective fields, the chapters are thematically organized into four parts: statistical control theory, algebraic systems theory, dynamical systems characteristics, and engineering education.The book will be a useful reference for researchers and graduate students in systems and control, algebraic systems theory, and applied mathematics. Requiring only knowledge of undergraduate-level control and systems theory, the work may be used as a supplementary textbook in a graduate course on optimal control or algebraic systems theory.

2008. XVIII, 360 p. 59 illus. HardcoverEUR 79.90 / USD 99.– / CHF 139.– ISBN 978-0-8176-4794-0

Numerical Methods for Controlled Stochastic Delay SystemsKushner, H.J., Brown University, Providence, RI, USA


The Markov chain approximation methods are widely used for the numerical solution of nonlinear stochastic control problems in continuous time. This book extends the methods to stochastic systems with delays. Because such problems are infinite-dimensional, many new issues arise in getting good numerical approximations and in the convergence proofs. Useful forms of numerical algorithms and system approximations are developed in this work, and the convergence proofs are given. All of the usual cost functions are treated as well as singular and impulsive controls. A major concern is on representations and approximations that use minimal memory. Featuring numerical algorithms and examples with applications to control and modern communications systems, this book is the first on the subject and will be of great interest to all those who work with stochastic delay equations and whose main interest is in either the use of the algorithms or in the underlying mathematics.

2008. XX, 282 p. 37 illus. HardcoverEUR 54.90 / USD 69.95 / CHF 95.– ISBN 978-0-8176-4534-2

Set-Theoretic Methods in ControlBlanchini, F. / Miani, S.


“The book is an outstanding monograph of a recent research trend in control. It reflects the vast experience of the authors as well as their noticeable contributions to the development of this field … At the conceptual

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level, the book was meant as a self contained volume for readers with the usual background in systems and control. The text is very accessible (the style is attractive; the theoretical concepts and results are accompanied by relevant examples so as to facilitate the deep understanding of the discussed topics; both analytical and numerical approaches are presented; the final section of each chapter includes exercises). The book is highly recommended to PhD students and researchers working in control engineering or applied mathematics. The material can also be used for graduate courses in these areas.” — Zentralblatt Math


H-Infinity Optimal Control and Related Minimax Design Problems A Dynamic Game Approach Basar, T. / Bernhard, P.


2nd ed 1995. 2nd printing 2008. XIV, 412 p. 7 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4756-8

Stability of Dynamical Systems Continuous, Discontinuous, and Discrete Systems Michel, A.N. / Hou, L. / Liu, D.


“The book under review provides a single comprehensive source for the materials and results on stability analysis of all the dynamical systems … contains numerous problems and suggestions for further study at the end of the main chapters. This book will be an excellent source of material for

beginning graduate students studying the stability theory of dynamical systems and for self study by researchers and practitioners interested in systems theory of engineering, computer science, chemistry, life sciences and economics.” — Mathematical Reviews


Robust Nonlinear Control Design State-Space and Lyapunov Techniques Freeman, R.A. / Kokotovic, P.V.


1st ed. 1996. 2nd printing 2008. XIV, 258 p. 28 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4758-2

Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations Bardi, M. / Capuzzo-Dolcetta, I


1st ed. 1997. 2nd printing 2008. XX, 570 p. 17 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4754-4

Control of Turbulent and Magnetohydrodynamic Channel Flows Boundary Stabilization and State Estimation Vazquez, R. / Krstic, M.



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Systems and Control

Mathematical Control Theory An Introduction Zabczyk, J.


1st ed. 1992. 2nd, corr. printing 1995. Reprint 2008. XII, 260 p. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4732-2

Representation and Control of Infinite Dimensional Systems Bensoussan, A. / Da Prato, G. / Delfour, M.C. / Mitter, S.K.


2nd ed. 2007. XXVI, 575 p. 5 illus. HardcoverEUR 69.90 / USD 89.95 / CHF 119.– ISBN 978-0-8176-4461-1

The Mathematics of Internet Congestion ControlSrikant, R.


“This first book on the mathematics of congestion control [is] very useful for both students and researchers, but also for system engineers developing new Internet protocols. This is an elementary book for graduate students that uses a rich pallet of mathematical tools: convex optimization and control theory (Lyapunov stability and Nyquist criteria and stochastic processes). The tools are summarized well in appendices which makes the book self-contained and easy to read. The book is very well written and will undoubtedly remain a major reference on the topic for years to come.” — Mathematical Reviews

2004. XII, 164 p. 19 illus. HardcoverEUR 49.90 / USD 59.95 / CHF 89.90 ISBN 978-0-8176-3227-4

Switching in Systems and ControlLiberzon, D.


“This book is a well-structured and clearly written text addressing pertinent issues on stability and control for switched systems. These are regarded as a collection of individual dynamic systems, which are selected to drive the state according to a switching policy. … The book also includes two appendices succinctly covering some basic facts on stability and Lie algebras. Interesting notes and additional references complementing the main text on a chapter-by-chapter basis are also included. The book serves well the purpose stated by the author of supporting research and advanced graduate courses on switched systems and control.” — Mathematical Reviews


Optimal Control An Introduction Locatelli, A.

“The style of the book reflects the author’s wish to assist in the effective learning of optimal control by suitable choice of topics, the mathematical level used, and by including numerous illustrated examples. The book has been written for undergraduate and postgraduate students who already know control theory, basic linear systems and possess a background in calculus … In my view the book suits its function and purpose, in that it gives a student a comprehensive coverage of optimal control in an easy-to-read fashion.” — Measurement and Control

2001. VIII, 294 p. HardcoverEUR 45.– / USD 69.95 / CHF 72.– ISBN 978-3-7643-6408-3

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Probability and Statistics

Advances in Data Analysis Theory and Applications to Reliability and Inference, Data Mining, Bioinformatics, Lifetime Data, and Neural Networks Skiadas, C.H., Technical University of Crete, Chania, Crete, Greece (Ed.)

SIT – Statistics for Industry and Technology

Due in October 2009

An outgrowth of the 12th International Conference on Applied Stochastic Models and Data Analysis, this book is a collection of invited chapters presenting recent developments in the field of data analysis, with applications to economics and production, credit risk assessment, lifetime data analysis, risk models, supervised prediction with neural networks, and support models.

The chapters emphasize new results with potential for solving real-world problems in various areas, including reliability and inference, data mining, multi-way data, analysis of textual data, bioinformatics, information theory, and statistical applications.

Advances in Data Analysis is a useful reference for graduate students, researchers, and practitioners in statistics, mathematics, engineering, economics, social science, bioengineering, and bioscience.

2009. Approx. 385 p. 68 illus. HardcoverApprox. EUR 79.95 / USD 99.– / CHF 139.– ISBN 978-0-8176-4798-8

Fractal Geometry and Stochastics IVBandt, C., University of Greifswald, Germany / Mörters, P., University of Bath, UK / Zähle, M., University of Jena, Germany (Eds)

PP – Progress in Probability, Vol. 61


Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry, analysis and stochastics has highly influenced recent developments in mathematical modeling of complicated structures. This process has been forced by problems in these areas related to applications in statistical physics, biomathematics and finance.

This book is a collection of survey articles covering many of the most recent developments, like Schramm – Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals. The authors were the keynote speakers at the conference “Fractal Geometry and Stochastics IV” at Greifswald in September 2008.


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Spin Glasses: Statics and Dynamics Summer School, Paris 2007 Boutet de Monvel, A., Université Paris VII, France / Bovier, A., WIAS, Berlin, Germany (Eds)


Due in August 2009

This book contains a collection of texts ranging from a basic introduction to the mathematical theory of spin glasses to state-of-the-art reports on current research, written by leading experts in the field. It provides a unique single reference volume that will guide the novice into the field and present an overview of recent result to the experts. The subject matter covers mean field theory of spin glasses, short range spin glasses as well as other models of statistical mechanics in random media, such as polymers in disordered potentials. Besides equilibrium statistical mechanics, nonequilibrium properties such as ageing are addressed. The focus of the book is on mathematically rigorous aspects of these topics.

The book is intended for graduate students and researchers.


Scan Statistics Methods and Applications Glaz, J., University of Connecticut, Storrs, CT, USA / Pozdnyakov, V., University of Connecticut, Storrs, CT, USA / Wallenstein, S., Mount Sinai School of Medicine, New York, NY, USA (Eds)


Filling a gap in the literature, this self-contained volume brings together a collection of selected chapters illustrating the depth and diversity of theory, methods and applications in the area of scan statistics. The chapters are written by leading experts in the field of scan statistics. Key features include many current results and new directions for future research; challenging theoretical methodological research problems; presentation accessible to both statisticians and scientists from other disciplines where scan statistics are employed; emphasis on real-world applications to areas such as bioinformatics and biosurveillance; and extensive references to research articles, books, and relevant computer software.Scan Statistics is an excellent reference for graduate students and researchers in applied probability and statistics, as well as for scientists in biology, computer science, pharmaceutical science, medicine, geography, quality control, communications, and epidemiology. The work may also be used as a textbook for a graduate-level seminar on scan statistics.

2009. XXVIII, 394 p. 40 illus. HardcoverEUR 84.90 / USD 109.– / CHF 149.– ISBN 978-0-8176-4748-3

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Lectures on Algebraic StatisticsDrton, M., University of Chicago, IL, USA / Sturmfels, B., University of California, CA, Berkeley, USA / Sullivant, S., North Carolina State University, Raleigh, NC, USA


How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working on factor analysis raise open problems about determinantal varieties? Connections of this type are at the heart of the new field of “algebraic statistics”. In this field, mathematicians and statisticians come together to solve statistical inference problems using concepts from algebraic geometry as well as related computational and combinatorial techniques. The goal of these lectures is to introduce newcomers from the different camps to algebraic statistics. The introduction will be centered around the following three observations: many important statistical models correspond to algebraic or semi-algebraic sets of parameters; the geometry of these parameter spaces determines the behaviour of widely used statistical inference procedures; computational algebraic geometry can be used to study parameter spaces and other features of statistical models.


Advances in Mathematical and Statistical ModelingArnold, B.C., University of California, Riverside, CA, USA / Balakrishnan, N., McMaster University, Hamilton, ON, Canada / Sarabia, J.M., University of Cantabria, Santander, Spain / Mínguez, R., University of Castilla-La Mancha, Ciudad Real, Spain (Eds)


Enrique Castillo is a leading figure in several mathematical and engineering fields, having contributed seminal work in such areas as statistical modeling, extreme value analysis, multivariate distribution theory, Bayesian networks, neural networks, functional equations, artificial intelligence, linear algebra, optimization methods, numerical methods, reliability engineering, as well as sensitivity analysis and its applications. Organized to honor Castillo’s significant contributions, this volume is an outgrowth of the “International Conference on Mathematical and Statistical Modeling”, and covers recent advances in the field.Applications to safety, reliability and life-testing, financial modeling, quality control, general inference, as well as neural networks and computational techniques are presented. The book is divided into nine major sections, which include distribution theory and applications, probability and statistics, order statistics and analysis, engineering modeling, extreme value theory, business and economics applications, statistical methods, applied mathematics, and discrete distributions.This comprehensive reference work will appeal to a diverse audience from the statistical, applied mathematics, engineering, and economics communities. Practitioners, researchers, and graduate students in mathematical and statistical modeling, optimization, and computing will benefit from this work.

2008. XXXIV, 368 p. 56 illus. HardcoverEUR 79.90 / USD 99.– / CHF 139.– ISBN 978-0-8176-4625-7

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An Introduction to Queueing Theory Modeling and Analysis in Applications Bhat, U. Narayan, Southern Methodist University, Dallas, TX, USA


This introductory textbook is designed for a one-semester course on queueing theory that does not require a course in stochastic processes as a prerequisite. By integrating the necessary background on stochastic processes with the analysis of models, the work provides a sound foundational introduction to the modeling and analysis of queueing systems for a broad interdisciplinary audience of students in mathematics, statistics, and applied disciplines such as computer science, operations research, and engineering.Key features include an introductory chapter, which contains a historical account of the growth of queueing theory in the last 100 years; a modeling-based approach with emphasis on identification of models using topics such as collection of data and tests for stationary and independence of observations; rigorous treatment of the foundations of basic models commonly used in applications with appropriate references for advanced topics; a chapter on modeling and analysis using computational tools; modeling exercises as a motivational tool and review exercises covering background material on statistical distributions.An Introduction to Queueing Theory may be used as a textbook by first-year graduate students and upper-level undergraduate students. With its rigorous coverage of basic material and extensive bibliography of the queueing literature, the work may also be useful to applied scientists and practitioners as a self-study reference for applications and further research.


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Statistical Models and Methods for Biomedical and Technical SystemsVonta, F., University of Cyprus, Nicosia, Cyprus / Nikulin, M., Université Victor Segalen Bordeaux 2, Bordeaux, France / Limnios, N., Université de Technologie de Compiègne, Compiègne, France / Huber-Carol, C., Université Paris V, Paris, France (Eds)


An outgrowth of the “International Conference on Statistical Models for Biomedical and Technical Systems”, this book is comprised of contributions from renowned experts, demonstrating the significance of current research on theory, methods, and applications of the field. The contributions, which deal with the mathematical aspects of survival analysis and reliability as well as other topics, are a careful selection of invited and contributed chapters, reflecting recent developments in the following areas: applications in epidemiology; probabilistic and statistical models and methods in reliability; models and methods in survival analysis, longevity, aging, and degradation; accelerated life models; quality of life; new statistical challenges in genomics.

2008. XXXVI, 556 p. 55 illus. HardcoverEUR 109.– / USD 139.– / CHF 189.– ISBN 978-0-8176-4464-2

In and Out of Equilibrium 2Sidoravicius, V., IMPA, Rio de Janeiro, Brazil / Vares, M.E., CBPF, Rio de Janeiro, Brazil (Eds)


The intersection of probability and physics has been a rich and explosive area of growth in the past three decades, specifically covering such subjects as percolation theory, random walks in random environment, disordered systems, interacting particle

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systems and their many connections to statistical mechanics. The last decade was particularly fruitful for all these topics. This book reflects this development and marks also the first decade of the Brazilian School of Probability. This volume consists of a collection of invited articles, written by some of the most distinguished probabilists, most of whom have been personally responsible for advances in the various subfields of probability.

2008. VII, 574 p. HardcoverEUR 139.– / USD 189.– / CHF 239.– ISBN 978-3-7643-8785-3

A Natural Introduction to Probability Theory Meester, R., Vrije Universiteit Amsterdam, The Netherlands

“The book [is] an excellent new introductory text on probability. The classical way of teaching probability is based on measure theory. In this book discrete and continuous probability are studied with mathematical precision, within the realm of Riemann integration and not using notions from measure theory…. Numerous topics are discussed, such as: random walks, weak laws of large numbers, infinitely many repetitions, strong laws of large numbers, branching processes, weak convergence and [the] central limit theorem. The theory is illustrated with many original and surprising examples and problems.” — Zentralblatt Math

2nd ed. 2008. X, 197 p. SoftcoverEUR 24.90 / USD 39.95 / CHF 42.90 ISBN 978-3-7643-8723-5

Introduction to Probability with Statistical ApplicationsSchay, G.

“This textbook is a classical and well-written introduction to probability theory and statistics. … the book is written ‘for an

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audience such as computer science students, whose mathematical background is not very strong and who do not need the detail and mathematical depth of similar books written for mathematics or statistics majors.’ … Each new concept is clearly explained and is followed by many detailed examples. … numerous examples of calculations are given and proofs are well-detailed.” — Mathematical Reviews

2007. X, 318 p. 44 illus. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4497-0

Seminar on Stochastic Analysis, Random Fields and Applications V Centro Stefano Franscini, Ascona, May 2005 Dalang, R.C. / Dozzi, M. / Russo, F. (Eds)



Statistical Analysis of Extreme Values with Applications to Insurance, Finance, Hydrology and Other Fields Reiss, R.-D. / Thomas, M.

“This book is complemented by an excellent statistical package on CD ROM... The book is however much more than a manual for the program and it would provide an excellent introduction to the subject for any statistician looking for a practical introduction to the subject of extreme values.” — J. Time Series Analysis

3rd ed. 2007. XVII, 511 p. With CD-ROM. SoftcoverEUR 59.90 / USD 79.95 / CHF 99.– ISBN 978-3-7643-7230-9

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Optimal Stopping and Free-Boundary ProblemsPeskir, G. / Shiryaev, A.


2006. XXII, 500 p. HardcoverEUR 49.95 / USD 69.95 / CHF 79.90 ISBN 978-3-7643-2419-3

Point Process Theory and Applications Marked Point and Piecewise Deterministic Processes Jacobsen, M.

PA – Probability and its Applications

“The most remarkable aspect of the book is the reader-friendly structure and the style in which it has been written. The importance of the book both from the practical and from the theoretical standpoint is unquestionable. This book will be an essential part of every mathematical library.” — Zentralblatt Math


Resampling Methods A Practical Guide to Data Analysis Good, P.I.

“I enjoyed this book. The style of writing suggests that statistics is fun and exploratory (which it often is). The reader is helped and encouraged to understand the problem (how the data were obtained) and how they might analyze it using resampling methods.” — The American Statistician (review of the second edition)

3rd ed. 2005. XX, 218 p. 40 illus. HardcoverEUR 66.95 / USD 79.95 / CHF 92.– ISBN 978-0-8176-4386-7

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Invariant Probabilities of Markov-Feller Operators and Their SupportsZaharopol, R.


“All proofs are detailed, many illuminating examples are included, and familiarity with only basics of measure theory, general topology of metric spaces and functional analysis is sufficient to follow the exposition. Therefore, potential readers of this monograph are not only those looking for information about supports of invariant measures, but everybody interested in Markov operators who may find the author’s approach inspiring in many respects.” — Applications od Mathematics


Laws of Small Numbers: Extremes and Rare Events Falk, M. / Hüsler, J. / Reiss, R.-D.

2nd ed. 2004. XIII, 376 p. SoftcoverEUR 39.90 / USD 54.95 / CHF 65.– ISBN 978-3-7643-2416-2

Theory and Applications of Long-Range DependenceDoukhan, P. / Oppenheim, G. / Taqqu, M.S. (Eds)

“Long-range dependence concerns time-series models for phenomena in which correlations decay like a power law, thus much more slowly than in ARMA models.... The present volume contains 28 surveys of the field, treating and merging both theory and applications, giving a global picture of the field.” — Quarterly of Applied Mathematics

2003. 736 p. 72 illus. HardcoverEUR 89.95 / USD 119.– / CHF 140.– ISBN 978-0-8176-4168-9

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Counting, Sampling and Integrating: Algorithms and ComplexityJerrum, M.


2003. XI, 112 p. SoftcoverEUR 24.90 / USD 34.95 / CHF 42.90 ISBN 978-3-7643-6946-0

Handbook of Brownian Motion - Facts and Formulae Borodin, A.N. / Salminen, P.

PA – Probability and its Applications

2nd ed. 2002. XV, 672 p. HardcoverEUR 139.– / USD 189.– / CHF 219.– ISBN 978-3-7643-6705-3

Probability with Statistical ApplicationsSchinazi, R.B.

2001. XIII, 218 p. 25 illus. SoftcoverEUR 54.90 / USD 69.95 / CHF 95.– ISBN 978-0-8176-4247-1

A Probability Path Resnick, S.I.

“This book is a rather comfortable probability path leading from fundamental notions of measure theory and probability theory to martingale theory, since fundamental concepts and basic theorems are always illustrated by important examples and results of additional theoretical value.” — Statistics & Decision

1st ed. 1998. 3rd printing. 2003. 10 illus. HardcoverEUR 54.90 / USD 69.95 / CHF 95.– ISBN 978-0-8176-4055-2

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3rd Printing

An Introduction to Quantum Stochastic CalculusParthasarathy, K.R.


“Elegantly written, with obvious appreciation for fine points of higher mathematics...most notable is [the] author’s effort to weave classical probability theory into [a] quantum framework.” — The American Mathematical Monthly


Adventures in Stochastic ProcessesResnick, S.I.

“Definitely the best textbook for a second course in probability now available. Written with excruciating lucidity, and with an excellent choice of exercises.” — The Bulletin of Mathematics Books

1992. 640 p. HardcoverEUR 54.90 / USD 89.95 / CHF 95.– ISBN 978-0-8176-3591-6

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Mathematical Physics / Physics

Counting Surfaces Combinatorics, Matrix Models and Algebraic Geometry Eynard, B., CEA Saclay, Gif-sur-Yvette, France


Due in Winter 2009

This book explains the "matrix model" method developed by physicists to address the problem of enumerating maps and compares it with other methods. It includes proofs, examples and a general formula for the enumeration of maps on surfaces of any topology.

The book intends to be self-contained and pedagogical, and will provide comprehensive proofs, several examples, and will give the general formula for the enumeration of maps on surfaces of any topology. In the end, the link with more general topics such as algebraic geometry, string theory, will be discussed, and in particular we give a proof of the Witten-Kontsevich conjecture.

2010. Approx. 150 p. HardcoverEUR 29.95 / USD 44.95 / CHF 52.90ISBN 978-3-7643-8796-9

Dynamical Systems with Applications using MAPLE Lynch, S., Manchester Metropolitan University, UK

Due in Winter 2009

Dynamical Systems with Applications using Maple provides an introduction to the theory of dynamical systems with the aid of the Maple algebraic manipulation package. This new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions; two new chapters on neural networks and Maplets have also been added. The author has gone for breadth of coverage rather than fine detail, and theorems with proof are kept to a minimum. The book has a hands-on approach, using Maple as a pedagocial tool throughout. Maple plots with simple commands and programs are listed at the end of each chapter, and along with figures may be viewed at the author’s website. Additional applications and further links of interest may be found at http://www.maplesoft.com. The text is aimed at senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering.

2nd ed. 2010. Approx. 500 p. 350 illus. SoftcoverApprox. EUR 44.95 / USD 59.95 / CHF 99.50ISBN 978-0-8176-4389-8

Dynamical Systems with Applications using MAPLE

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Entropy and InformationVolkenstein, M.V.


Due in August 2009

The book Entropy and Information deals with the thermodynamical concept of entropy and its relationship to information theory. It is successful in explaining the universality of the term “Entropy” not only as a physical phenomenon, but reveals its existence also in other domains. E.g., Volkenstein discusses the “meaning” of entropy in a biological context and shows how entropy is related to artistic activities. Written by the renowned Russian bio-physicist Mikhail V. Volkenstein, this book on “Entropy and Information” surely serves as a timely introduction to understand entropy from a thermodynamic perspective and is definitely an inspiring and thought-provoking book that should be read by every physicist, information-theorist, biologist, and even artist.

2010. Approx. 230 p. HardcoverEUR 39.95 / USD 99.– / CHF 69.90ISBN 978-3-0346-0077-4

Stochastic Models, Information Theory, and Lie Groups, Volume I Classical Results and Geometric Methods Chirikjian, G.S., The Johns Hopkins University, Baltimore, MD, USA



The subjects of stochastic processes, information theory, and Lie groups are found in a wide variety of problems in engineering and applied science. Usually, however, they are treated separately from each other. This unique textbook presents these topics in a unified setting, thereby building bridges between fields that are rarely studied by the same individuals.Volume I establishes the geometric and statistical foundations required to understand the fundamentals of continuous-time stochastic processes, differential geometry, and the statistical branch of information theory.Featuring extensive exercises and applications to optical communication systems, semi-flexible polymers, robotic manipulators, steerable needles, and bacterial chemotaxis, Stochastic Models and Lie Groups will be of interest to graduate students and researchers working in applied mathematics, the sciences, and engineering.

2009. Approx. 410 p. 14 illus. HardcoverApprox. EUR 42.35 / USD 54.95 / CHF 70.50ISBN 978-0-8176-4802-2

Stochastic Models, Information Theory, and Lie GroupsVolume I

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New Directions in Mathematical Fluid Mechanics The Alexander V. Kazhikhov Memorial Volume Fursikov, A.V., Moscow State University, Russia / Galdi, G.P., University of Pittsburgh, PA, USA / Pukhnachev, V.V., Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia (Eds)


Due in August 2009

The scientific interests of Professor A.V. Kazhikhov were fundamentally devoted to Mathematical Fluid Mechanics, where he achieved outstanding results that had, and still have, a significant influence on this field. This volume, dedicated to the memory of A.V. Kazhikhov, presents the latest contributions from renowned world specialists in a number of new important directions of Mathematical Physics, mostly of Mathematical Fluid Mechanics, and, more generally, in the field of nonlinear partial differential equations. These results are mostly related to boundary value problems and to control problems for the Navier-Stokes equations, and for equations of heat convection. Other important topics include non-equilibrium processes, Poisson-Boltzmann equations, dynamics of elastic body, and related problems of function theory and nonlinear analysis.

2010. Approx. 450 p. HardcoverEUR 99.– / USD 159.– / CHF 159.–ISBN 978-3-0346-0151-1

Mathematics for MultimediaWickerhauser, M.-V., Washington University, St. Louis, MO, USA


Due in August 2009

This textbook presents the mathematics that is foundational to multimedia applications. Featuring a rigorous survey of selected results from algebra and analysis, the work examines tools used to create application software for multimedia signal processing and communication. Key features include over 100 exercises with complete solutions; many sample programs in Standard C and illustrations based on data from real studies; suggestions for further reading at the end of each chapter; and a companion website providing the computer programs described in the book as well as additional references and data files, such as images and sounds, to enhance the reader’s understanding of key topics. Only undergraduate-level knowledge of mathematics and no previous knowledge of statistics are required. Mathematics for Multimedia is an ideal textbook for upper undergraduate and beginning graduate students in computer science and mathematics who seek an innovative approach to rigorous, contemporary mathematics with practical applications.

2009. Approx. 310 p. 50 illus. HardcoverApprox. EUR 64.95 / USD 79.95 / CHF 115.–ISBN 978-0-8176-4879-4


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Spacetime, Geometry and GravitationSharan, P., Jamia Millia Islamia, New Delhi, India


Due in August 2009

Teaching Einstein’s general relativity at introductory level poses problem because students cannot begin to appreciate the basics of the theory unless they learn a sufficient amount of Riemannian geometry.The present book solves the pedagogical problem in a unique way by dividing the book in three parts. Essential concepts of Riemannian geometry are introduced in Part I (four chapters) through Gauss’ work on curvature of surfaces using only ordinary calculus. A first acquaintance with Einstein’s theory can then be made. Only after this first brush with both physics and mathematics of relativity, a proper, detailed mathematical background is developed in the next six chapters in Part II. The third part then recaptures all the basic concepts of general relativity and leaves the student with a sound preparation for learning advanced topics. My aim has been that after learning from this book a student should not feel discouraged when she opens advanced texts on general relativity for further reading.

2009. 369 p. HardcoverEUR 69.95 / USD 99.95 / CHF 125.–ISBN 978-3-7643-9970-2


Structural Analysis of Complex NetworksDehmer, M., University of Vienna, Austria (Ed.)

Due in August 2009

Because of the complexity and growth of real-world networks, their analysis using classical graph-theoretic methods is oftentimes not possible. As a result, there is a need to combine graph-theoretic methods with mathematical techniques from other scientific disciplines, such as machine learning and information theory, in order to analyze complex networks.Filling a gap in literature, this self-contained book presents theoretical and application-oriented results to structurally explore complex networks. The work focuses not only on classical graph-theoretic methods, but also demonstrates the usefulness of structural graph theory as a tool for solving interdisciplinary problems.Structural Analysis of Complex Networks is suitable for a broad, interdisciplinary readership of researchers, practitioners, and graduate students in discrete mathematics, statistics, computer science, machine learning, artificial intelligence, computational and systems biology, cognitive science, computational linguistics, and mathematical chemistry. The book may be used as a supplementary textbook in graduate-level seminars on structural graph analysis, complex networks, or network-based machine learning methods.

2009. Approx. 505 p. 93 illus. HardcoverEUR 129.95 / USD 169.– / CHF 202.–ISBN 978-0-8176-4788-9

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The Spin Poincaré Seminar 2007 Duplantier, B., CEA Saclay, Gif-sur-Yvette, France / Raimond, J.-M., ENS Paris, Paris, France / Rivasseau, V., Université de Paris Sud, Orsay, France (Eds)


The book contains articles from leading experts in different areas for which the Spin principle is the common denominator. Theoretical as well as practical topics are discussed, such as the relationship between Spin and Quantum Statistics. Furthermore, current developments of practical applications like Spintronic or medical imaging are presented.

2009. VIII, 193 p. HardcoverEUR 79.90 / USD 109.– / CHF 139.–ISBN 978-3-7643-8798-3

Quantum Field Theory Competitive Models Fauser, B. / Tolksdorf, J. / Zeidler, E.MPI für Mathematik in den Naturwissenschaften, Leipzig, Germany (Eds)

For more than 70 years, quantum field theory (QFT) can be seen as a driving force in the development of theoretical physics. Equally fascinating is the fruitful impact which QFT had in rather remote areas of mathematics. The present book features some of the different approaches, different physically viewpoints and techniques used to make the notion of quantum field theory more precise. For example, the present book contains a discussion including general considerations, stochastic methods, deformation theory and the holographic AdS/CFT correspondence. It also contains a discussion of more recent developments like the use of category theory and topos theoretic methods to describe QFT. The present volume emerged from the 3rd ‘Blaubeuren Workshop: Recent Developments in Quantum Field Theory’, held in July 2007 at the Max Planck Institute of Mathematics in the Sciences in Leipzig/Germany. All of the contributions are committed to the idea of this workshop series: ‘To bring together outstanding experts working in the field of mathematics and physics to discuss in an open atmosphere the fundamental questions at the frontier of theoretical physics’.

2009. XIX, 436 p. HardcoverEUR 89.90 / USD 129.– / CHF 149.–ISBN 978-3-7643-8735-8

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Intermediate Spectral Theory and Quantum Dynamicsde Oliveira, C.R., Federal University of São Carlos, Brazil


The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. Furthermore, such a rigorous mathematical foundation leads to a more profound insight into the nature of quantum mechanics. This textbook provides a concise and comprehensible introduction to the spectral theory of (unbounded) self-adjoint operators and its application in quantum dynamics. The book places emphasis on the symbiotic relationship of these two domains by (1) presenting the basic mathematics of nonrelativistic quantum mechanics of one particle, i.e., developing the spectral theory of self-adjoint operators in infinite-dimensional Hilbert spaces from the beginning, and (2) giving an overview of many of the basic functional aspects of quantum theory, from its physical principles to the mathematical models.The book is intended for graduate (or advanced undergraduate) students and researchers interested in mathematical physics. It starts with linear operator theory, spectral questions and self-adjointness, and ends with the effect of spectral type on the large time behaviour of quantum systems. Many examples and exercises are included that focus on quantum mechanics.

2009. XIII, 410 p. HardcoverEUR 49.90 / USD 69.95 / CHF 89.90ISBN 978-3-7643-8794-5


Quantum Gases in Quasi-One-Dimensional ArraysBakhtiari, M.R., University of Jyväskylä, Finland


The experimental achievement of Bose-Einstein condensation (1995) and of Fermi degeneracy (1999) in ultra-cold, dilute gases has opened a new field in atomic physics and condensed matter physics. In this thesis, first we present an overview of theoretical and experimental facts on ultra-cold atomic gases. We then describe a Green’s function scheme to study coherent transport by fermions through a one-dimensional array of potential wells. Within this scheme different geometries for the array like single-period, double-period and Fibonacci-ordered quasi-periodic array, will be considered. In continue a novel spin-density-functional approach will be introduced to study the ground-state of a one-dimensional trapped Fermi gases inside one-dimensional optical lattices. This approach enables us to investigate both repulsive and attractive Fermi gases within a local-spin-density approximation. We analyze different phases caused by spin-dependent trap for repulsive gas and also by spin-imbalanced population for attractive gas.

2008. XVI, 168 p. SoftcoverEUR 18.– / USD 29.95 / CHF 30.–ISBN 978-88-7642-319-2

Lectures on the ElectroWeak InteractionsBarbieri, R.


2007. XII, 84 p. SoftcoverEUR 17.– / USD 22.95 / CHF 28.–ISBN 978-88-7642-311-6

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Quantum Spaces Poincaré Seminar 2007 Duplantier, B. / Rivasseau, V. (Eds)


2007. IX, 227 p. 33 illus. HardcoverEUR 79.90 / USD 109.– / CHF 135.–ISBN 978-3-7643-8521-7

Planar Ising CorrelationsPalmer, J.


2007. XII, 372 p. 30 illus. HardcoverEUR 79.95 / USD 109.– / CHF 124.50ISBN 978-0-8176-4248-8

Gravitation and Experiment Poincaré Seminar 2006 Damour, T. / Duplantier, B. / Rivasseau, V. (Eds)


2007. VII, 138 p. 35 illus. HardcoverEUR 79.90 / USD 109.– / CHF 135.–ISBN 978-3-7643-8523-1

Molecular Gas Dynamics Theory, Techniques, and Applications Sone, Y.

MSSET – Modeling and Simulation in Science, Engineering and Technology

“In this book the author presents a good review of the theory and the modeling of molecular gas dynamics, together with applications, based on his work with his collaborators. This book is a good reference for researchers interested in applications to kinetic theory and fluid dynamics.” — Mathematical Reviews

2007. XII, 658 p. 179 illus. HardcoverEUR 98.– / USD 129.– / CHF 148.50ISBN 978-0-8176-4345-4

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Quantum Gravity Mathematical Models and Experimental Bounds Fauser, B. / Tolksdorf, J. / Zeidler, E. (Eds)

2007. XVI, 336 p. HardcoverEUR 89.90 / USD 119.– / CHF 149.–ISBN 978-3-7643-7977-3

Rigorous Quantum Field Theory A Festschrift for Jacques Bros Boutet de Monvel, A. / Buchholz, D. / Iagolnitzer, D. / Moschella, U. (Eds)


2007. VI, 326 p. HardcoverEUR 69.95 / USD 99.– / CHF 109.–ISBN 978-3-7643-7433-4

Quantum Decoherence Poincaré Seminar 2005 Duplantier, B. / Raimond, J.-M. / Rivasseau, V. (Eds)


2007. VIII, 192 p. HardcoverEUR 69.95 / USD 99.– / CHF 109.–ISBN 978-3-7643-7807-3

Continuum Mechanics using Mathematica® Fundamentals, Applications and Scientific Computing Romano, A. / Lancellotta, R. / Marasco, A.


“The book will be an invaluable reference for all those with active interest in the areas of continuum mechanics and its fundamental applications: balance laws, constitutive axioms, linear elasticity, fluid dynamics, waves, etc. It may serve as a supplement to any of the standard textbooks for undergraduate students, graduate students,

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and researchers in applied mathematics, mathematical physics, and engineering.” — Zentralblatt Math

2006. XII, 388 p. 66 illus. With CD-ROM. HardcoverEUR 59.90 / USD 79.95 / CHF 105.–ISBN 978-0-8176-3240-3

The Mathematics of the Bose Gas and its CondensationLieb, E.H. / Seiringer, R. / Solovej, J.P. / Yngvason, J.


“The presentation provides significant insight into a large part of the current issues of interest in the physics of Bose systems and especially into the ‘kitchen’ of several relevant mathematical techniques. As such, it is highly recommended to both advanced researchers and students preparing to work in this field.” — Mathematical Reviews

2005. VIII, 208 p. SoftcoverEUR 34.95 / USD 49.95 / CHF 54.90ISBN 978-3-7643-7336-8

Continuum ThermomechanicsBermúdez de Castro, A.


2005. XII, 209 p. HardcoverEUR 59.90 / USD 89.95 / CHF 105.–ISBN 978-3-7643-7265-1

Geometry of Yang-Mills fieldsAtiyah, M.F.

Publications of the Scuola Normale Superiore, Lecture Notes

1979. 95 p. SoftcoverEUR 18.– / USD 24.95 / CHF 30.–ISBN 978-88-7642-303-1

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Hemodynamical Flows Modeling, Analysis and Simulation Galdi, G.P., University of Pittsburgh, PA, USA / Rannacher, R., Universität Heidelberg, Germany / Robertson, A.M., University of Pittsburgh, PA, USA / Turek, S., Universität Dortmund, Germany


This book surveys results on the physical and mathematical modeling as well as the numerical simulation of hemodynamical flows, i.e., of fluid and structural mechanical processes occurring in the human blood circuit. The topics treated are continuum mechanical description, choice of suitable liquid and wall models, mathematical analysis of coupled models, numerical methods for flow simulation, parameter identification and model calibration, fluid-solid interaction, mathematical analysis of piping systems, particle transport in channels and pipes, artificial boundary conditions, and many more. Hemodynamics is an area of active current research, and this book provides an entry into the field for graduate students and researchers. It has grown out of a series of lectures given by the authors at the Oberwolfach Research Institute in November, 2005.

2008. XII, 501 p. SoftcoverEUR 49.90 / USD 69.95 / CHF 65.– ISBN 978-3-7643-7805-9

Generalized Collocation Methods Solutions to Nonlinear Problems Bellomo, N. / Lods, B. / Revelli, R. / Ridolfi, L.


“This book is concerned with the solution of initial-boundary partial differential equations using the generalised collocation method.

Numerical and Computational Maths / Applications

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An Introduction to Analysis, Adaptivity and Multigrid for Variational InequalitiesBrokate, M., TU München, Germany / Carstensen, C., Humboldt Universität Berlin, Germany / Kornhuber, R., FU Berlin, Germany / Krause, R., Universität Bonn, Germany


Due in Winter 2009

Variational inequalities provide the mathematical framework for a variety of nonlinear and non-smooth phenomena in science and engineering. Efficient and reliable solution procedures are closely linked to the mathematics of function spaces and partial differential equations.

The main subjects of this book are a posteriori error analysis and convergence of adaptive finite element methods, the treatment of multigrid methods and multilevel methods with solution-dependent multilevel bases. The discussion is centered around some model obstacle and contact problems and based upon introductory sections on the mathematics of variational inequalities and on finite element discretisation including short MATLAB programs


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Mathematical Biology

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Most of the book describes examples of how the method works for a range of examples. It is aimed primarily at engineering students. The book starts by looking at general considerations of mathematical modelling and discusses dimensional analysis.” — Mathematical Reviews


Selected Topics in Cancer Modeling Genesis, Evolution, Immune Competition, and Therapy Bellomo, N., Politecnico di Torino, Italy / Chaplain, M., University of Dundee, Scotland / De Angelis, E., Politecnico di Torino, Italy (Eds)


Written by first-rate researchers in the field of mathematical biology, this collection of selected chapters offers a comprehensive overview of state-of-the-art mathematical methods and tools for modeling and analyzing cancer phenomena. The book has an overall aim of quantitative, predictive mathematical modeling of solid tumor growth at all scales, from genetics all the way through to treatment therapy for patients.Topics covered include: genetic and epigenetic pathways to colon cancer; nonlinear modeling and simulation of tumor growth; modeling diffusely invading brain tumors; mathematical modeling of breast carcinogenesis; predictive models in tumor immunology; multiscale modeling of solid tumor growth. Selected Topics in Cancer Modeling is an excellent reference for researchers, practitioners, and graduate students in applied mathematics, mathematical biology, and related fields.

2008. XVI, 473 p. 140 illus. HardcoverEUR 79.90 / USD 99.– / CHF 139.– ISBN 978-0-8176-4712-4

Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT)Censor, Y., University of Haifa, Israel / Jiang, M., Peking University, Beijing, China / Louis, A.K., Universität des Saarlandes, Saarbrücken, Germany (Eds)


This book consists of research and review papers by leading experts and practitioners in biomedical imaging and intensity-modulated radiation therapy (IMRT). The topics include mathematical aspects and practical problems in current major and emerging technologies for the diagnostic and therapeutic medicine and biology research. The contributed work signifies the interdisciplinary cooperation between mathematicians and scientists from medical physics, engineering, clinical medicine and biology, that leads to mathematically-based better solutions of practical problems in biomedical imaging and IMRT. This book is also a survey of important research directions and opportunities in mathematics induced by problems in biomedical imaging and radiation planning applications.

2008. XX, 526 p. SoftcoverEUR 30.– / USD 39.95 / CHF 52.– ISBN 978-88-7642-314-7

Modeling Complex Living Systems A Kinetic Theory and Stochastic Game Approach Bellomo, N.


“This nicely written book promotes the idea that the methods employed for modeling living systems may significantly differ from the techniques used for analyzing inert matter. … This text, carefully written by

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a well-known expert, explains broad and profound applications of a new approach to modeling of nonlinear complex systems not only in the natural sciences, but also in systems describing social, ecological, and economic phenomena. It is a very useful reference for anyone interested in mathematical modeling of complex systems.” — Zentralblatt Math


Mathematical Modeling of Biological Systems, Volume I Cellular Biophysics, Regulatory Networks, Development, Biomedicine, and Data Analysis Deutsch, A. / Brusch, L. / Byrne, H. / de Vries, G. / Herzel, H. (Eds)


“[This book] has thirty-two papers that address topics in five broad areas: cellular biophysics, regulatory networks, development, biomedical applications and data analysis. …A general theme is the progression in each application area from experimental research to mathematical modeling, from there to construction of a more abstract mathematical framework and thence to new biological hypotheses. Desirable tools are efficient algorithms for complex computations and visualization, especially in the areas of molecular biology and genetics. …This is a volume directed at specialists, but it is possible to find one’s way to interesting results without too much specialized knowledge. The range of applications is enormous, and this is just Volume 1. Topics addressed in Volume 2 include epidemiology, immunology, evolution and ecology.” — MAA Reviews


Mathematical Modeling of Biological Systems, Volume II Epidemiology, Evolution and Ecology, Immunology, Neural Systems and the Brain, and Innovative Mathematical Methods Deutsch, A. / Bravo de la Parra, R. / de Boer, R.J. / Diekmann, O. / Jagers, P. / Kisdi, E. / Kretzschmar, M. / Lansky, P. / Metz, H. (Eds)



Modeling of Biological MaterialsMollica, F. / Preziosi, L. / Rajagopal, K.R. (Eds)


2007. XV, 357 p. 71 illus. HardcoverEUR 74.95 / USD 99.– / CHF 116.50 ISBN 978-0-8176-4410-9

Transport Equations in BiologyPerthame, B.


2007. VIII, 198 p. 28 illus. SoftcoverEUR 39.90 / USD 59.95 / CHF 69.90 ISBN 978-3-7643-7841-7

Transport Phenomena and Kinetic Theory Applications to Gases, Semiconductors, Photons, and Biological Systems Cercignani, C. / Gabetta, E. (Eds)


“In this collection of articles by experts in the field the reader is given a rather comprehensive overview of many of the

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mathematical aspects and applications of the Boltzmann equation … intended for scientists and engineers in the applied sciences, my own feeling is that investigators whose acquaintance with mathematics is at an advanced level are likely to be the main beneficiaries of this book. The presentation of the material is excellent, very well organized, and highly recommended to this audience.” —Journal of Statistical Physics

2007. XIII, 271 p. 26 illus. HardcoverEUR 68.– / USD 89.95 / CHF 103.50 ISBN 978-0-8176-4489-5

Mathematical Modeling of Complex Biological Systems A Kinetic Theory Approach Bellouquid, A. / Delitala, M.


“The focus of the book is the development of this new mathematical framework, and an application to modeling the immune response, particularly interactions between cancer cells and immune cells, is considered in detail. The model involves integro-differential evolution equations. Much of the book is devoted to obtaining asymptotic solutions as well as numerical solutions of the model system.” — MathSciNet


Advances in Dynamic Games and Their Applications Analytical and Numerical Developments Bernhard, P., Polytech’Nice-Sophia, Sophia Antipolis, France / Gaitsgory, V., University of South Australia, Mawson Lakes, SA, Australia / Pourtallier, O., INRIA, Sophia Antipolis, France (Eds)

AISDG – Annals of the International Society of Dynamic Games, Vol. 10

This book presents current advances in the theory of dynamic games and their applications in several disciplines. The selected contributions cover a variety of topics ranging from purely theoretical developments in game theory, to numerical analysis of various dynamic games, and then progressing to applications of dynamic games in economics, finance, and energy supply.

Thematically organized into eight parts, the book covers key topics in these main areas: theoretical developments in general dynamic and differential games, pursuit-evasion games, numerical approaches to dynamic and differential games, applications of dynamic games in economics and option pricing, search games, evolutionary games, stopping games, and stochastic games and “large neighborhood” games.

2009. XIV, 462 p. 94 illus., 9 in color. HardcoverEUR 119.– / USD 149.– / CHF 209.– ISBN 978-0-8176-4833-6

Mathematical Finance

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Advances in Mathematical FinanceFu, M.C. / Jarrow, R.A. / Yen, J.-Y.J. / Elliott, R.J. (Eds)


2007. XXVIII, 340 p. 41 illus. HardcoverEUR 66.95 / USD 89.95 / CHF 104.– ISBN 978-0-8176-4544-1

Handbook of Computational and Numerical Methods in FinanceRachev, S.T. (Ed.)

2004. VI, 435 p. 15 illus. HardcoverEUR 74.95 / USD 99.– / CHF 116.50 ISBN 978-0-8176-3219-9

Mathematical Finance and ProbabilityKoch Medina, P. / Merino, S.

“This is probably the best written book on discrete-time models of mathematical finance. It is self consistent, all notions used in it are carefully defined. That is a mathematical book - by mathematicians and for mathematicians, which also means that its practical applications are restricted. The bibliography is complete. I strongly recommend that title as an introduction to mathematical finance.” — Control and Cybernetics

2003. VIII, 328 p. SoftcoverEUR 44.90 / USD 69.95 / CHF 75.– ISBN 978-3-7643-6921-7


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Numerical Methods for Structured Matrices and Applications The Georg Heinig Memorial Volume Bini, D.A., Università di Pisa, Italia / Mehrmann, V., TU Berlin, Germany / Olshevsky, V., University of Connecticut, Storrs, CT, USA / Tyrtsyhnikov, E., Russian Academy of Sciences, Moskow, Russia / van Barel, M., Katholieke Universiteit Leuven, Belgium (Eds)



This cross-disciplinary volume brings together theoretical mathematicians, engineers and numerical analysts and publishes surveys and research articles related to the topics where Georg Heinig had made outstanding achievements. In particular, this includes contributions from the fields of structured matrices, fast algorithms, operator theory, and applications to system theory and signal processing.


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Handbook of Floating-Point ArithmeticMuller, J.-M. / Brisebarre, N. / de Dinechin, F. / Jeannerod, C.-P. / Vincent, L. / Melquiond, G. / Revol, N. / Stehlé, D. / Torres, S.École Normale Supérieure de Lyon, France


This handbook aims to provide a complete overview of modern floating-point arithmetic, including a detailed treatment of the current (IEEE-754) and next (preliminarily called IEEE-754R) standards for floating-point arithmetic. Presented throughout are algorithms for implementing floating-point arithmetic as well as algorithms that use floating-point arithmetic. So that the techniques presented can directly be put into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program in C. Key topics and features include a presentation of the history and basic concepts of floating-point arithmetic; a development of smart and nontrivial algorithms, and algorithmic possibilities induced by the availability of a fused multiply-add (fma) instruction; implementation of floating-point arithmetic either in software (on an integer processor) or hardware, and a discussion of issues related to compilers and languages; coverage of several recent advances related to elementary functions; and extensions of floating-point arithmetic such as certification, verification, and precision.

2009. Approx. 600 p. 100 illus. HardcoverApprox. EUR 66.95 / USD 89.95 / CHF 149.50 ISBN 978-0-8176-4704-9

Data Modeling for Metrology and Testing in Measurement SciencePavese, F., Istituto Nazionale di Ricerca Metrologica, Torino, Italy / Forbes, A.B., National Physical Laboratory, Middlesex, UK (Eds)


This book and companion DVD provide a comprehensive set of modeling methods for data and uncertainty analysis, taking readers beyond mainstream methods described in standard texts. The emphasis throughout is on various techniques having a broad range of real-world applications.

Developed in the work are methods and computational tools to address general models that arise in practice, allowing for a more valid treatment of calibration and test data. The companion DVD contains tutorials, sample code, and software packages with demonstrations, enabling readers to test and use tools presented in the book.

The book may be used as a textbook in graduate courses on data modeling and computational methods, or as a training manual in the fields of calibration and testing. The work may also serve as a reference for metrologists, mathematicians, statisticians, software engineers, chemists, and other practitioners with a general interest in measurement science.

2009. XVII, 489 p. 111 illus. With DVD. HardcoverEUR 84.90 / USD 109.– / CHF 149.– ISBN 978-0-8176-4592-2

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Numerical Solutions of Partial Differential EquationsBertoluzza, S., CNR, Pavia, Italy / Falletta, S., Politecnico di Torino, Italy / Russo, G., University of Catania, Italy / Shu, C.-W., Brown University, Providence, RI, USA


This volume offers researchers the opportunity to catch up with important developments in the field of numerical analysis and scientific computing and to get in touch with state-of-the-art numerical techniques. The book has three parts. The first one is devoted to the use of wavelets to derive some new approaches in the numerical solution of PDEs, showing in particular how the possibility of writing equivalent norms for the scale of Besov spaces allows to develop some new methods. The second part provides an overview of the modern finite-volume and finite-difference shock-capturing schemes for systems of conservation and balance laws, with emphasis on providing a unified view of such schemes by identifying the essential aspects of their construction. In the last part a general introduction is given to the discontinuous Galerkin methods for solving some classes of PDEs, discussing cell entropy inequalities, nonlinear stability and error estimates.


Inequalities and Applications Conference on Inequalities and Applications, Noszvaj (Hungary), September 2007 Bandle, C., Universität Basel, Switzerland / Gilányi, A., University of Debrecen, Hungary / Losonczi, L., University of Debrecen, Hungary / Páles, Z., University of Debrecen, Hungary / Plum, M., Universität Karlsruhe, Germany (Eds)


Inequalities continue to play an essential role in mathematics. Perhaps, they form the last field comprehended and used by mathematicians in all areas of the discipline. Since the seminal work Inequalities (1934) by Hardy, Littlewood and Pólya, mathematicians have laboured to extend and sharpen their classical inequalities. This volume contains the contributions of the participants of the Conference on Inequalities and Applications held in Noszvaj (Hungary) in September 2007. It is conceived in the spirit of the preceding volumes of the General Inequalities meetings held in Oberwolfach from 1976 to 1995 in the sense that it not only contains the latest results presented by the participants, but it is also a useful reference book for both lecturers and research workers. The contributions reflect the ramification of general inequalities into many areas of mathematics and also present a synthesis of results in both theory and practice.

2009. XLVIII, 315 p. 7 illus. in color. HardcoverEUR 89.90 / USD 129.– / CHF 159.– ISBN 978-3-7643-8772-3

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Elementary Functions Algorithms and Implementation Muller, J.-M.

2nd ed. 2006. XXII, 266 p. 36 illus. HardcoverEUR 49.95 / USD 59.95 / CHF 69.– ISBN 978-0-8176-4372-0

Perturbation Methods and Semilinear Elliptic Problems on Rn

Ambrosetti, A. / Malchiodi, A.


2006. IX, 183 p. HardcoverEUR 49.95 / USD 69.95 / CHF 79.90 ISBN 978-3-7643-7321-4

Applied Laplace Transforms and z-Transforms for Scientists and Engineers A Computational Approach Using a Mathematica Package Graf, U.

“This book is a very good tool for scientists and engineers that work in the fields of applications, especially on practical problems leading to ordinary differential equations which could be solved through Laplace transformation.” — Zentralblatt Math

2004. X, 500 p. With CD-ROM. HardcoverEUR 99.– / USD 139.– / CHF 159.– ISBN 978-3-7643-2427-8

Methods of Applied Mathematics with a MATLAB OverviewDavis, J.H.


2004. XII, 721 p. 246 illus. HardcoverEUR 89.95 / USD 119.– / CHF 140.– ISBN 978-0-8176-4331-7

An Introduction to Wavelet AnalysisWalnut, D.F.


“D. Walnut’s lovely book aims at the upper undergraduate level, and so it includes relatively more preliminary material … than is typically the case in a graduate text. It goes from Haar systems to multiresolutions, and then the discrete wavelet transform. …The applications to image compression are wonderful, and the best I have seen in books at this level. I also found the analysis of the best choice of basis, and wavelet packet, especially attractive. The later chapters include MATLAB codes. Highly recommended!” — Bulletin of the AMS


A Crash Course in MathematicaKaufmann, S.


Discovering Mathematics with Maple An Interactive Exploration for Mathematicians, Engineers and Econometricians Stroeker, R.J. / Kaashoek, J.F.

“This book distinguishes itself … [the] reader learns how to use MAPLE® by posing problems of strictly mathematical nature, and – as a result – the reader gets insight into the practical and theoretical framework mathematics … Highly recommended.” — Simulation News Europe

1999. With CD-ROM. SoftcoverEUR 44.95 / USD 69.95 / CHF 69.90 ISBN 978-3-7643-6091-7

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2nd Edition

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Numerical AnalysisGautschi, W.

1996. 524 p. HardcoverEUR 74.95 / USD 99.– / CHF 116.50 ISBN 978-0-8176-3895-5

Numerical Methods for Conservation Laws LeVeque, R.J.


“The computing community needs a good text on modern methods for conservation laws, and these notes provide an excellent start on that text. Equally important, LeVeque’s perspective and writing style make for wonderful reading and learning. (How often do we find important content and good writing in one book?)” — SIAM Review

2nd ed. 1992. 214 p. SoftcoverEUR 24.90 / USD 37.95 / CHF 42.90 ISBN 978-3-7643-2723-1


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Circuit Simulation with SPICE OPUS Theory and Practice Tuma, T. / Burmen, Á. University of Ljubljana, Slovenia


This book is the first complete guide to analog circuit design using the circuit simulator software package SPICE OPUS. Developed by the authors and used by academics and industry professionals worldwide, SPICE OPUS is an improved version of the well-known University of California at Berkeley circuit simulator SPICE3 that has been freely available online since 2000.Aimed at novices as well as professional circuit designers, the book is a unique combination of a basic guide to general analog circuit simulation and a SPICE OPUS software manual. All simulations as well as the free simulator software may be directly downloaded from the SPICE OPUS homepage: www.spiceopus.si. The book is divided into three parts: mathematical theory of circuit analysis, a crash course in SPICE OPUS, and a complete SPICE OPUS reference guide.Circuit Simulation with SPICE OPUS is intended for a wide audience of undergraduate and graduate students, researchers, and practitioners in electrical and systems engineering, circuit design, and simulation development.

2009. Approx. 480 p. 158 illus. HardcoverEUR 69.90 / USD 89.95 / CHF 125.– ISBN 978-0-8176-4866-4

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2nd Edition

Engineering

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101


Ideal Sequence Design in Time-Frequency Space Applications to Radar, Sonar, and Communication Systems An, M., deciBel Research, Inc., Huntsville, AL, USA / Brodzik, A.K., The MITRE Corporation, Bedford, MA, USA / Tolimieri, R., Psypher, Inc., Huntsville, AL, USA


This book develops theory and algorithms leading to systematic waveform design in time-frequency space. The key tool employed in the work is the Zak transform, which provides a two-dimensional image for sequences, the Fourier transform, convolution, and correlation, and allows for the design of sequences directly in Zak space.

Topics and features include a rigorous mathematical development of the theory, illustrated by many examples; numerous tables, which compare signal sets satisfying good correlation properties attainable by standard communication theory methods versus Zak space methods; applications in pulse radars and sonars, multibeam radar and sonar imaging systems, remote dielectric material identification, and code division multiple-access communication systems; and a variety of mathematical and application-oriented open problems.


Control and Optimization of Multiscale Process SystemsChristofides, P.D., University of California, Los Angeles, USA / Armaou, A., Pennsylvania State University, University Park, PA, USA / Lou, Y., United Technologies Corporation, Pomona, CA, USA / Varshney, A., Westminster, CO, USA

Control Engineering

This book – the first of its kind – presents general methods for feedback controller synthesis and optimization of multiscale systems, illustrating their application to thin-film growth, sputtering processes, and catalytic systems of industrial interest. The authors demonstrate the advantages of the methods presented for control and optimization through extensive simulations.Included in the work are new techniques for feedback controller design and optimization of multiscale process systems that are not included in other books. The book also contains a rich collection of new research topics and references to significant recent work.

Control and Optimization of Multiscale Process Systems requires basic knowledge of differential equations, probability theory, and control theory, and is intended for researchers, graduate students, and process control engineers.

2009. XX, 232 p. 100 illus. HardcoverEUR 54.90 / USD 69.95 / CHF 95.– ISBN 978-0-8176-4792-6

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Discontinuous Control Systems Frequency-Domain Analysis and Design Boiko, I., University of Calgary, AB, Canada

This book provides new insight on the problem of closed-loop performance and oscillations in discontinuous control systems, covering the class of systems that do not necessarily have low-pass filtering properties. The author provides a practical, yet rigorous and exact approach to analysis and design of discontinuous control systems via application of a novel frequency-domain tool: the locus of a perturbed relay system (LPRS).

Presented are a number of practical examples applying the theory to analysis and design of discontinuous control systems from various branches of engineering, including electro-mechanical systems, process control, and electronics. A few chapters of the book are devoted to frequency-domain theory of sliding mode control, which is presented as a special type of discontinuous control.

Discontinuous Control Systems is intended for readers who have knowledge of linear control theory and will be of interest to graduate students, researchers, and practicing engineers involved in systems analysis and design.


Estimation and Control over Communication NetworksMatveev, A.S., University of Saint Petersburg, Russia / Savkin, A.V., University of New South Wales, Sydney, NSW, Australia

Control Engineering

Although there is an emerging literature on the topic, this is the first book that attempts to present a systematic theory of estimation and control over communication networks. Using several selected problems of estimation and control over communication networks, the authors present and prove a number of results concerning optimality, stability, and robustness having practical significance for networked control system design. In particular, various problems of Kalman filtering, stabilization, and optimal control over communication channels are considered and solved. The results establish fundamental links among mathematical control theory, Shannon information theory, and entropy theory of dynamical systems.

This essentially self-contained monograph offers accessible mathematical models and results for advanced postgraduate students, researchers, and practitioners working in the areas of control engineering, communications, information theory, signal processing, and applied mathematics.

2009. XIV, 533 p. 95 illus. HardcoverEUR 79.90 / USD 99.– / CHF 139.– ISBN 978-0-8176-4494-9

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An Introduction to the Mechanics of Fluids Truesdell, C. / Rajagopal, K.R., Texas A&M University, College Station, TX, USA


1st ed.1999. 2nd printing 2009. XIV, 277 p. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4845-9

A Linear Systems PrimerAntsaklis, P.J. / Michel, A.N.

“This is a textbook introduction to system theory and linear systems control, for a one-semester course at the first-year graduate level … This primer is aimed essentially at course use, with an emphasis on key results and essential theory. … Each chapter ends with a useful ‘summary and highlights’ section and well-documented historical notes pointing back to the technical literature.” — Mathematical Reviews


Atmospheric and Space Flight Dynamics Modeling and Simulation with MATLAB® and Simulink® Tewari, A.

“This book combines in a unified presentation both atmospheric and space flight dynamics in an introductory but rather broad level. The approach followed is very interesting and is well-suited to either teaching undergraduate students or complementing first-year graduate students. In fifteen chapters, topics like orbital mechanics, including some perturbations and details about the restricted three-body problem, rocket propulsion, atmospheric and transatmospheric trajectories, attitude and control are considered in a clear


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presentation. This condensed book even has some introductory explanations of kinematics and nice details about modeling the planetary atmosphere or the Earth’s gravitational field, which makes it self-contained. The approach followed in each chapter is useful and direct with a list of objectives, many worked examples, exercises and a final summary. Another interesting fact is that the book contains the implementation of the computations, in the way suggested by the author, using MATLAB code. This provides a distinct interpretation of formulae; moreover, it is not an obstruction for non-MATLAB users since the code is easy and easily movable to other programming languages.” — Mathematical Reviews

2007. XX, 556 p. 207 illus. SoftcoverEUR 52.– / USD 59.95 / CHF 69.– ISBN 978-0-8176-4373-7

A Software-Defined GPS and Galileo Receiver A Single-Frequency Approach Borre, K. / Akos, D.M. / Bertelsen, N. / Rinder, P. / Jensen, S.H.


“This excellent book will give you the mathematical fundamentals for software-based GPS as well as the source code on DVD. The included MATLAB source code can be used to crunch the collected data to solve for position. This low level processing gives the user a keen insight into the signal processing of a GPS receiver. The provided algorithms encourage user modification to attempt to improved and design next generation GPS receivers.” — SparkFun Electronics

2007. XXI, 176 p. 98 illus. With DVD. SoftcoverEUR 69.90 / USD 79.95 / CHF 92.– ISBN 978-0-8176-4390-4

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Fuzzy Modeling and Fuzzy ControlZhang, H. / Liu, D.

Control Engineering

“Of the books on fuzzy control I have had a chance to study, this one ranks among the best. It can be recommended as a textbook for an advanced course in fuzzy control. Moreover, researchers as well as practitioners in the field of control will definitely profit from the book.”— SIAM Review

2006. XIII, 416 p. 161 illus. HardcoverEUR 74.95 / USD 89.95 / CHF 103.50 ISBN 978-0-8176-4491-8

Linear Systems Antsaklis, P.J. / Michel, A.N.

“There are three words that characterize this work: thoroughness, completeness and clarity. The authors are congratulated for taking the time to write an excellent linear systems textbook!” — IEEE Transactions on Automatic Control

1st ed. 1997. Corr. 2nd printing 2006. XVIII, 670 p. 85 illus. HardcoverEUR 74.95 / USD 89.95 / CHF 103.50 ISBN 978-0-8176-4434-5

Fundamentals of Multibody Dynamics Theory and Applications Amirouche, F.

“This textbook offers a comprehensive exposition of contemporary multibody dynamics elaborated by an expert in and an experienced teacher of the field. There are five features that distinguish this publication: comprehensivity, orientation towards computer implementation, utilization of matrix algebra, teaching-by-examples methodology, and embedding in the author’s own research accomplishments. … [T]his


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is an excellent textbook for undergraduate, graduate, and doctoral students of mechanical engineering, industrial physics and robotics; it may also be recommended as a reference text for researchers in these areas.” — Mathematical Reviews


Handbook of Networked and Embedded Control Systems Hristu-Varsakelis, D. / Levine, W.S. (Eds)

Control Engineering

1st ed. 2005. Corr. 2nd printing 2008. X, 822 p. 256 illus. HardcoverEUR 74.95 / USD 99.– / CHF 116.50 ISBN 978-0-8176-3239-7

PID Controllers for Time-Delay SystemsSilva, G.J. / Datta, A. / Bhattacharyya, S. P.

Control Engineering

2005. XII, 330 p. 137 illus. HardcoverEUR 74.95 / USD 99.– / CHF 116.50 ISBN 978-0-8176-4266-2

Stability of Time-Delay SystemsGu, K. / Kharitonov, V.L. / Chen, J.

Control Engineering

2003. XXII, 354 p. 16 illus. HardcoverEUR 74.95 / USD 99.– / CHF 116.50 ISBN 978-0-8176-4212-9

Foundations of Time-Frequency AnalysisGröchenig, K.


2001. XV, 359 p. 14 illus. HardcoverEUR 74.95 / USD 89.95 / CHF 103.50 ISBN 978-0-8176-4022-4

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105


The Autonomic Systems series aims at creating a platform of communication between universities and industry by publishing research monographs, outstanding PhD theses, and peerreviewed compiled contributions on the latest developments in the field.

It covers a broad range of topics from the theory of autonomic systems that are researched by academia and industry. Hence, cutting-edge research, prototypical case studies, as well as industrial applications are in the focus of this series. Fast reviewing provides a most convenient way to publish latest results in this rapid moving research area.

Series Editors:* Brazier, F.M.T. (VU University, Amsterdam,

The Netherlands) * Rana, O.F. (Cardiff University, Cardiff, UK) * Strassner, J.C. (Waterford Institute of

Technology, Waterford, Ireland)

Autonomic Clustering of Distributed AgentsOgston, E.

ASYS – Autonomic Systems

Due in Winter 2009

2009, Approx. 160 p., SoftcoverApprox. EUR 39.95 / USD 54.95 / CHF 69.90ISBN 978-3-7643-9966-5

Economic Models and Algorithms for Distributed SystemsNeumann, D., Albert-Ludwigs-University Freiburg, Germany / Baker, M., University of Reading, UK / Altmann, J., Seoul National University, South Korea / Rana, O.F., Cardiff University, UK (Eds)

ASYS – Autonomic Systems

Due in August 2009

Distributed computing models for sharing resources such as Grids, Peer-to-Peer systems, or voluntary computing are becoming increasingly popular. While there are some success stories such as PlanetLab, OneLab, BitTorrent, and SETI@home, a widespread use of these technologies for business applications has not yet been achieved. In a business environment, mechanisms are needed to provide incentives to potential users for participating sharing in such networks. These mechanisms may range from simple non-monetary access rights to policies for sharing, to monetary payments. Although a few models for a framework of the notion of a “Grid economy” have been discussed, none of these models has made it into practice yet. This book attempts to fill this gap by discussing the reasons and exploring new incentive mechanisms for distributed systems in collaborative environments. It is the purpose of this book to discover new avenues of research and amendments to existing technologies, aiming at the successful deployment of commercial distributed systems.

2009. Approx. 350 p. SoftcoverApprox. EUR 64.95 / USD 89.95 / CHF 115.– ISBN 978-3-7643-8896-6

New Series

Computer Science

Autonomic Systems

106


Emerging Web Services Technology Volume IIIBinder, W., University of Lugano, Switzerland / Dustdar, S., TU Wien, Austria (Eds)

WSSAT – Whitestein Series in Software Agent Technologies and Autonomic Computing

Due in October 2009

This book contains a collection of selected and revised papers originally presented at the Workshop on Emerging Web Service Technology (WEWST’08) held in conjunction with the 6th European Conference on Web Services (ECOWS’08) in November 2008 in Dublin, Ireland. Acting as an extension to the ECOWS conference, the main goal of the WEWST workshop is serving as a forum for providing early exposure and much needed feedback to grow and establish original and emerging ideas within the Web Services community. The wide variety of tools, techniques, and technological solutions presented in WEWST share one common feature: they advance the current Web Services research in new directions by introducing new and sometimes controversial ideas into the field.


See also:Emerging Web Services Technology, Vol. IIPage 107

Advanced Agent-Based Environmental Management SystemsCortés, U., Universitat Politècnica de Catalunya, Barcelona, Spain / Poch, M., University of Girona, Spain (Eds)


Multi-agent Systems (MAS) are one of the most exciting research areas in Artificial Intelligence meanwhile Environmental Studies is a research area of strategic interest. Both areas can provide society with solutions for many real applications, in order to use and protect the environment. Human activities imply intervention into nature, but properly managed, these interventions can not be only ecologically sound but also favourable to the sustainable development of civilisation. The encounter between these fields is a new challenge for many researchers of both communities.This book presents a comprehensive reference of state-of-the-art efforts. Specifically, it presents current and future ways in which adaptive information technologies, techniques, protocols and architectures, such as software agent technologies and multi-agent systems, can be used to support the development of real-world agent-based systems in the area of e-Environment.


107

Linear Programming Karloff, H.


1st ed.1991. 2nd printing 2009. VIII, 142 p. 6 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4843-5

CASCOM: Intelligent Service Coordination in the Semantic WebSchumacher, M., Av. du Grammont, Lausanne, Switzerland / Helin, H., TeliaSonera, Finland / Schuldt, H., Universität Basel, Switzerland (Eds)


A general architecture for service delivery and coordination in intelligent agent-based peer-to-peer (IP2P) environments, that has been developed within the CASCOM research project, is presented in this book. The CASCOM architecture provides support for business services for mobile workers and users across mobile and fixed networks. To its users, the CASCOM architecture makes easy and seamless access available to Semantic Web Services anytime, anywhere, and using any device. The system has successfully been validated in trials in healthcare applications, in particular in emergency medical assistance.The CASCOM architecture addresses the problem of seamlessly combining various novel technologies that establish the basis for self-adaptable and self-healing systems including semantic service discovery, matchmaking, composition planning and semantic service composition, reliable execution of composite services, and semantic failure handling. The book provides an in-depth introduction into these areas, presents how they have been extended in order to best support the needs for agent-based service coordination in IP2P environment, and finally shows how


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the different agents can be seamlessly combined.

2008. XXVI, 362 p. SoftcoverEUR 44.90 / USD 69.95 / CHF 79.90 ISBN 978-3-7643-8574-3

Emerging Web Services Technology, Volume IIGschwind, T., IBM Research, Zurich, Switzerland / Pautasso, C., University of Lugano, Switzerland (Eds)


This book contains a collection of selected and revised papers originally presented at the Workshop on Emerging Web Service Technology (WEWST’07) held in conjunction with the 5th European Conference on Web Services (ECOWS’07) in November 2007 in Halle (Saale), Germany. Acting as the natural extension to the main ECOWS conference, the main goal of the WEWST workshop is serving as a forum for providing early exposure and much needed feedback to grow and establish original and emerging ideas within the Web Services community. The wide variety of tools, techniques and technological solutions presented in WEWST share one common feature: they advance the current Web services research in new directions by introducing new and sometimes controversial ideas into the field.


Issues in Multi-Agent Systems The AgentCities.ES Experience Moreno, A. / Pavón, J. (Eds)


2008. IX, 225 p. SoftcoverEUR 39.90 / USD 59.95 / CHF 65.– ISBN 978-3-7643-8542-2

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to prepare bids for and evaluate offers on behalf of the users they represent with the aim of obtaining the maximum benefit for their users.For the agents, their bids are decided according to some bidding strategy. However, in CDAs, it is a complex decision problem because of the inherent uncertainty and dynamics of the auction market. In this book, we present a new bidding strategy for agents to adopt in CDAs and propose tools to enhance the performance of existing bidding strategies in CDAs. The superior performance of the new bidding strategy as well as the tools presented in this book are illustrated through extensive experiments.


Algorithms and Programming Problems and Solutions Shen, A., Institute of Problems of Information Transmission, Moscow, Russia


1st ed. 1996. 2nd printing 2008. XIV, 218 p. 30 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4760-5

Defense Industry Applications of Autonomous Agents and Multi-Agent SystemsPechoucek, M. / Thompson, S.G. / Voos, H. (Eds)




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Quantum Information and Many Body Quantum Systems Proceedings Ericsson, M., University of Cambridge, UK / Montangero, S., NEST-CNR-INFM and Scuola Normale Superiore, Pisa, Italy (Eds)


In the last years a growing attention has been dedicated to many body quantum systems from the point of view of quantum information. Indeed, after the initial investigation of simple systems as single or two qubits, the need of understanding the characteristics of a realistic quantum information device leads necessarily to the study of many body quantum systems. These studies are also driven by the very fast development of experiments which in the last years reach the goal of coherent control of a few qubits (ion traps, charge qubits, etc.) with a roadmap for further scaling and improvement of coherent control and manipulation techniques.This book gives a selection of current research topics in the field of quantum information for many body quantum systems together with open problems.


Bidding Strategies in Agent-Based Continuous Double AuctionsMa, H., CWI, Kruislaan, Amsterdam, The Netherlands / Leung, H., Chinese University Hong-Kong, China


Online auctions are a platform to trade goods on the Internet. In this context, negotiation capabilities for software agents in continuous double auctions (CDAs) are a central concern. Agents need to be able

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Advanced Autonomic Networking and CommunicationCalisti, M. / van der Meer, S. / Strassner, J.C. (Eds)


2008. IX, 190 p. SoftcoverEUR 39.90 / USD 59.95 / CHF 65.– ISBN 978-3-7643-8568-2

Agent Technology and e-HealthAnnicchiarico, R. / Cortés, U. / Urdiales, C. (Eds)



Variational Problems in Transport Theory with Mass ConcentrationSantambrogio, F.


2007. XXXII, 198 p. SoftcoverEUR 18.– / USD 24.95 / CHF 30.– ISBN 978-88-7642-312-3

Dynamical Systems with Applications using MATLAB®

Lynch, S.

“The book is a good introduction to dynamical systems theory. …The theory and applications are presented with the aid of the MATLAB package. Throughout the book, MATLAB is viewed as a tool for solving systems or producing exciting graphics. …The MATLAB programs are kept as simple as possible and the author’s experience has shown that this method of teaching using MATLAB works well with computer laboratory classes of small sizes. I recommend ‘Dynamical Systems

with Applications using MATLAB’ as a good handbook for a diverse readership: graduates and professionals in mathematics, physics, science and engineering.” — Mathematica

2004. XVIII, 462 p. 330 illus. SoftcoverEUR 49.90 / USD 59.95 / CHF 89.90 ISBN 978-0-8176-4321-8

Mathematics for the Analysis of Algorithms Greene, D.H. / Knuth, D.E.


Reprint of the 1990 ed. 2008. X, 132 p. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4728-5

Cluster Analysis for Data Mining and System IdentificationAbonyi, J. / Feil, B.

2007. XVIII, 303 p. 120 illus. HardcoverEUR 99.– / USD 129.– / CHF 158.– ISBN 978-3-7643-7987-2

Filtering Theory With Applications to Fault Detection, Isolation, and Estimation Saberi, A. / Stoorvogel, A.A. / Sannuti, P.


“This book is about filtering of white noise and finite energy type signals for finite-dimensional linear time-invariant system models. … This book is written for a mathematically mature reader with background in state space, geometric theory and filtering at least at the first year graduate level in engineering or applied mathematics.” — Mathematical Reviews

2007. XIV, 723 p. 44 illus. HardcoverEUR 108.– / USD 139.– / CHF 160.– ISBN 978-0-8176-4301-0

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The Agent Modeling Language - AML A Comprehensive Approach to Modeling Multi-Agent Systems Cervenka, R. / Trencansky, I.


2007. XI, 355 p. SoftcoverEUR 39.90 / USD 59.95 / CHF 65.– ISBN 978-3-7643-8395-4

A Graph-Theoretic Approach to Enterprise Network DynamicsBunke, H. / Dickinson, P.J. / Kraetzl, M. / Wallis, W.D.

PCS – Progress in Computer Science and Applied Logic (PCS), Vol. 24

“This book introduces various graph theory topics, and shows how these concepts can be used to solve some of the real problems that arise in these five functional areas. … It is more suitable for research professors working with data networks, graduate students in the subject, or advanced undergrads in discrete mathematics.” — Computing Reviews

2007. XIII, 225 p. 110 illus. HardcoverEUR 58.– / USD 74.95/ CHF 86.50 ISBN 978-0-8176-4485-7

Contemporary CryptologyCatalano, D. / Cramer, R. / Damgard, I. / Di Crescenzo, G. / Pointcheval, D. / Takagi, T.




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Dynamical Systems with Applications using MAPLELynch, S.

“The book will be useful for all kinds of dynamical systems courses. … [It] shows the power of using a computer algebra program to study dynamical systems, and, by giving so many worked examples, provides ample opportunity for experiments. … [It] is well written and a pleasure to read, which is helped by its attention to historical background.” — Mathematical Reviews (1st Edition)

2000. XIII, 420 p. 200 illus. SoftcoverEUR 49.95 / USD 59.95 / CHF 69.– ISBN 978-0-8176-4150-4

Dynamical Systems with Applications using Mathematica®

Lynch, S.

“Stephen Lynch’s book offers a comprehensive introduction to the theory and application of differential equations and dynamical systems methods. Its focus on applications and avoidance of overly technical arguments makes it a an equally good choice for teaching an undergraduate course in dynamical systems, as self-study for graduate students interested in dynamical systems, or as an introductory text for researchers seeking an overview of some current developments in applied dynamical systems. Most importantly, its content and presentation style convey the excitement that has drawn many students and researchers to dynamical systems in the first place.” — Dynamical Systems Magazine

2007. XV, 484 p. 211 illus. SoftcoverEUR 49.90 / USD 59.95 / CHF 85.– ISBN 978-0-8176-4482-6

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Of General Interest

Mathematical Olympiad Challenges Andreescu, T., University of Texas at Dallas, Richardson, TX, USA / Gelca, R., Texas Tech University, Lubbock, TX, USA

This signficantly revised and expanded second edition of Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately. Historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on creative solutions to open-ended problems.

New to the second edition:Completely rewritten discussions precede * each of the 30 units, adopting a more user-friendly style with more accessible and inviting examplesMany new or expanded examples, * problems, and solutionsAdditional references and reader * suggestions have been incorporated

2nd ed. 2009. XVII, 283 p. 108 illus. SoftcoverEUR 34.90 / USD 49.95 / CHF 59.90 ISBN 978-0-8176-4528-1

Nexus Network Journal 11,3 Architecture and Mathematics Williams, K., Torino, Italy (Ed.)

Due in Winter 2009

2009. Approx. 200 p. SoftcoverEUR 79.90 / USD 109.– / CHF 139.– ISBN 978-3-7643-8977-2


Due in August 2009

The title of this issue of the Nexus Network Journal, Architecture, Mathematics and Structure, is deliberately ambiguous. At first glance, it might seem to indicate the relationship between what buildings look like and how they stand up. This is indeed one aspect of what we are concerned with here. But on a deeper level, the fundamental concept of structure is what connects architecture to mathematics. Both architecture and mathematics are highly structured formal systems expressed through a symbolic language. For architecture, the generating structure might be geometrical, musical, modular, or fractal. Once we understand the nature of the structure underlying the design, we are able to “read” the meaning inherent in the architectural forms. The papers in this issue all explore themes of structure in different ways.

2009. Approx. 200 p. SoftcoverEUR 79.95 / USD 109.– / CHF 139.– ISBN 978-3-7643-8975-8

Second Edition

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Of General Interest


In celebration of the 2009 International Year of Astronomy, this issue of the Nexus Network Journal is devoted to relationships between astronomy, mathematics and architecture. Ancient cultures looked to the heavens in order to identify timeless principles for their own creations. Knowledge gained in astronomy was transformed into culture through architecture and design. Papers in this issue look at how astronomy influenced architecture and urban design.

2009. 200 p. SoftcoverEUR 79.95 / USD 109.– / CHF 139.– ISBN 978-3-7643-8973-4


This volume features a collection of papers dedicated to “Canons of Form-Making”, in honor of the 500th anniversary of the birth of architect Andrea Palladio (1508-1580). Theorist as well as practitioner, Palladio’s architecture was based on well-defined canons that he had gleaned from studying the treatises as well as the remains of architecture from antiquity. Palladio himself left to posterity not only his large corpus of built works, but his Quattro libri d’architettura. Three of the papers in this issue are specifically about Palladio and his work. The other papers deal with canons of form-making, ancient and contemporary.



The quintessential Renaissance Man, Leonardo da Vinci was well aware of the fundamental importance of mathematics for architecture. This issue of the Nexus Network Journal examines Leonardo’s knowledge of theoretical mathematics, explores how he used concepts of geometry in his designs for architectural projects, and reports on a real-life construction project using Leonardo’s principles. Authors include Sylvie Duvernoy, Kim Williams, Rinus Roelofs, Biagio Di Carlo, Mark Reynolds, João Pedro Xavier, Vesna Petresin, Christopher Glass, and Jane Burry. To complete the issue Rachel Fletcher writes her Geometer’s Angle column on Dynamic Symmetry, Michael Ostwald reviews A Theory of General Ethics by Warwick Fox, Sarah Clough Edwards reviews Inigo Jones and the Classical Tradition by Christy Anderson, and Sylvie Duvernoy reviews Architecture and Mathematics in Ancient Egypt by Corinna Rossi.


Nexus Network Journal 9,2 Architecture and Mathematics Williams, K. (Ed.)


Nexus Network Journal 9,1Architecture and MathematicsWilliams, K. (Ed)

2007. 158 p. SoftcoverEUR 49.90 / USD 64.95 / CHF 85.–ISBN 978-3-7643-8443-2

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Indiscrete Thoughts Rota, G.-C., MIT, Cambridge, MA, USA


Reprint of the 1997 ed. 2008. XXII, 280 p. 1 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4780-3

The Math Problems NotebookBoju, V. / Funar, L.


Symmetry Cultural-historical and Ontological Aspects of Science-Arts Relations; the Natural and Man-made World in an Interdisciplinary Approach Darvas, G.

“This complete and beautifully presented book...relies little on mathematics but offers a bevy of vivid examples and eye catching illustrations...This deep exploration on the fascinating subject of symmetry takes a historical overview. It ranges from the pottery motifs of the misty past to more recent discoveries and applications in particle and high-energy physics, structural and biochemistry chemistry, genetics, brain research, business decision making, and more. The author starts from the very basic definitions of symmetry: reflection, rotation, and translation. From there the mathematical concepts never get beyond anything more complex than Euler’s Polyhedral Formula. … Among the liberal excursions into photographic and illustrated examples of symmetry, many are reproduced in full color in a dedicated final section to the book. Other final sections include a long bibliography of related works and indexes by both name and subject. As a result, this book serves not only as enlightening and

Of General Interest

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Israel Gohberg and Friends On the Occasion of his 80th Birthday Bart, H., Erasmus Universiteit Rotterdam, The Netherlands / Hempfling, T., Basel, Switzerland / Kaashoek, M.A., Vrije Universiteit Amsterdam, The Netherlands (Eds)

This book is dedicated to Israel Gohberg on occasion of his 80th birthday on August 23, 2008. It is an expression of esteem and friendship for a great mathematician, a remarkable person and an inspiring colleague. The book contains reflections by Gohberg himself on his own mathematical activities and those of others. It also includes contributions of colleagues and co-workers, both from his time in the Soviet Union and from when he lived and worked in the West. The contributions in question are not mathematical research papers but focus on the man Israel Gohberg and are intended for a wide audience. To be found are letters, speeches, laudatios and reminiscences which, together, present an attractive picture of the way in which Israel Gohberg in the past four to five decades influenced the lives of many mathematicians. Biographical material such as a curriculum vitae, a list of publications, a list of Ph.D. students and information about honorary doctoral degrees is also included.


Discrete Thoughts Essays on Mathematics, Science and Philosophy Kac, M., University of Southern California, CA, USA / Rota, G.-C., MIT, Cambridge, MA, USA / Schwartz, J.T., New York University, New York, NY, USA


Reprint of the 1992 2nd ed. 2008. XII, 264 p. 5 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4774-2

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entertaining reading that can be entered into at any point, but a good reference work on symmetry.” — MAA Reviews

2007. XI, 508 p. 420 illus., 66 in color. SoftcoverEUR 59.90 / USD 79.95 / CHF 105.– ISBN 978-3-7643-7554-6

Mathematical Olympiad TreasuresAndreescu, T. / Enescu, B.

“I took great pleasure in reading Mathematical Olympiad Treasures, by Titu Andreescu and Bogdan Enescu. This book is the fruit of the prodigious activity of two well-known creators of mathematics problems in various mathematical journals. … I believe strongly that Mathematical Olympiad Treasures will reveal the beauty of mathematics to all students, teachers and all math lovers.” — MAA Online

2004. VI, 234 p. 99 illus. SoftcoverEUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4305-8

Fibonacci NumbersVorobiev, N.N.

“This is a wonderful book with a huge amount of information on Fibonacci numbers. First published in the 1950s for high school students enrolled in a mathematical circle at the Leningrad State University, the book only assumes knowledge of high school mathematics, but the reader will need the sophistication of a good upper-level mathematics major. The warmth and enthusiasm of the late author comes through Mircea Martin’s English translation. … This book would be useful to any mathematician with a desire to know more about the Fibonacci numbers. A student could use it for a reading project on the Fibonacci numbers. … Overall, I enjoyed the book and highly recommend it.” — MAA Online


Of General Interest

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The Topos of Music Geometric Logic of Concepts, Theory, and Performance Mazzola, G.B.

“Topos of Music is an extensive and elaborate body of mathematical investigations into music and involves several and ontologically different levels of musical description. Albeit the author Guerino Mazzola lists 17 contributors and 2 collaborators, the book should be characterized as a monograph. Large portions of the content represent original research of Mazzola himself, and the material from other work is exposed from Mazzola’s point of view and is well referenced. The preface preintimates an intended double meaning of the term topos in the title. On the one hand, it provides a mathematical anchor, which is programmatic for the entire approach: the concept of a cartesian closed category with a subobject classifier …” — Zentralblatt Math

2002. HardcoverEUR 129.– / USD 189.– / CHF 219.– ISBN 978-3-7643-5731-3

The Geometry of the Group of Symplectic DiffeomorphismPolterovich, L.



Compact Riemann SurfacesNarasimhan, R.



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The Algebraic Mind Galois Theory in the 19th Century Martini, L., Siena, Italy / Toti Rigatelli, L., Università di Siena, Italy

SNHS – Science Networks. Historical Studies

Due in Summer 2010

The aim of this book is to discuss the development of Galois theory from 1830 to the turn of the twentieth century. It traces the evolution of this theory through the works of those nineteenth-century algebraists who significantly contributed to modern algebra. Starting with an analysis of Galois’ memoirs, the book discusses the development of the concept of substitution group, in particular, and of group theory, in general, by focusing on the contributions that German, French, British, Norwegian, and Italian mathematicians, among others, gave to algebraic research throughout the second half of the nineteenth century.

2009. Approx. 230 p. HardcoverApprox. EUR 99.– / USD 139.– / 159.–ISBN 978-3-7643-8802-7

La correspondance entre Henri Poincaré et les astronomes et géodésiensWalter, S.A. / Krömer, R. / Nabonnand, P. / Schiavon, M. (Eds)Université Nancy 2, France

PAHP – Publications des Archives Henri Poincaré / Publications of the Henri Poincaré Archives

Due in Winter 2009

The letters in this volume cover Poincaré’s multifaceted career in astronomy in its entirety, extending from the time of his first publications in 1880 to the end of his life in 1912. At a tender age, Poincaré established his authority in questions of celestial mechanics, and his counsel was soon sought out on technical points by the leading astronomers and geodesists of the day, including C.V.L. Charlier, G.H. Darwin, F.R. Helmert, A. Lindstedt A.M. Lyapunov, Simon Newcomb, and Karl Schwarzschild. Poincaré and his correspondents take up topics ranging from the three-body problem and the theory of orbits to perturbation theory and the figure of rotating fluid masses. The volume also sheds light on Poincaré’s three terms as president of the Bureau of Longitudes, where he guided French astronomy through ambitious projects, such as measuring an arc of meridian near Quito.

2009. Env. 450 p. RelieEUR 169.– / USD 229.– / CHF 349.– ISBN 978-3-7643-7167-8

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Correspondance de Leonhard Euler avec L. Bertrand, Ch. Bonnet, J. Castillon, G. Cramer, Ph. Cramer, G. Cuenz, G.L. Lesage, J.M. von Loen et J.K. WettsteinBodenmann, S., Riehen, Switzerland / Kleinert, A., Halle, Germany

Leonhard Euler, Opera Omnia, Series quarta A Vol. 7

Due in October 2009

This volume of the Opera Omnia will be devoted to the French letters Euler exchanged with his friend and countryman Johann Kaspar Wettstein, as well as with some Swiss scholars from and around Geneva (Louis Bertrand, Charles Bonnet, Marc-Michel Bousquet, Jean Castillon, Gabriel Cramer, Philibert Cramer, Gaspard Cuentz, Georges-Louis Lesage). It will also include a short correspondence between the great mathematician and a remote relative, Johann Michael von Loen, who is mentioned in a letter from Louis Bertrand and in some letters from Euler addressed to Maupertuis and Frederic II.

We hope that those correspondences will draw a slightly different portrait of Euler, who wasn’t just the most prolific mathematician ever but also built networks to propagate his ideas, to protect and recommend some of his contemporaries, eventually to help organize and consolidate the Academies of Berlin and St. Petersburg.

2010. Env. 550 p. RelieEUR 154.21 / USD 229.– / CHF 248.– ISBN 978-3-7643-8743-3

Hermann GraßmannPetsche, H.-J., Potsdam, Germany


Hermann Grassmann whose career was spent as a high-school teacher in Stettin is known as the founder of n-dimensional vector algebra as well as for his lasting contributions to physics and linguistics. In his opus magnum, the “Ausdehnungslehre” he developed, mainly inspired by Schleiermacher’s philosophical method, an entirely new mathematical discipline. Ignored by his contemporaries, his remarkable work is now recognized to have been that of a pioneer. The biography goes into detail of the complex network of internal and external factors that shaped Grassmann’s development.

2009. Approx. 280 p. HardcoverEUR 69.95 / USD 99.95 / CHF 125.– ISBN 978-3-7643-8859-1

German EditionSee page 137

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Hermann Graßmann – Roots and Traces Autographs and Unknown Documents Petsche, H.-J., Universität Potsdam, Germany / Kannenberg, L., Weston, MA, USA / Keßler, G., Potsdam, Germany / Liskowacka, J., Szczecin, Poland (Eds)


Original documents on the life of Hermann Grassmann are rare. The manuscripts he left are missing. Nevertheless the situation is not hopeless. Parts of the literary remains of the Grassmann family could be tracked down in Szczecin. Unknown letters have been found in German archives. Pictures of Hermann Grassmann and his father and brother, not seen before, can be shown here for the first time.

The documentation (presented in German and English), which is needed for an appropriate appreciation on the 200th anniversary of this great scholar, gives deep insights into his struggle for self-discovery, and allows the relationship to his very different brother to emerge vividly. Together with the biography, and the interdisciplinary volume, this volume is essential for everyone who want to get to know this great scholar better and to plumb the depths of Grassmann’s output.

2009. Approx. 180 p. HardcoverEUR 49.95 / USD 69.95 / CHF 79.90 ISBN 978-3-0346-0154-2

Japanese Mathematics in the Edo Period (1600-1868)Horiuchi, A., Paris, France

SNHS – Science Networks. Historical Studies


The book presents the main features of the Wasan tradition, which is the indigenous mathematics that developed in Japan during the Edo period. (1600-1868). It begins with a description of the first mathematical textbooks published in the 17th century, then shifts to the work of the two leading mathematicians of this tradition, Seki Takakazu and Takebe Katahiro. The book provides substantial information on the historical and intellectual context, the role played by the Chinese mathematical treatises introduced at the late 16th century, and an analysis of Seki’s and Takebe’s contribution to the development of algebra and calculus in Japan.


Hermann Graßmann – Roots and Traces

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Selected Works of A.I. ShirshovBokut, L.A., Sobolev Institute of Mathematics, Novosibirsk, Russia / Latyshev, V., MGU im. Lomonosova, Moscow, Russia / Shestakov, I., IME-USP, Sao Paulo, Brazil / Zelmanov, E., UCSD, La Jolla, USA (Eds)

CM – Contemporary Mathematicians

This book presents translations of selected works of the famous Russian mathematician A.I. Shirshov (1921–1981). He was a pioneer in several directions of associative, Lie, Jordan, and alternative algebras, as well as groups and projective planes. His name is associated with notions and results on Gröbner-Shirshov bases, the Composition-Diamond Lemma, the Shirshov-Witt Theorem, the Lazard-Shirshov elimination process, Shirshov’s Height Theorem, Lyndon-Shirshov words, Hall-Shirshov bases, Shirshov’s theorem on the Kurosh problem for alternative and Jordan algebras, and Shirshov’s theorem on the speciality of Jordan algebras with two generators. Shirshov’s ideas were used by his student Efim Zelmanov for the solution of the Restricted Burnside Problem. Several famous algebraists provide in this book detailed comments on the impact of Shirshov’s work on current algebra.


The First Professional Scientist Robert Hooke and the Royal Society of London Purrington, R.D., Tulane University, New Orleans, LA, USA

SNHS – Science Networks. Historical Studies, Vol. 39

A contemporary of Christopher Wren, Robert Boyle, and Isaac Newton, and close friend of all but Newton, Robert Hooke (1635-1703), one of the founders of the early scientific revolution, faded into almost complete obscurity after his death and remained there for nearly three centuries. The result has been that his role in the scientific revolution has been almost totally ignored. He was the first professional scientist worthy of the name, working for the young Royal Society of London as its curator of experiments for four decades. He became the Society’s intellectual center, and for a while its Secretary, roles which led to confrontation with Newton. He made important contributions to pneumatics, mechanics, microscopy, astronomy, and geology, and was partner to Wren in rebuilding London after the Fire.


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E.C.G. Stueckelberg, An Unconventional Figure of Twentieth Century Physics Selected Scientific Papers with Commentaries Lacki, J., Universität Genf, Switzerland / Ruegg, H., Troinex, Switzerland / Wanders, G., Lausanne, Switzerland (Eds)

Born in 1905, Ernst C. G. Stueckelberg was professor of theoretical physics at the Universities of Geneva and Lausanne in the years 1930 – 1970. He was one of the most eminent Swiss physicists of the 20th century. His breakthroughs, from his causal S-matrix to the renormalization group, have influenced the development of contemporary theoretical physics. The book presents a selection of his most important scientific papers. They are preceded with a series of introductory essays, contributed by scientists and historians, specialists of Stueckelberg’s achievements and time. These essays deal with the scientific context and the issues of the various topics that Stueckelberg tackled in his scientific career and serve as an enlightening complement to the reprinted papers. The volume also contains Stueckelberg’s concise biography and an exhaustive list of his publications. It ambitions to provide an authoritative source gathering in a single place all the material needed to assess the scientific achievements of one of the most important, albeit somehow overlooked, scientists of 20th century.

2009. XV, 422 p. HardcoverEUR 119.– / USD 169.– / CHF 209.–ISBN 978-3-7643-8877-5

The World as a Mathematical Game John von Neumann and Twentieth Century Science Israel, G., Università di Roma “La Sapienza”, Rome, Italy / Millán Gasca, A., Università Roma Tre, Rome, Italy


Galileo and Newton’s work towards the mathematisation of the physical world; Leibniz’s universal logical calculus; the Enlightenment’s mathématique sociale. John von Neumann inherited all these aims and philosophical intuitions, together with an idea that grew up around the Vienna Circle of an ethics in the form of an exact science capable of guiding individuals to make correct decisions. With the help of his boundless mathematical capacity, von Neumann developed a conception of the world as a mathematical game, a world globally governed by a universal logic in which individual consciousness moved following different strategies: his vision guided him from set theory to quantum mechanics, to economics and to his theory of automata (anticipating artificial intelligence and cognitive science). This book provides the first comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science. The Italien edition is awarded the Premio Peano 2008.


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A Lost Mathematician, Takeo Nakasawa The Forgotten Father of Matroid Theory Nishimura, H., Tsukuba University, Japan / Kuroda, S., Passau, Germany (Eds)

Matroid theory was invented in the middle of the 1930s by two mathematicians independently, namely, Hassler Whitney in the USA and Takeo Nakasawa in Japan. Whitney became famous, but Nakasawa remained anonymous until two decades ago. He left only four papers to the mathematical community, all of them written in the middle of the 1930s. It was a bad time to have lived in a country that had become as eccentric as possible. Just as Nazism became more and more flamboyant in Europe in the 1930s, Japan became more and more esoteric and fanatical in the same time period. This book explains the little that is known about Nakasawa’s personal life in a Japan that had, among other failures, lost control over its military. This book contains his four papers in German and their English translations as well as some extended commentary on the history of Japan during those years. The book also contains 14 photos of him or his family. Although the veil of mystery surrounding Nakasawa’s life has only been partially lifted, the work presented in this book speaks eloquently of a tragic loss to the mathematical community.


The Physical Tourist A Science Guide for the Traveler Rigden, J.S. , Washington University, St. Louis, MO, USA / Stuewer, R.H., University of Minnesota, Minneapolis, MN, USA (Eds)

Typical travel guides have sections on architecture, art, literature, music and cinema. Rarely are any science-related sites identified. For example, a current travel guide for Germany contains one tidbit on science: Einstein is identified as the most famous citizen of Ulm. By contrast, this travel guide walks a tourist through Berlin and identifies where Max Planck started the quantum revolution, where Einstein lived and gave his early talks on general relativity, and where, across the street, Einstein’s books were burned by the Nazis. Or, if you are walking in Paris, this guide tells you where radioactivity was discovered and where radium was discovered. Scientific discoveries of the past, like art of the past, have shaped life in the 21st century. From this travel guide, a tourist will learn what other guides leave out.

2009. VIII, 249 p. 115 illus. HardcoverEUR 19.90 / USD 29.95 / CHF 34.90 ISBN 978-3-7643-8932-1

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Collected Works of Charles François SturmPont, J.-C., Université de Genève, Switzerland (Ed.)

Charles François Sturm was born in Geneva, Switzerland, on September 29, 1803. He obtained his scientific education in this city and began his rich scientific career there through significant research in sound propagation and compressibility of fluids. In September of 2003, on the occasion of the 200th anniversary of his birth, his home city honoured his worldwide recognition with a colloquium and workshop under the sponsorship of the University of Geneva.This volume is based on lectures presented at that colloquium, which focused on C.F. Sturm’s own work. The book contains a selection of reproductions of his scientific publications. Sturm contributed notably to geometry (theory of polygons, elementary geometry, projective geometry, conic sections), algebra, analysis (differential equations, series), optics (caustics, physiological optics), mechanics, and other areas of physics (particularly fluid mechanics and speed of sound in water).

2009. X, 808 p. HardcoverEUR 149.– / USD 209.– / CHF 259.– ISBN 978-3-7643-7989-6

A History of Algebraic and Differential Topology, 1900–1960Dieudonné, J.


2009. XXIV, 648 p. SoftcoverApprox. EUR 46.20 / USD 59.95 / CHF 77.– ISBN 978-0-8176-4906-7

The Theory of the Top Vol. 1: Introduction to the Kinematics and Kinetics of the Top Klein, F. / Sommerfeld, A.

The Theory of the Top: Volume I. Introduction to the Kinematics and Kinetics of the Top is the first of a series of four self-contained English translations of the classic and definitive treatment of rigid body motion.Key features:

Complete and unabridged presentation * with recent advances and additional notesAnnotations by the translators provide * insights into the nature of science and mathematics in the late 19th centuryEach volume interweaves theory and * applications

Volume I focuses on providing fundamental background material and basic theoretical concepts. The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Göttingen University that was broadened in scope and clarified as a result of collaboration with Arnold Sommerfeld. Graduate students and researchers interested in theoretical and applied mechanics will find this a thorough and insightful account. Other volumes in this series include Development of the Theory for the Heavy Symmetric Top, Perturbations: Astronomical and Geophysical Applications, and Technical Applications of the Theory of the Top.

2008. XVIII, 279 p. 43 illus. HardcoverEUR 64.90 / USD 79.95 / CHF 115.– ISBN 978-0-8176-4720-9

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Discovering the Principles of Mechanics 1600-1800 Essays by David Speiser Williams, K., Torino, Italy / Caparrini, S., Orbassano (Torino), Italy (Eds)

This book assembles 21 essays on the history of mechanics and mathematical physics written by David Speiser from 1961 to 2003. The period dealt with goes from the beginning of the seventeenth century through the eighteenth century. In particular, the essays discuss developments in elasticity, rigid bodies, gravitation, the principle of relativity, optics, and first principles. David Speiser examines the work of Galileo, Huygens, Newton, Leibniz, the Bernoullis, Euler, Maupertuis, and Lambert. Sandro Caparrini and Kim Williams have selected the papers that present a cohesive overview of a crucial period in the history of mechanics by a historian and physicist of renown. Ordered chronologically with regards to the scientific developments, this collection presents a history of mechanics during the period under consideration.

2008. X, 331 p. HardcoverEUR 89.90 / USD 129.– / CHF 149.– ISBN 978-3-7643-8564-4

The Moon that Wasn’t The Saga of Venus’ Spurious Satellite Kragh, H., University of Aarhus, Denmark


This book details the history of one of astronomy’s many spurious objects, the satellite of Venus. First spotted in 1645, the non-existing moon was observed more than a dozen times until the late eighteenth century. Although few astronomers believed in the existence of the moon after about 1770, it continued to attract attention for at least another century. However, it has largely disappeared from the history of astronomy, and the rich historical sources have never

been exploited. By telling the story of the enigmatic satellite in its proper historical context it is demonstrated that it was much more than a mere curiosity in the annals of astronomy – Frederick II of Prussia was familiar with it, and so was Bonnet, Kant and Voltaire. The satellite of Venus belongs to the same category as other fictitious celestial bodies (such as the planet Vulcan), yet it had its own life and fascinating historical trajectory. By following this trajectory, the history of planetary astronomy is addressed in a novel way.


Ettore Majorana Aspects of his Scientific and Academic Activity Guerra, F., Università di Roma La Sapienza, Italy / Robotti, N., Università di Genova, Italy

Publications of the Scuola Normale Superiore, Vol. 6

Little more than one hundred years have gone by since the birth of Ettore Majorana, a highly renowned theoretical physicist. His career was brief and irregular but very intense, and he disappeared in March 1938 in circumstances that still are not completely clear. This volume is a contribution to a better understanding of the scientific, academic and human personality of Ettore Majorana, beyond the layers of legendary aspects which have accumulated over the years. Based on primary sources alone-scientific literature of the period and numerous archival documents - the figure of Ettore Majorana emerges in a completely new light. A rich reproduction of original documents completes the volume.

2008. XII, 243 p. SoftcoverEUR 23.– / USD 39.95 / CHF 38.– ISBN 978-88-7642-331-4

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Lacroix and the CalculusCaramalho Domingues, J., University of Minho, Braga, Portugal


Silvestre François Lacroix (Paris, 1765 – ibid., 1843) was a most influential mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral (1797–1800; 2nd ed. 1810–1819) – an encyclopedic appraisal of 18th-century calculus which remained the standard reference on the subject through much of the 19th century, in spite of Cauchy’s reform of the subject in the 1820s.Lacroix and the Calculus is the first major study of Lacroix’s large Traité. It uses the unique and massive bibliography given by Lacroix to explore late 18th-century calculus, and the way it is reflected in Lacroix’s account. Several particular aspects are addressed in detail, including: the foundations of differential calculus, analytic and differential geometry, conceptions of the integral, and types of solutions of differential equations (singular/complete/general integrals, geometrical interpretations, and generality of arbitrary functions).


Bernhard Riemann 1826-1866 Turning Points in the Conception of Mathematics Laugwitz, D., Technische Hochschule, Darmstadt, Germany


1st ed. 1999. 2nd printing 2008. XX, 358 p. 40 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4776-6

Perspectives on the History of Mathematical Logic Drucker, T., University of Wisconsin, Whitewater, WI, USA (Ed.)


Reprint of the 1991 ed. 2008. XXVI, 196 p. 10 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4768-1

Riemann, Topology, and Physics Monastyrsky, M.I., Institute for Theoretical and Experimental Physics, Moscow, Russia


2nd ed. 1999. 2nd printing 2008. XVIII, 216 p. 45 illus. SoftcoverEUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4778-0

One Hundred Years of Intuitionism (1907–2007) The Cerisy Conference Atten, M., IHPST, Paris, France / Boldini, P., Université Paris-Sorbonne, France / Bourdeau, M., IHPST, Paris, France / Heinzmann, G., Nancy-Université/CNRS, France (Eds)

PAHP – Publications des Archives Henri Poincaré / Publications of the Henri Poincaré Archives

With logicism and formalism, intuitionism is one of the main foundations for mathematics proposed in the twentieth century; and since the seventies, notably its views on logic have become important also outside foundational studies, with the development of theoretical computer science.The aim of the book is threefold: to review and complete the historical account of intuitionism; to present recent philosophical work on intuitionism; and to give examples of new technical advances and applications

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Die Werke von Johann I und Nicolaus II Bernoulli Band 6: Mechanik I Bernoulli, J.I. / Bernoulli, N.II

2008. XXII, 695 p. Cloth boundEUR 214.02 / USD 289.– / CHF 368.– ISBN 978-3-7643-7367-2

A History of Abstract AlgebraKleiner, I.

“This book gives an overview of the origin and development of the basic ideas of modern abstract algebra. … In each chapter, the author makes extensive references to relevant literature. The book can be recommended to mathematicians, teachers of mathematics (especially of algebra), historians of the sciences and students, who can find many useful references and ideas for their research, teaching or studies.” — EMS Newsletter


History of Banach Spaces and Linear OperatorsPietsch, A.

“This fundamental and interesting monograph is devoted to the history (and not only) of a remarkable and rich branch of up-to-date mathematics ... I recommend this book to all who are interested in Functional Analysis, to beginners and researchers, all students and all professors who deal with Functional Analysis and its applications. And I think that this book will be useful to each mathematical library.” — Zentralblatt Math

2007. XXIII, 855 p. 82 illus. HardcoverEUR 109.– / USD 139.– / CHF 160.– ISBN 978-0-8176-4367-6

History of Science

TTEXTBOOK

of intuitionism. This volume brings together 21 contributions by today’s leading authors on these topics, and surveys the philosophical, logical and mathematical implications of the approach initiated in 1907 in L.E.J. Brouwer’s dissertation.


Patterns of Change Linguistic Innovations in the Development of Classical Mathematics Kvasz, L., Comenius University, Bratislava, Slovakia, and Charles University, Praha, Czech Republic


The book offers a reconstruction of linguistic innovations in the history of mathematics. It argues that there are at least three ways in which the language of mathematics can be changed. As illustration of changes of the first kind, called re-codings, is the development along the line: synthetic geometry, analytic geometry, fractal geometry, and set theory. In this development the mathematicians changed the very way of constructing geometric figures. As illustration of changes of the second kind, called relativization, is the development of synthetic geometry along the line: Euclid’s geometry, projective geometry, non-Euclidean geometry, Erlanger program up to Hilbert’s Grundlagen der Geometrie. Changes of the third kind, called re-formulations are for instance the changes that can be seen on the different editions of Euclid’s Elements. Perhaps the best known among them is Playfair’s change of the formulation of the fifth postulate.

2008. XVIII, 261 p. HardcoverEUR 99.– / USD 139.– / CHF 175.– ISBN 978-3-7643-8839-3

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Labyrinth of Thought A History of Set Theory and Its Role in Modern Mathematics Ferreirós, J.

“José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization.” — Bulletin of Symbolic Logic

2nd, revised ed. 2007. XXV, 466 p. 7 illus. SoftcoverEUR 59.90 / USD 89.95 / CHF 105.– ISBN 978-3-7643-8349-7

Jacopo da Firenze’s Tractatus Algorismi and Early Italian Abbacus CultureHøyrup, J.



Leonhard Euler A Man to Be Reckoned With Heyne, A.K. / Heyne, A.K.


German EditionSee page 136

Geometry and Monadology Leibniz’s Analysis Situs and Philosophy of Space De Risi, V.



Tool and Object A History and Philosophy of Category Theory Krömer, R.


2007. XXXVI, 367 p. HardcoverEUR 99.– / USD 129.– / CHF 169.– ISBN 978-3-7643-7523-2

Leonhard EulerFellmann, E.A.

“This is the only biography of Leonhard Euler currently available in English, and it would be worth having for that reason alone. … The book is a good introductory biography of Euler, and it is handsomely produced, with nice paper and lots of illustrations. It is a welcome addition to the literature on Euler. Fellmann has chosen to make this a non-technical biography. There are no mathematical details and no formulas. Short accounts of Euler’s work are included, but few details are given. Even then, the sections that go into Euler’s work are marked with asterisks so that readers who are not willing to delve into specifics can skip them. With non-technical readers in mind, Fellmann privileges those aspects of Euler’s work that are more accessible ...” — MAA Reviews

2007. XV, 179 p. 58 illus. HardcoverEUR 29.90 / USD 39.95 / CHF 49.90 ISBN 978-3-7643-7538-6

2nd Edition

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Modern Algebra and the Riseof Mathematical Structures Corry, L.

2nd revised ed. 2004. 451 p. SoftcoverEUR 64.90 / USD 99.– / CHF 109.– ISBN 978-3-7643-7002-2

Mathematics and WarBooss-Bavnbek, B. / Høyrup, J. (Eds)

2003. VIII, 416 p. SoftcoverEUR 39.– / USD 59.95 / CHF 60.– ISBN 978-3-7643-1634-1

The Power of Images in Early Modern SciencesLefèvre, W. / Renn, J. / Schoepflin, U.

2003. IX, 308 p. 202 illus., 86 in color. SoftcoverEUR 119.– / USD 179.– / CHF 199.– ISBN 978-3-7643-2434-6

Evariste Galois (1811-1832)Toti Rigatelli, L.

VM – Vita Mathematica, Vol. 11

“This very pleasant, interesting and well-written biography is based on the analysis and interpretation of a series of hitherto neglected documents found by the author in the French archives. Certainly a book to recommend and that every mathematical library should have.” — Numerical Algorithms


The Apprenticeship of a MathematicianWeil, A.


2nd Edition

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Mathematische ModellierungHoffmann, K.-H., TU München, Garching / Witterstein, G., TU München, Garching,

Mako – Mathematik Kompakt

Geplant für Dezember 2009

Mathematische Modellbildung und nume-rische Simulation sind neben dem Experiment und der Theoriebildung zur dritten Säule der naturwissenschaftlichen Forschung geworden. Daraus ergibt sich die Erfordernis, auch die Grundlagen zur Konstruktion mathematischer Modelle und charakteristische Beispiele für die Ausbildung von Studenten aufzubereiten. Dieses Lehrbuch bietet die Grundaspekte, die erforderlich sind, um in Naturwissenschaften, Ingenieurwissenschaften und Lebenswissen-schaften konsistente mathematische Modelle zu erarbeiten. Der Stoff behandelt einführend Fragen zur Dimensionsanalyse, zur asympto-tischen Entwicklung und zu Grenzschichten. Diese Thematik wird systematisch bei der Darstellung der Grundprinzipien der Mechanik insbesondere der mathematischen Model-lierung von strömenden Medien aufgegriffen. Durch Einbezug von Wärmeleitungsprozessen erschließt sich u.a. ein Weg zur Modellbildung bei der Behandlung einer breiten Klasse von freien Randwertproblemen. Im Elektroma-gnetismus finden neben der Herleitung der klassischen Grundgleichungen auch Aspekte der Hysterese und Modelle zur Supraleitung Berücksichtigung. Das Studium mehrerer größerer Fallbeispiele ergänzt und erläutert weiter die dargebotenen Inhalte.

2010. Etwa 150 S. Brosch.EUR (D) 18,90 / EUR (A) 19.43 / CHF 29.90ISBN 978-3-7643-9974-0

Herausgeber: Brokate, M., TU München Engl, H.W.,Universität WienHoffmann, K.-H., TU MünchenKersting, G., Universität Frankfurt/MainStroth, G., Universität HalleWelzl, E., ETH Zürich

Kompakt:• relevantes Wissen auf 150 SeitenLernen leicht gemacht:• Beispiele und Übungsaufgaben veranschaulichen die Anwendung der InhaltePraktisch für Dozenten:• jeder Band dient als Vorlage für eine 2-stündige Lehrveranstaltung

Die Lehrbuchreihe Mathematik Kompakt ist eine Reaktion auf die Umstellung der Diplomstudiengänge in Mathematik zu Bachelor- und Masterabschlüssen.Inhaltlich werden unter Berücksichtigung der neuen Studienstrukturen die aktuellen Entwicklungen des Faches aufgegriffen und kompakt dargestellt.Die modular aufgebaute Reihe richtet sich an Dozenten und ihre Studierenden in Bachelor- und Masterstudiengängen und alle, die einen kompakten Einstieg in aktuelle Themenfelder der Mathematik suchen.Zahlreiche Beispiele und Übungsaufgaben stehen zur Verfügung, um die Anwendung der Inhalte zu veranschaulichen.

Weitere Informationen finden Sie im Internet unter: www.birkhauser.ch/mathekompakt

Mathematik Kompakt

Die Lehrbuchreihe fürBachelor- und Masterstudiengänge

Deutschsprachige Titel

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Diskrete MathematikTaraz, A., Technische Universität München


Geplant für Winter 2009

Dieses Buch führt kompakt in einige Kerngebiete der Diskreten Mathematik ein. Es behandelt grundlegende Konzepte aus der Kombinatorik und der Graphentheorie. Darüber hinaus fokussiert es einerseits auf thematische Einheiten wie endliche Geometrien und Ramseytheorie sowie andererseits auf methodische Schwerpunkte wie probabilistische und algebraische Techniken. So wird den Lesenden klar, dass die Diskrete Mathematik eine spannende Disziplin mit eigenen Fragestellungen ist, die zahlreiche interessante Bezüge zu den klassischen Anfängervorlesungen hat. Dieses Buch stellt das Fachgebiet in idealer Tiefe für eine zwei- bis vierstündige Lehrveranstaltung dar.

2009. Etwa 150 S. Brosch.EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90ISBN 978-3-7643-8898-0

Maß und IntegralBrokate, M., TU München, Garching / Kersting, G., Universität Frankfurt



Der Integralbegriff in seiner Ausprägung durch Lebesgue ist ein grundlegendes Werkzeug in der modernen Analysis, Numerik und Stochastik. Für Lehrveranstaltungen in diesen Bereichen stellt das Buch in kompakter Weise wesentliche Sachverhalte bereit. Es liefert Orientierung und Material für verschiedene Varianten 2-stündiger Lehrveranstaltungen. In einem ergänzenden Abschnitt werden um den Begriff der Konvexität Verbünde zur Funktionalanalysis hergestellt.



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Einführung in die FinanzmathematikAlbrecher, H., Radon Institut, Austrian Academy of Sciences, Linz / Binder, A., MathConsult GmbH, Linz / Mayer, P., Technische Universität Graz


Optionen, Futures, Swaps, strukturierte Investments – auf den heutigen Finanzmärkten werden eine Fülle so genannter derivativer (abgeleiteter) Finanzinstrumente gehandelt. Deren Bewertung und Risikomanagement sind Gegenstand der modernen Finanzmathematik. Dieses Buch führt an entsprechende Fragestellungen, Denkweisen und Lösungskonzepte heran und legt dabei besonderes Augenmerk auf praxisrelevante Aspekte und Modelle. Die algorithmische Umsetzung der Lösungskonzepte wird in zahlreichen Beispielen mit dem Software-Paket “UnRisk” illustriert. Dieses wird Dozenten und Studierenden (zeitlich begrenzt) zur Verfügung gestellt und bietet über die Plattform "Mathematica" eine graphisch ansprechende Oberfläche.Die vorliegende Einführung ist speziell für Veranstaltungen in Bachelor-Studiengängen konzipiert.

2009. X, 163 S. Brosch.EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90ISBN 978-3-7643-8783-9

Mathematische LogikZiegler, M., Universität Freiburg


Geplant für Herbst 2009

Dieses Buch bietet eine Einführung in die verschiedenen Aspekte der mathematischen Logik, die jeder Mathematiker und Informatiker kennen sollte. Nach dem Prädikatenkalkül und seinen Anwendungen auf die Anfänge der künstlichen Intelligenz wird die Mengenlehre axiomatisch dargestellt. Im dritten und vierten Teil werden die notwendigen Grundbegriffe der Berechenbarkeitstheorie und die Hierarchie der in den natürlichen Zahlen definierbaren Teilmengen eingeführt, um schließlich die Gödelschen Unvollständigkeitssätze zu beweisen. Durch seinen klaren Stil und die eingefügten Übungsaufgaben ist dieses Buch eine konzise Einführung in diese Grundlagen der gesamten Mathematik.


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Numerische MathematikEine Einführung anhand von DifferentialgleichungsproblemenZulehner, W., Universität Linz


Numerische Mathematik, aufgeteilt in zwei Bände, ist eine Einführung in die Numerische Mathematik anhand von Differentialgleichungsproblemen. Gegliedert nach elliptischen, parabolischen und hyperbolischen Differentialgleichungen wird zunächst jeweils die Diskretisierung solcher Probleme besprochen. Als Diskretisierungstechniken stehen Finite-Elemente-Methoden im Raum und (partitionierte) Runge–Kutta-Methoden in der Zeit im Vordergrund. Die diskretisierten Gleichungen dienen als Motivation zur Diskussion von Methoden für endlichdimensionale lineare und nichtlineare Gleichungen, die anschließend als eigenständige Themen behandelt werden. Auf diese Weise wird versucht, nicht nur ein einführendes sondern auch ein in sich abgeschlossenes Bild der Numerischen Mathematik, zumindest in einem zentralen Aufgabenbereich, zu vermitteln.

Band 1: Stationäre Probleme2008. VI, 150 S. Brosch.EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90ISBN 978-3-7643-8426-5


Band 2: Instationäre Probleme 2009. Etwa 150 S. Brosch.EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90ISBN 978-3-7643-8428-9

Algorithmische Methoden Zahlen, Vektoren, Polynome Kügler, P., Universität Linz / Windsteiger, W., Universität Linz


Gegenstand des Buches sind Algorithmen zur Lösung gängiger Fragestellungen der Analysis und der Linearen Algebra. Die Gliederung erfolgt anhand der mathematischen Objekte, die in den vorgestellten Methoden die zentrale Rolle spielen. So stehen im vorliegenden Buch Zahlen, Vektoren und univariate Polynome im Mittelpunkt, während in einem nachfolgenden Band auf Algorithmen zu Matrizen, Funktionen und multivariaten Polynomen eingegangen wird. Die Darstellung und Gegenüberstellung numerischer und symbolischer Methoden bietet eine klare Übersicht über die entsprechenden Anwendungsfelder. Tatsächliche Implementierungen in Mathematica und/oder Matlab der im Buch beschriebenen Algorithmen stehen als Download zur Verfügung.

2009. XII, 160 S. Brosch.EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90ISBN 978-3-7643-8434-0


Algorithmische MethodenFolgen, Funktionen, Matrizen

2009. XII, 160 S. Brosch.EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90ISBN 978-3-7643-8515-6

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Mathematische Modelle in der Biologie Deterministische homogene Systeme Prüß, J.W., Universität Halle-Wittenberg / Schnaubelt, R., Universität Karlsruhe / Zacher, R., Universität Halle-Wittenberg


Dieses Lehrbuch befasst sich mit mathema-tischen Modellen für dynamische Prozesse aus den Biowissenschaften. Behandelt werden Dynamiken von Populationen, Epi-demien, Viren, Prionen und Enzymen, sowie Selektion in der Genetik. Das Buch konzen-triert sich auf Modelle, deren Formulierung auf gewöhnliche Differentialgleichungen führt. Schwerpunkte der Kapitel sind sowohl die mathematische Modellierung als auch die Analyse der resultierenden Modelle, sowie die biologische bzw. biochemische Interpretation der Ergebnisse. Übungs-aufgaben zu den Kapiteln erleichtern die Vertiefung des Stoffes. Das Buch schlägt eine Brücke zwischen elementaren Einfüh-rungen in die Modellierung biologischer und biochemischer Systeme und mathematisch anspruchsvoller Spezialliteratur.

2008. VIII, 176 S. Brosch.EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90ISBN 978-3-7643-8436-4

Elementare StochastikKersting, G. / Wakolbinger, A. Universität Frankfurt


In der modernen Stochastik werden Wahr-scheinlichkeiten im Zusammenhang mit Zufallsvariablen gedacht. Damit macht die-ses Lehrbuch Ernst, schon die Welt uniform verteilter Zufallsgrößen wird dann farbig. Das Konzept der Zufallsgrößen prägt den Aufbau des Buches. Es enthält neue Bei-spiele und dringt auf knappem Raum weit in das Rechnen mit Zufallsvariablen vor, ohne Techniken aus der Maß- und Integrations-theorie zu bemühen. Die wichtigsten diskre-

ten und kontinuierlichen Verteilungen werden erklärt, und der Umgang mit Erwartungswert, Varianz und bedingten Verteilungen wird vermittelt. Der Text reicht bis zum Zentralen Grenzwertsatz (samt Beweis) und zu den Anfängen der Markovketten. Je ein Kapitel ist Ideen der Statistik und der Informationstheo-rie gewidmet.

2008. 150 S. Brosch.EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90ISBN 978-3-7643-8430-2

Geplant für Oktober 2010

Zufallsvariable und Stochastische Prozesse



Codierungstheorie und KryptographieWillems, W., Universität Magdeburg


Im heutigen Informationszeitalter werden täglich riesige Mengen von digitalen Daten über Kanäle wie die Atmosphäre, die Tele-fonleitung oder Speichermedien übertragen. Dabei treten bei der Übertragung zwei zentra-le Probleme auf: einerseits die Sicherung der Daten gegenüber zufälligen Fehlern, die der Kanal verursacht (etwa durch Rauschen in der Atmosphäre oder Kratzer auf der CD), ande-rerseits die Sicherung der Information gegen-über unerlaubtem Lesen (etwa beim Pay-TV) oder sogar der Manipulation der Daten (etwa beim Homebanking). Auf die erste Frage gibt die Codierungstheorie, auf die zweite die Kryptographie eine Antwort. Das Buch führt in die wesentlichen Methoden der beiden The-menkreise ein. Die Aufnahme von aktuellem Stoff, wie beispielsweise LDPC-Codes oder dem AKS-Algorithmus, geben dem Text eine moderne Prägung.


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Elementare Zahlentheorie Remmert, R., Westfälische Wilhelms-Universität Münster / Ullrich, P., Universität Koblenz-Landau

Grundstudium Mathematik

Um die Fragestellungen in der elementaren Zahlentheorie zu verstehen, reicht die Fähigkeit zu zählen aus; um sie zu beantworten, bedarf es aber oft scharfsinniger Überlegungen und der Entwicklung fundamentaler Prinzipien. So beginnt dieses Buch mit der Primfaktorzerlegung und dem grössten gemeinsamen Teiler, zwei Begriffen, die aus dem Schulunterricht bekannt sind, die bei genauerer Betrachtung aber viel von ihrer Selbstverständlichkeit verlieren. Auch der theoretische Hintergrund des aus dem Alltag wohlvertrauten Dezimalsystems wird erörtert. Weitere behandelte Themen sind Kongruenzenrechnung, primitive Wurzeln und, zu guter Letzt, das Reziprozitätsgesetz für quadratische Reste. Das vorliegende Buch richtet sich an Dozenten und Studenten der Mathematik, Lehrer an Realschulen und Gymnasien, jeden, der sich für ein weit über dreitausend Jahre altes Teilgebiet der Mathematik interessiert. Es setzt dabei keine Kenntnisse ausser elementarem Schulstoff voraus. Aufgrund seiner Ausführlichkeit lässt sich der Text nicht nur vorlesungsbegleitend verwenden, sondern ist auch zum Selbststudium geeignet. Aufgaben am Ende eines jeden Paragraphen üben den behandelten Stoff ein und vertiefen ihn.

2008. 280 S. Brosch.EUR (D) 24.90 / EUR (A) 25.60 / CHF 39.90 ISBN 978-3-7643-7730-4

Dritte Auflage

Analysis I Amann, H., Universität Zürich / Escher, J., Universität Hannover


Dieses Lehrbuch ist der erste Band einer dreiteiligen Einführung in die Analysis. Es ist durch einen modernen und klaren Aufbau geprägt, der versucht den Blick auf das Wesentliche zu richten. Anders als in den üblichen Lehrbüchern wird keine künstliche Trennung zwischen der Theorie einer Variablen und derjenigen mehrerer Veränderlicher vorgenommen. Der Leser soll in dem Erkennen der wesentlichen Inhalte und Ideen der Analysis geschult werden und sich ein solides Fundament für das Studium tieferliegender Theorien erwerben. Das Werk richtet sich an Hörer und Dozenten der Anfängervorlesung der Analysis. Durch zahlreiche Beispiele, Übungsaufgaben und Ergänzungen zum üblichen Vorlesungsstoff ist der Text ausserdem zum Selbststudium, als Vorlage für vertiefende Seminare und als Grundlage für das gesamte Mathematik- bzw. Physikstudium geeignet.

2006. XV, 445 S. Brosch.ISBN 978-3-7643-7755-7EUR (D) 29.95 / EUR (A) 30.79 / CHF 44.90

Analysis II 2. Aufl. 2006. XII, 415 S. Brosch.EUR (D) 29.95 / EUR (A) 30.79 / CHF 44.90 ISBN 978-3-7643-7105-0

Analysis III2. Aufl. 2008. XII, 480 S. Brosch.EUR (D) 29.90 / EUR (A) 30.73 / CHF 49.90ISBN 978-3-7643-8883-6

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Funktionentheorie in der Ebene und im RaumGürlebeck, K., Bauhaus-Universität Weimar / Habetha, K., RWTH Aachen / Sprössig, W., TU Bergakademie Freiberg


Die Funktionentheorie einer komplexen Variablen hat heute höher-dimensionale Analoga: dabei wird die Algebra der komplexen Zahlen durch die nicht-kommutative Algebra der reellen Quaternionen bzw. Clifford-Algebren ersetzt. In den letzten 30 Jahren hat sich die so genannte Quaternionen- und die reelle Clifford-Analysis erfolgreich entwickelt. Eine Vielzahl von Anwendungen haben diese Funktionentheorie höher-dimensionaler Variablen zu einem wichtigen Instrument der Analysis und deren Anwendungen in der mathematischen Physik werden lassen. Das Buch reflektiert den neuesten Stand der Forschung und entwickelt sowohl die höher-dimensionalen Ergebnisse als auch die klassischen komplexen Resultate aus einem einheitlichen Begriff der Holomorphie. Der fundamentale Begriff der holomorphen Funktion als Lösung des Cauchy-Riemann-Systems wird im Höher-dimensionalen unter Beibehaltung der Bezeichnung als Lösung eines entsprechenden Systems partieller Differentialgleichungen 1. Ordnung verstanden. Historische Bemerkungen, zahlreiche Beispiele, viele Abbildungen sowie eine angemessene Auswahl von Übungsaufgaben festigen und erweitern die erworbenen Kenntnisse.

2006. XIII, 406 S. Mit CD-ROM. Brosch.EUR (D) 29.95 / EUR (A) 30.79 / CHF 44.90 ISBN 978-3-7643-7369-6

AlgebraArtin, M. Massachusetts Institute of Technology, Cambridge, MA, USA


Diese ungewöhnliche Einführung in lineare Algebra und Algebra ist über viele Jahre aus den Vorlesungsnotizen des Autors gewachsen und zeichnet sich aus durch einen harmonischen Aufbau des behandelten Stoffes. Als eine Besonderheit umfasst dieser nebst den üblichen Inhalten auch die Betonung spezieller Themen wie Symmetrie, lineare Gruppen und quadratische Zahlkörper. Der Text besticht insbesondere durch eine für den Studenten besonders verständliche Präsentation des Stoffes. Zahlreiche Beispiele und Übungsaufgaben erhöhen seinen Wert als studienbegleitende Literatur für die ersten drei bis vier Semester des Studiums der Mathematik und verwandter Gebiete.

1998. XIII, 705 S. Brosch.EUR (D) 39.95 / EUR (A) 41.07 / CHF 59.90ISBN 978-3-7643-5938-6

Lineare Algebra und Analytische Geometrie Ein Lehrbuch für Physiker und Mathematiker Bröcker, T.


2. Aufl. 2004. X, 366 S. Brosch.EUR (D) 29.95 / EUR (A) 30.79 / CHF 44.90ISBN 978-3-7643-7144-9

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Projektive Geometrie und Cayley–Klein Geometrien der EbeneKowol, G., Universität Wien

In diesem Buch wird am Beispiel der ebenen reellen und komplexen projektiven Geometrie und der davon abgeleiteten Cayley–Klein-Geometrien versucht aufzuzeigen, dass das Mathematisieren eine weit über das Fachspezifische hinausgehende Bedeutung hat – sowohl in erkenntnistheoretischer Hinsicht als auch in Bezug auf Anwendungen. Ersteres wird durch den anschaulich-synthetischen Zugang, der im Laufe der Darstellung durch den analytischen ergänzt wird, belegt und durch philosophische und mathematikhistorische Erörterungen untermauert; letzteres erstreckt sich auch auf wenig bekannte Anwendungen innerhalb der Botanik, Kristallografie, Mechanik und Psychologie. Des weiteren werden bislang kaum bzw. nicht in Buchform dargestellte Themen behandelt wie: Natürliche Geometrie von J. Hjelmslev, Beweis des Parallelenaxioms nach P. Lorenzen (konstruktive euklidische Geometrie), Imaginärtheorie nach L. Locher–Ernst, Wegkurven und Wegflächen, Koordinatisierung der Cayley–Klein-Ebenen. Das Buch ist soweit wie möglich elementar gehalten; nur eine Vertrautheit mit mathematischer Argumentation sowie Grundkenntnisse der euklidischen Geometrie werden vorausgesetzt.

2009. Etwa 450 S. Geb.EUR (D) 44.95 / EUR (A) 46.21 / CHF 75.–ISBN 978-3-7643-9901-6

Einführung in die FunktionentheorieWeyl, H. / bearbeitet von Meyer, R., Universität Göttingen

Dieser Text ist die Transkription einer Vorlesung zur Funktionentheorie, die Hermann Weyl im Wintersemester 1910–11 an der Universität Göttingen gehalten hat, kurz vor der Entstehung seines einflussreichen Buches über Riemannsche Flächen, das auf der Fortsetzung dieser Vorlesung im Sommersemester 1911 beruht. Weyl betont in dieser Vorlesung die kinematische Deutung gebrochen-linearer Transformationen und die Beziehungen zwischen konformen Abbildungen und Strömungstheorie. Höhepunkt der Vorlesung ist der Vergleich der Riemannschen und Weierstraßschen Behandlung mehrdeutiger analytischer Funktionen durch Riemannsche Flächen beziehungsweise analytische Fortsetzung.


Erhabene Welten Das Leben Rolf Nevanlinnas Lehto, O., Helsinki, Finnland

Vita Mathematica, Vol. 14

Rolf Nevanlinna (1895–1980) war ein weltberühmter Mathematiker, eine umstrittene politische Gestalt, eine Autorität auf dem Gebiet der Kultur und eine charismatische Persönlichkeit. In allen Phasen seines Lebens waren die Mathematik und die Musik seine Leitsterne. “Man muss sein Leben der Arbeit widmen und nach den erhabenen Welten streben” war sein Motto. Durch die Entwicklung der später nach ihm benannten Nevanlinna-Theorie erlangte er in den 1920er Jahren Weltruf. Er wurde zum Professor der Universität Zürich berufen und zum Präsidenten der Internationalen


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Mathematischen Union gewählt. Er blieb bis zu seinem Lebensende eine einflussreiche Kulturpersönlichkeit und zeichnete sich insbesondere als Sibelius-Spezialist aus.Professor Olli Lehto (Helsinki), der Autor dieser umfassenden Biographie, kannte Rolf Nevanlinna über viele Jahrzehnte, zunächst als Student, dann als Assistent und schließlich als Kollege. Das Buch gibt tiefgehende Einblicke in das Leben eines genialen Mathematikers und in die wechselvolle Geschichte Finnlands.

2008. 310 S. Geb.EUR (D) 99.– / EUR (A) 101.77 / CHF 159.– ISBN 978-3-7643-7701-4

Von Zahlen und Grössen Dritthalbtausend Jahre Theorie und Praxis Band 1 Lüneburg, H., Universität Kaiserslautern

Dieses Buch handelt von Mathematik und ihrer Geschichte. Die sorgfältige Analyse dessen, was die Alten bewiesen – meist sehr viel mehr, als sie ahnten –, führt zu einem besseren Verständnis der Geschichte und zu einer guten Motivation und einem ebenfalls besseren Verständnis heutiger Mathematik. Die Themen des ersten Bandes reichen von der Konstruktion der reellen Zahlen mittels dedekindscher Schnitte bis hin zum Fundamentalsatz der Algebra. Dazwischen werden die Bücher V bis X der euklidischen Elemente abgehandelt, wobei insbesondere die eudoxische Proportionenlehre (Buch V) eine zentrale Rolle spielt. Sie bietet einen eleganten Zugang zu den Logarithmen, so dass auch Neper ausführlich zu Wort kommt. Weitere Themen sind die natürlichen Zahlen und das Induktionsprinzip; die Entdeckung der Lösungsformeln der Gleichungen dritten und vierten Grades; Polynomringe in beliebig vielen Unbestimmten; symmetrische Polynome und der Satz von Waring.

2008. XXII, 655 S. Geb.EUR (D) 99.– / EUR (A) 101.77 / CHF 159.– ISBN 978-3-7643-8776-1

Von Zahlen und Grössen Dritthalbtausend Jahre Theorie und Praxis Band 2 Lüneburg, H., Universität Kaiserslautern

Der zweite Band beginnt mit der großen Arbeit von Lagrange von 1770/71, die später Galois inspirierte. Um sie zu verstehen, benötigt man den Begriff der Resultanten von Polynomen. Dieser wird bereitgestellt, zusammen mit Algorithmen zu ihrer Berechnung, die aus dem 20. Jahrhundert stammen. Zentral sind dann Arbeiten von Steinitz und Galois. Für diese werden transfiniten Methoden und Gruppen sowie der Geschichte beider Themen entsprechender Raum gewidmet. Viel gesagt wird auch über die Kreisteilungspolynome. Um die Transzendenz von Pi zu beweisen, werden schließlich auch noch topologische Methoden behandelt.

2008. VII, 627 S. Geb.EUR (D) 99.– / EUR (A) 101.77 / CHF 159.– ISBN 978-3-7643-8778-5

Set: Band 1 und 2

Von Zahlen und GrössenDritthalbtausend Jahre Theorie und PraxisLüneburg, H., Universität Kaiserslautern

2009. 1312 S. Set (Band 1 und 2). EUR (D) 159.– / EUR (A) 163.46 / CHF 259.– ISBN 978-3-7643-8780-8

Eine kleine Nachtphysik Geschichten aus der Physik Rößler, W., Linz

Die Physik besitzt eine eigene Geschichte. Eine Geschichte, die geprägt ist von Erfolg und Scheitern, Hoffnung und zerschlagenen Träumen, Missgunst und Neid, Großzügigkeit und Charakterstärke, schöpferischem Denken und einfacher Menschlichkeit.Der Autor erzählt in allgemein verständlicher


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das Leben des genialen Baslers nach, der vor 300 Jahren geboren wurde, mit zwanzig Jahren seine Heimatstadt verliess – und nie wieder zurückkehrte.

2007. 45 S. Geb.EUR (D) 19.90 / EUR (A) 20.46 / CHF 28.– ISBN 978-3-7643-7779-3

Titel in englischer Sprache:Seite 125.

Grundkurs Mathematik in den BiowissenschaftenBraunß, H.-A. / Junek, H. / Krainer, T.

Das vorliegende Lehrbuch wendet sich speziell an Studierende biowissenschaftlicher Fachrichtungen und trägt den Anforderungen der neuen Bachelor-Studienabschlüsse Rechnung. Es eignet sich sowohl als Referenz als auch als Begleitbuch für einen 1–2 semestrigen Kurs. Im Zentrum stehen Funktionen in einer reellen Variablen und ihre Anwendungen in den Biowissenschaften, insbesondere Fourieranalyse und Differentialgleichungsmodelle. Eine Vielzahl von Aufgaben dient der Vertiefung und aktiven Aneignung des Stoffes.

2007. 206 S. 63 Abb. Brosch.EUR (D) 22.– / EUR (A) 22.62 / CHF 33.– ISBN 978-3-7643-7709-0

Elemente der MusikinformatikMazzola, G.B.

“Kaum jemand wäre prädestinierter als G. Mazzola, um kompetent in diese Thematik einzuführen. Da das Buch auf seinen Vorlesungen basiert, die sich in der Kommunikation mit Studierenden bewähren mußten, ist auch ein hoher Verständlichkeitsgrad gewährleistet.”— Bernd Enders, Universität Osnabrück

2006. X, 245 S. 168 Abb. Brosch.EUR (D) 29.90 / EUR (A) 30.73 / CHF 48.– ISBN 978-3-7643-7745-8

Sprache von großen Ideen der Physik und insbesondere von den Menschen, die sie schufen. Der Bogen ist dabei weit gespannt. Von Newton und Galilei zu Einstein, Feynman, Fermi und Bohr. Von Faraday und Maxwell zu Schrödinger, Dirac, Heisenberg und Pauli. Von den ersten Anfängen der Wissenschaft in der Antike zu den Fragen nach dem Wesen von Raum und Zeit und der Natur von Licht und Wärme. Von der Entdeckung des Atoms zur Formulierung der Quantenmechanik. Von Beobachtungen des Sternenhimmels zu grundlegenden Entdeckungen und Gedanken der modernen Astronomie und Kosmologie.Die Ideen mögen mitunter abstrakt sein, aber die Physik selbst, als eine ganz eigene Art, die Welt zu sehen, ist voller Leben – und Menschlichkeit. Davon erzählt dieses Buch.

1. Aufl. 2007. Korr. Nachdruck 2007. X, 275 S. Geb.EUR (D) 19.90 / EUR (A) 20.46 / CHF 29.90 ISBN 978-3-7643-7743-4

Leonhard Euler Ein Mann, mit dem man rechnen kann Heyne, A.K. / Heyne, A.K. (Text) Pini, E.S. (Zeichnungen)

In seinem Kopf stellte er die mathematische Welt auf den Kopf. Er berechnete Flüssigkeitsströmungen, das Trägheitsmoment, entwickelte die Variationsrechnung und die moderne Zahlentheorie. Als Wissenschaftler steht er auf einer Stufe mit Newton und Einstein.Konstrukteure in aller Welt arbeiten tagtäglich mit seinen Formeln – egal ob es um den Schiffsrumpf der “Alinghi” geht oder um die Schwingungen des “Viaduc de Millau”, der Welt höchster Autobahnbrücke.Dabei war er ein Mensch, der bürgerliche Behaglichkeit und Ruhe liebte. Nicht ganz einfach zur Gründungszeit von St. Petersburg inmitten russischer Kaisermorde oder im Berlin zur Zeit der schlesischen Kriege. Und erst recht nicht inmitten einer grossen Kinderschar. Der Comic von Elena Pini (Graphik) und Alice und Andreas K. Heyne (Text) zeichnet

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Berechenbares Chaos in dynamischen SystemenStoop, R. / Steeb, W.H.

2006. XII, 264 S. Brosch.EUR (D) 29.90 / EUR (A) 30.73 / CHF 45.– ISBN 978-3-7643-7550-8

Der jugendliche Einstein und Aarau Einsteins letztes Schuljahr - Relativität, Brownsche Bewegung, Lichtquanten und Astrophysik Hunziker, H. (Ed.)

"Wer sich darauf einlässt, wird schwitzen, aber auch an Einblick gewinnen". — Aargauer Zeitung

2005. IX, 205 S. Brosch.EUR (D) 24.– / EUR (A) 24.67 / CHF 35.–ISBN 978-3-7643-7444-0

Die Gleichungen der Physik Meilensteine des Wissens Bais, S.

“Der Autor beschränkt sich bewusst darauf, allgemeine Zusammenhänge verbal zu erläutern, was ihm sehr gut gelungen ist. Man hat immer den Eindruck, dass der Text von einem Kenner der modernen Physik verfasst worden ist, der seine Kenntnisse in den Dienst an den Leser stellt. Vor dem Leser wir ein farbenprächtiges Gemälde entfaltet, das die Einheit und Schönheit der Physik betont und dieser Wissenschaft sicherlich neue Freunde gewinnen wird. Ich denke, dass auch Studenten der Physik von diesem Büchlein profitieren werden, weil es ihren Blick für die Physik als Ganzes schärft.” — Physik Journal


GraßmannPetsche, H.-J.

Vita Mathematica, Vol. 13

“Mathematische Allgemeinbildung ist weitgehend ausreichend für das Verständnis des sehr gehaltvollen und empfehlenswerten Textes.” — ekz-Bibliotheksservice / Informationsdienst

2006. XXII, 326 S. 47 Abb. Geb.EUR (D) 58.– / EUR (A) 59.63 / CHF 88.– ISBN 978-3-7643-7257-6

Traumjob Mathematik! Berufswege von Frauen und Männern in der Mathematik Abele, A.E. / Neunzert, H. / Tobies, R.

“Nicht alle Schüler lieben den Mathematikunterricht. Doch auch jene, die durchaus von diesem Fach begeistert sind, scheuen in den meisten Fällen ein entsprechendes Hochschulstudium. …Doch eine interdisziplinäre Studie belegt: es lohnt sich, Mathematik zu studieren. …Dieses Buch stellt Ergebnisse der Studie vor und zeichnet interessante Biographien von Mathematiker(inne)n nach. Schüler(innen), die gut in Mathematik sind, sollten dieses Buch unbedingt lesen – und vielleicht auch deren Eltern.” — Die Welt

2004. IX, 192 S. Brosch.EUR (D) 28.– / EUR (A) 28.79 / CHF 44.– ISBN 978-3-7643-6749-7

Wissenschaft zwischen Qualitas und QuantitasNeuenschwander, E. (Hrsg.)

“Durch die Vielfalt der Themen – antike Philosophie, Keplers Weltharmonik, Farbenlehre bei Newton und Goethe / Chemie, Physik, Mathematik und Medizin (um nur einige zu nennen) – ist für jeden wissenschaftshistorisch Interessierten etwas dabei.” — Wurzel

2003. IX, 444 S. Geb.EUR (D) 84.– / EUR (A) 86.35 / CHF 128.– ISBN 978-3-7643-5383-4

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Optimierung, Operations Research, Spieltheorie Mathematische Grundlagen Borgwardt, K.H.

Das vorliegende Buch gibt eine mathematisch fundierte Einführung in die vier Themenbereiche lineare Optimierung, nichtlineare Optimierung, ganzzahlige und kombinatorische Optimierung sowie Spieltheorie. Es basiert auf Vorlesungen des Autors, die er während vielen Jahren gehalten hat.

2001. 642 S. Brosch.EUR (D) 47.50 / EUR (A) 48.83 / CHF 68.–ISBN 978-3-7643-6519-6

Einführung in die mathematische Behandlung der Naturwissenschaften 1Storrer, H.H.

Birkhäuser Skripten, Vol. 2

Das Skript ist für Studierende der Naturwissenschaften gedacht, die eine einführende Mathematikvorlesung besuchen. Behandelt werden Differential- und Integralrechnung von einer und von mehreren Variablen einschliesslich Differentialgleichungen 1. Ordnung und etwas Vektorrechnung. In einem Anhang sind zudem die wichtigsten Grundlagen aus der Mathematik der Gymnasialstufe zusammengestellt. Erfahrungsgemäss kann der Stoff in seinen wesentlichen Teilen in einem Semster bewältigt werden. Besonderer Wert wird auf die ausführlichen Erläuterung aller vorkommender Begriffe und auf ihre Anwendung in Beispielen gelegt. Das Schwergewicht liegt dabei primär auf den praktischen Bedürfnissen der Benutzer von mathematischen Methoden und weniger auf dem theoretischen Hintergrund. Die vorliegende Neuauflage wurde durch Übungsaufgaben mit Lösungen ergänzt.

3., überarb. u. erw. Aufl. 1992. 5., korr. Nachdruck. 480 S. Brosch.EUR (D) 34.– / EUR (A) 34.96 / CHF 49.50 ISBN 978-3-7643-2810-8

Einführung in die mathematische Behandlung der Naturwissenschaften 2Storrer, H.H.

Birkhäuser Skripten, Vol. 8

Dieses Skript bildet die Grundlage einer einsemestrigen zweistündigen, einführenden Vorlesung in Stochastik für Studierende mit den Hauptfächern Biologie, Geologie und Geographie an der Universität Zürich. Den Erfahrungen der Praxis folgend, wird nicht so sehr Wert auf eine grosse Stoffülle, als auf eine ausführliche und sorgfältige Darstellung der Grundbegriffe gelegt. Entsprechend breit sind die Erläuterungen und Beispiele gehalten. Der Inhalt umfasst beschreibende Statistik, Wahrscheinlichkeitsrechnung und beurteilende Statistik, insbesondere Konfidenzintervalle, t-Test und x2-Quadrat-Test. Das Buch enthält über 200 Übungsaufgaben mit vollständig durchgerechneten Lösungen.

1. Aufl. 1995. Korr. Nachdruck. 1995. 369 S. Brosch.EUR (D) 29.90 / EUR (A) 30.73 / CHF 46.90 ISBN 978-3-7643-5325-4

Algebraische GeometrieBrodmann, M.

1989. Geb.EUR (D) 29.95 / EUR (A) 30.79 / CHF 44.90 ISBN 978-3-7643-1779-9

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Series in Pure and Applied Mathematics

Advanced Courses in Mathematics - CRM BarcelonaSeries Editor: Casacuberta, C.

Since 1995 the Centre de Recerca Matemàtica (CRM) has organised a number of Advanced Courses at the post-doctoral or advanced graduate level on forefront research topics in Barcelona. The books in this series contain revised and expanded versions of the material presented by the authors in their lectures.

Combinatorial Number Theory and •

Additive Group Theory 7Contemporary Cryptology 110•

Global Riemannian Geometry: Curvature •

and Topology 59Group-based Cryptography 14•

Kolmogorov Equations for Stochastic •

PDEs 71Limit Cycles of Differential Equations 69•

Numerical Solutions of Partial Differential •

Equations 98Polynomial Identity Rings 17•

Proper Group Actions and the Baum-•

Connes Conjecture 28Ramsey Methods in Analysis 58•

String Topology and Cyclic Homology 27•

Symplectic Geometry of Integrable •

Hamiltonian Systems 29The Geometry of the Word Problem for •

Finitely Generated Groups 16

Advances in Mathematical Fluid MechanicsSeries Editors: Galdi, G.P., University of Pittsburgh, USA / Heywood, J.G., University of British Columbia, Vancouver, Canada / Rannacher, R., University of Heidelberg, Germany

Advances in Mathematical Fluid Mechanics is a forum for the publication of high quality monographs, or collections of works, on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. Its mathematical aims and scope are similar to those of the Journal of Mathematial Fluid Mechanics. In particular, mathematical aspects of computational methods and of applications to science and engineering are welcome as an important part of the theory. So also are works in related areas of mathematics that have a direct bearing on fluid mechanics.

Analysis and Simulation of Fluid •

Dynamics 69Conformal and Potential Analysis in Hele-•

Shaw Cells 70New Directions in Mathematical Fluid •

Mechanics 86Singular Limits in Thermodynamics of •

Viscous Fluids 65

Applied and Numerical Harmonic AnalysisSeries Editor: Benedetto, J.J., University of Maryland, College Park, MD, USA

Applied and Numerical Harmonic Analysis publishes works in harmonic analysis as well as in engineering and scientific subjects having a significant harmonic analysis component. The interface among applied mathematics, science, and engineering is the theme of all books in the series.Harmonic analysis is a wellspring of ideas and appli-cability in mathematics, engineering, and the sciences that has flourished, evolved, and deepened with continued research and exploration. The intricate and fundamental relationship between harmonic analysis and general disciplines such as signal pro-cessing, partial differential equations, and image processing is reflected in this series.

For a complete description of all Birkhäuser series and a list of published books in each series, please visit www.birkhauser.ch

Series Index

140

Series Index

A Software-Defined GPS and Galileo •

Receiver 103Advances in Mathematical Finance 96•

An Introduction to Frames and Riesz •

Bases 59An Introduction to Wavelet Analysis 99•

Approximation Theory 58•

Explorations in Hormonic Analysis 38•

Foundations of Time-Frequency •

Analysis 104Four Short Courses on Harmonic •

Analysis 35Fourier Analysis on Finite Abelian •

Groups 32Frames and Bases 49•

Ideal Sequence Design in Time-Frequency •

Space 101Introduction to Partial Differential •

Equations with MATLAB 72Mathematics for Multimedia 86•

Methods of Applied Mathematics with a •

MATLAB Overview 99Recent Developments in Real and •

Harmonic Analysis 36Representations, Wavelets, and •

Frames 49Stochastic Models, Information Theory, •

and Lie Groups, Volume I 85Wavelet Analysis and Applications 54•

Autonomic SystemsSeries Editors: Brazier, F.M.T., VU University, Amsterdam, The Netherlands / Rana, O.F., Cardiff University, Cardiff, UK / Strassner, J.C., Waterford Institute of Technology, Waterford, Ireland

The Autonomic Systems book series provides a platform of communication between academia and industry by publishing research monographs, outstanding PhD theses, and peer-reviewed compiled contributions on the latest developments in the field of autonomic systems.It covers a broad range of topics from the theory of autonomic systems that are researched by academia and industry. Hence, cutting-edge research, prototypical case studies, as well as industrial

applications are in the focus of this book series. Fast reviewing provides a most convenient way to publish latest results in this rapid moving research area.

Economic Models and Algorithms for •

Distributed Systems 105Autonomic Clustering of Distributed •

Agents 105

Birkhäuser Advanced TextsSeries Editors: Amann, H., University of Zürich, Switzerland / Krantz, S.G., Washington University, St. Louis, USA / Kumar, S., University of North Carolina at Chapel Hill, Chapel Hill, USA / Nekovár, J., University Pierre et Marie Curie (Paris VI), France

This series presents, at an advanced level, introductions to some of the fields of current interest in mathematics. Starting with basic concepts, fundamental results and techniques are covered, and important applications and new developments discussed. The textbooks are suitable as an introduction for students and non–specialists.

Elements of Nonlinear Analysis 72•

Elliptic Equations: An Introductory •

Course 65Growth Theory of Subharmonic •

Functions 48Methods of Nonlinear Analysis 54•

Observation and Control for Operator •

Semigroups 73Real Analysis 60•

Superlinear Parabolic Problems 69•

Symplectic Invariants and Hamiltonian •

Dynamics 27The Navier-Stokes Equations 60•

Control EngineeringSeries Editor: Levine, W.S., University of Maryland, College Park, USA

Control engineering is an increasingly diverse subject, whose technologies range

141

from simple mechanical devices to complex electro-mechanical systems. Applications are seen in everything from biological control systems to the tracking controllers of CD players. Some methods, H-infinity design for example, for the analysis and design of control systems are based on sophisticated mathematics while others, such as PID control, are understood and implemented through experimentation and empirical analysis.

Control and Optimization of Multiscale •

Process Systems 101Estimation and Control over •

Communication Networks 102Fuzzy Modeling and Fuzzy Control 104•

Handbook of Networked and Embedded •

Control Systems 104Hybrid Dynamical Systems 28•

PID Controllers for Time-Delay Systems •

104Stability of Time-Delay Systems 104•

CornerstonesSeries Editors: Epstein, C.L., University of Pennsylvania, Philadelphia, USA / Krantz, S.G., Washington University, St. Louis, USA

Cornerstones comprises textbooks that focus on what students need to know and what faculty should teach regarding various selected topics in pure and applied mathematics and related subjects. Aimed at aspiring young mathematicians at the advanced undergraduate to the second-year graduate level, books that appear in this series are intended to serve as the definitive advanced texts for the next generation of mathematicians. By enlisting only expert mathematicians and leading researchers in each field who are top-notch expositors with established track records, Cornerstones volumes are models of clarity that provide authoritative modern treatments of the essential subjects of pure and applied mathematics while capturing the beauty and excitement of mathematics for the reader.

Advanced Algebra 15•

Advanced Real Analysis 58•

Basic Algebra 15•

Basic Real Analysis 58•

Geometric Function Theory 55•

Geometric Integration Theory 49•

Edizioni della NormaleBirkhäuser has taken over the international distribution of the English-language scientific titles of the Edizioni della Normale. The Edizioni della Normale are published by the Scuola Normale Superiore (SNS), the internationally renowned study and research centre in Pisa, Italy.

Colloquia: Vol. 2. Colloquium De Giorgi 2007 and •

2008 40CRM Series:

Vol. 3. Maps into manifolds and currents: •

area and W1,2-, W1/2-, BV-energies 55 Vol. 5. Para-Differential Calculus and •

Applications to the Cauchy Problem for Nonlinear Systems 67Vol. 6. Ettore Majorana 122•

Vol. 7. Mathematical Methods in •

Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT) 93Vol. 8. Quantum Information and Many •

Body Quantum Systems 108Vol. 9. Singularities in Nonlinear Evolution •

Phenomena 41Lecture Notes:

Vol. 2. An introduction to the regularity •

theory for elliptic systems, harmonic maps and minimal graphs 70 Vol. 3. Lectures on complex analysis and •

analytic geometry 55 Vol. 5. Lectures on the ElectroWeak •

Interactions 89 Vol. 7. Introduction to Stochastic Analysis •

and Malliavin Calculus 64Vol. 8. Lecture Notes on Diophantine •

Analysis 42 Vol. 9. Interpolation Theory 41•

Geometry of Yang-Mills fields 91•

Superior:Vol. 4. Diophantine Geometry 25•

Series Index

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Theses: Vol. 4. Variational Problems in Transport •

Theory with Mass Concentration 109Vol. 5. Quantum Gases in Quasi-One-•

Dimensional Arrays 89Vol. 6. On the First-Order Theory of Real •

Exponentiation 23 Vol. 7. Submanifolds in Carnot Groups 23 •

Vol. 9. Extension problems in complex and •

CR-geometry 45Vol. 10. Kolmogorov Operators in Spaces of •

Continuous Functions and Equations for Measures 66Vol. 12. The Flow Associated to Weakly •

Differentiable Vector Fields 43

Frontiers in MathematicsAdvisory Board: Bunimovich, L., Georgia Institute of Technology, Atlanta, USA / Perthame, B., Ecole Normale Supérieure, Paris, France / Saloff-Coste, L., Cornell University, Rhodes Hall, USA / Shparlinski, I., Macquarie University, Sydney, Australia / Sprössig, W., TU Bergakademie Freiberg, Germany / Villani, C., Ecole Normale Supéreure, Lyon, France

This series is designed to be a repository for up-to-date research results which have been prepared for a wider audience. Graduates and postgraduates as well as scientists will benefit from the latest developments at the research frontiers in mathematics and at the “frontiers” between mathematics and other fields like computer science, physics, biology, economics, finance, etc. All volumes are online available at SpringerLink.

Applied Pseudoanalytic Function •

Theory 64Approximation of Additive Convolution-•

Like Operators 51Artinian Modules over Group Rings 16•

Extremum Problems for Eigenvalues of •

Elliptic Operators 57Flag-transitive Steiner Designs 20•

Functional Identities 16•

Infinite Matrices and their Finite •

Sections 56Invariant Probabilities of Markov-Feller •

Operators and Their Supports 82Lifting Modules 16•

Nonlinear Stability of Finite Volume •

Methods for Hyperbolic Conservation Laws 71q-Clan Geometries in Characteristic 2 25•

Regularity and Substructures of Hom 13•

Schwarz-Pick Type Inequalities 44•

The Hardy Space of a Slit Domain 35•

The Mathematics of Minkowski •

Space-Time 23Transport Equations in Biology 94•


Algebra 133•

Analysis I 132•

Analysis II 132•

Analysis III 132•

Elementare Zahlentheorie 132•

Funktionentheorie in der Ebene und im •

Raum 133Lineare Algebra und Analytische •

Geometrie 133

International Series of Numerical MathematicsManaging Editors: Hoffmann, K.-H., Technische Universität München, Germany / Leugering, G., Universität Erlangen-Nürnberg, Germany

International Series of Numerical Mathematics is open to all aspects of numerical mathematics. Some of the topics of particular interest include free boundary value problems for differential equations, phase transitions, problems of optimal control and optimization, other nonlinear phenomena in analysis, nonlinear partial differential equations, efficient solution methods, bifurcation problems and approximation theory. When possible, the topic of each volume is discussed from three different angles, namely those of

Series Index

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mathematical modeling, mathematical analysis, and numerical case studies.

Vol. 150. Nonlinear Smoothing and •

Multiresolution Analysis 57Vol. 153. Nonlinear Partial Differential •

Equations with Applications 70Vol. 155. Control of Coupled Partial •

Differential Equations 69Vol. 156. Singularly Perturbed Boundary-•

Value Problems 69Vol. 157. Inequalities and Applications 98•

Vol. 158. Optimal Control of Coupled •

Systems of Partial Differential Equations 63

Lectures in Mathematics ETH Zürich

Each year the Eidgenössische Technische Hochschule (ETH) at Zürich invites a selected group of mathematicians to give postgraduate seminars in various areas of pure and applied mathematics. These seminars are directed to an audience of many levels and backgrounds. Now some of the most successful lectures are being published for a wider audience through the Lectures in Mathematics, ETH Zürich series. Lively and informal in style, moderate in size and price, these books will appeal to professionals and students alike, bringing a quick understanding of some important areas of current research.

Adaptive Finite Element Methods for •

Differential Equations 71Canonical Metrics in Kähler Geometry 28•

Compact Riemann Surfaces 114•

Counting, Sampling and Integrating: •

Algorithms and Complexity 83Gradient Flows 52•

Hyperbolic Systems of Conservation •

Laws 72Introduction to the Baum-Connes •

Conjecture 28Numerical Methods for Conservation •

Laws 100

Optimal Stopping and Free-Boundary •

Problems 82The Geometry of the Group of Symplectic •

Diffeomorphism 114

Linear Operators and Linear SystemsA subseries of: Operator Theory: Advances and ApplicationsSubseries Editors: Alpay, D., Ben Gurion University of the Negev, Beer-Sheeva, Israel / Ball, J.A., Virginia Tech, Blacksburg, USA / Ran, A.C.M., Vrije University of Amsterdam, The Netherlands

The theory of linear operators has had an important influence on the development of mathematical systems theory. On the other hand, mathematical systems theory serves as a direct source of motivation and new techniques for the theory of linear operators and its applications. The subseries Linear Operators and Linear Systems (LOLS) is dedicated to these connections between the theory of linear operators and the mathematical theory of linear systems. LOLS will continue in the tradition of the series Operator Theory: Advances and Applications and maintain the high quality of the volumes. Books published in LOLS will be either monographs or consist of essays presenting the state of the art and new results.

Vol. 178. Factorization of Matrix and •

Operator Functions: The State Space Method 53 Vol. 182. Exponentially Dichotomous •

Operators and Applications 52

Mathematics: Theory & ApplicationsSeries Editor: Wallach, N., University of California, San Diego, USA

Mathematics: Theory and Applications is a series of advanced level monographs and graduate textbooks that are designed to be

Series Index

144

of lasting value in the archival literature and to professional mathematicians and graduate students as comprehensive treatments of the subjects they cover.

Riemannian Geometry 29•

Topics in the Theory of Algebraic Function •

Fields 9

Mathematik KompaktSeries Editors: Brokate, M., Technische Universität München, Germany / Engl, H.W., Österreichische Akademie der Wissenschaften Linz , Austria / Hoffmann, K.-H., Technische Universität München, Germany / Kersting, G., Universität Frankfurt, Germany / Stroth, G., Universität Halle, Germany / Welzl, E., ETH Zürich ETH Zürich, Switzerland

Diese Lehrbuchreihe ist eine Reaktion auf die Umstellung der Diplomstudiengänge in Mathematik zu Bachelor- und Masterabschlüssen. Inhaltlich werden unter Berücksichtigung der neuen Studienstrukturen die aktuellen Entwicklungen des Faches aufgegriffen und kompakt dargestellt. Die modular aufgebaute Reihe richtet sich an Dozenten und Studierenden in Bachelor- und Masterstudiengängen und alle, die einen kompakten Einstieg in aktuelle Themenfelder der Mathematik suchen.Zahlreiche Beispiele und Übungsaufgaben stehen zur Verfügung, um die Anwendung der Inhalte zu veranschaulichen.

Algorithmische Methoden 130•

Codierungstheorie und Kryptographie 131•

Diskrete Mathematik 128•

Einführung in die Finanzmathematik 129•

Elementare Stochastik 131•

Maß und Integral 128•

Mathematische Logik 129•

Mathematische Modelle in der Biologie 131•

Mathematische Modellierung 127•

Numerische Mathematik 130•

Zufallsvariable und Stochastische •

Prozesse 131

Modeling and Simulation in Science, Engineering and TechnologySeries Editor: Bellomo, N., Politecnico di Torino, Torino, Italy

The series publishes advanced textbooks, expository monographs, problem-solving guides, handbooks, and general references. Books examine and utilize the modeling and simulation of systems in applied sciences, mathematics, and engineering. The goal is to create a bridge between applied mathematicians, scientists, and research engineers utilizing modeling methods, tools, and techniques for complex problem solving. The general framework is that of applied and industrial mathematics.The series aim is to provide general science and engineering readerships with the essential (and practical) methodological information on modeling methods while developing guidelines to formulate and solve technical problems.

Circuit Simulation with SPICE OPUS 101•

Continuum Mechanics using •

Mathematica® 90Data Modeling for Metrology and Testing in •

Measurement Science 97Generalized Collocation Methods 92•

Mathematical Modeling of Complex •

Biological Systems 95Mathematical Modeling of Biological •

Systems, Volume I 94Mathematical Modeling of Biological •

Systems, Volume II 94Modeling Complex Living System 93•

Modeling of Biological Materials 94•

Molecular Gas Dynamics 90•

Selected Topics in Cancer Modeling 93•

Transport Phenomena and •

Kinetic Theory 94

Modern Birkhäuser Classics

Many of the original research and survey monographs in pure and applied

Series Index

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mathematics published by Birkhäuser in recent decades have been groundbreaking and have come to be regarded as foundational to the subject. Through the MBC Series, a select number of these modern classics, entirely uncorrected, are being re-released in paperback (and as eBooks) to ensure that these treasures remain accessible to new generations of students, scholars, and researchers.

A History of Algebraic and Differential •

Topology, 1900–1960 121Algebraic K-Theory 25•

Algorithms and Programming 108•

An Introduction to the Mechanics of •

Fluids 103Bernhard Riemann 1826-1866 123•

Beyond the Quartic Equation 14•

Classic Papers in Combinatorics 8•

Differentiable Manifolds 24•

Discrete Thoughts 113•

Discriminants, Resultants, and •

Multidimensional Determinants 15H-Infinity Optimal Control and Related •

Minimax Design Problems 75Hyperbolic Manifolds and Discrete •

Groups 22Indiscrete Thoughts 113•

Intersection Cohomology 24•

Knot Theory and Its Applications 25•

Linear Algebraic Groups 14•

Linear Differential Equations and Group •

Theory from Riemann to Poincare 24Linear Programming 107•

Logic for Computer Scientists 5•

Loop Spaces, Characteristic Classes and •

Geometric Quantization 25Mathematical Control Theory 76•

Mathematics for the Analysis of •

Algorithms 109Metric Structures for Riemannian and •

Non-Riemannian Spaces 26Notions of Convexity 54•

Number Theory 9•

Optimal Control and Viscosity Solutions of •

Hamilton-Jacobi-Bellman Equations 75Perspectives on the History •

of Mathematical Logic 123Riemann, Topology, and Physics 123•

Robust Nonlinear Control Design 75•

Set-Valued Analysis 74•

Tata Lectures on Theta I 55•

Tata Lectures on Theta II 55•

Tata Lectures on Theta III 55•

The Grothendieck Festschrift, •

Volume I 26The Grothendieck Festschrift, •

Volume II 26The Grothendieck Festschrift, •

Volume III 26The Non-Euclidean Revolution 24•

Topics from the Theory of Numbers 8•

Viability Theory 22•

Monografie Matematyczne Managing Editor: Wojtaszczyk, P., IMPAN and Warsaw University, Poland

Starting in the 1930s with volumes written by such distinguished mathematicians as Banach, Saks, Kuratowski, and Sierpinski, the original series grew to comprise 62 excellent monographs up to the 1980s. In cooperation with the Institute of Mathematics of the Polish Academy of Sciences (IMPAN), Birkhäuser now resumes this tradition to publish high quality research monographs in all areas of pure and applied mathematics.

Vol. 67. The Monodromy Group 27•

Vol. 68. Shift-invariant Uniform Algebras •

on Groups 57Vol. 69. The Bartle-Dunford-Schwartz •

Integral 51

Monographs in MathematicsManaging Editors: Amann, H., Universität Zürich, Switzerland / Bourguignon, J.-P., IHES, Bures-sur-Yvette, France / Grove, K., University of Maryland, College Park, USA / Lions, P.-L., Université de Paris-Dauphine, France

The foundations of this outstanding book series were laid in 1944. Until the end of the 1970s, a total of 77 volumes appeared,

Series Index

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including works of such distinguished mathematicians as Carathéodory, Nevanlinna and Shafarevich, to name a few. The series came to its name and present appearance in the 1980s. In keeping its well-established tradition, only monographs of excellent quality are published in this collection.

Vol. 81. Ergodic Theory and Semisimple •

Groups 72Vol. 85. An Introduction to Quantum •

Stochastic Calculus 83Vol. 99. Surface Evolution Equations 70•

Vol. 100. Theory of Function Spaces III 56•

Oberwolfach Seminars

The workshops organized by the Mathematisches Forschungsinstitut Oberwolfach are intended to introduce students and young mathematicians to current fields of research. By means of these well-organized seminars, also scientists from other fields will be introduced to new mathematical ideas. The publication of these workshops in the series Oberwolfach Seminars makes the material available to an even larger audience.

Vol. 25. Lectures on Spaces of Nonpositive •

Curvature 29Vol. 33. The Novikov Conjecture 27•

Vol. 34. The Mathematics of the Bose Gas •

and its Condensation 91Vol. 35. Tropical Algebraic Geometry 19•

Vol. 36. Topological and Bivariant •

K-Theory 25Vol. 37. Hemodynamical Flows 92•

Vol. 38. Discrete Differential Geometry 24•

Vol. 39. Lectures on Algebraic •

Statistics 79Vol. 40. Applications of Teichmüller Theory •

to 3-Manifolds 34Vol. 42. An Introduction to Analysis, •

Adaptivity and Multigrid for Variational Inequalities 92Conformal Differential Geometry 18•

Operator Theory: Advances and ApplicationsSeries Editor: Gohberg, I., School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Israel

This series is devoted to the publication of current research in operator theory, with particular emphasis on applications to classical analysis and the theory of integral equations, as well as to numerical analysis, mathematical physics and mathematical methods in electrical engineering.

Vol. 139. Spectral Theory of Linear •

Operators 53Vol. 166. Symplectic Geometry and •

Quantum Mechanics 28Vol. 169. The Functional Calculus for •

Sectorial Operators 56Vol. 177. Algebraic Multiplicity of •

Eigenvalues of Linear Operators 54Vol. 179. Recent Advances in Matrix and •

Operator Theory 53Vol. 180. Optimal Domain and Integral •

Extension of Operators 50Vol. 181. Operator Algebras, Operator •

Theory and Applications 51Vol. 183. Elliptic Theory and •

Noncommutative Geometry 51Vol. 184 Nonlinear Parabolic- •

Hyperbolic Coupled Systems and Their Attractor 66Vol. 185. Commutative Algebras of •

Toeplitz Operators on the Bergman Space 50Vol. 186. Methods of Spectral Analysis in •

Mathematical Physics 48Vol. 187. Recent Advances in Operator •

Theory and Applications 38Vol. 188. Spectral Theory in Inner Product •

Spaces and Applications 47Vol. 189. New Developments in Pseudo-•

Differential Operators 46Vol. 190 and 191. Modern Analysis and •

Applications 40Vol. 192. Holomorphic Operator •

Functions of One Variable and Applications 37

Series Index

147

Vol. 193. Analysis, Partial Differential •

Equations and Applications 61Vol. 194. Tauberian Operators 36•

Vol. 195. Operator Algebras, Operator •

Theory and Applications 32Vol. 196. Boundary Integral Equations on •

Contours with Peaks 33Vol. 197. Characteristic Functions, •

Scattering Functions and Transfer Functions 34Vol. 198. Recent Advances in Operator •

Theory in Hilbert and Krein Spaces 30Vol. 199 Numerical Methods for Structured •

Matrices and Applications 96Vol. 200. A State Space Approach to •

Canonical Factorization with Applications 30Convolution and Singular Integral •

Equations 31

Probability and its ApplicationsSeries Editors: Newman, C., New York University, USA / Resnick, S.I., Cornell University, Ithaka, USA

Probability and its Applications publishes research-level monographs and advanced graduate texts dealing with all aspects of probability theory and stochastic processes, as well as their connections with and applications to other areas such as mathematical statistics and statistical physics.

Point Process Theory and Applications 82•

Handbook of Brownian Motion - Facts and •

Formulae 83

Progress in Computer Science and Applied LogicSeries Editor: Cherniavski, J.C., National Science Foundation, Washington, USA

A Graph-Theoretic Approach to Enterprise •

Network Dynamics 110

Progress in Mathematical PhysicsEditors-in-Chief: Boutet de Monvel, A., Université Paris VII Denis Diderot, France / Kaiser, G., The Center for Signals and Waves, Austin, TX, U.S.A.

Progress in Mathematical Physics is a book series encompassing all areas of theoretical and mathematical physics. It is intended for mathematicians, physicists, and other scientists, as well as graduate students in the above related areas. This distinguished collection of books includes authored monographs and textbooks, the latter primarily at the senior undergraduate and graduate levels. Edited collections of articles on important research developments or expositions of particular subject areas may also be included.

Vol. 26. Mathematical Methods in •

Physics 59Vol. 41. Slow Rarefied Flows 70•

Vol. 43. Continuum Thermomechanics 91•

Vol. 48. Quantum Decoherence 90•

Vol. 49. Planar Ising Correlations 90•

Vol. 50. Conformal Groups in Geometry and •

Spin Structures 24Vol. 51. Integrable Systems in Celestial •

Mechanics 66Vol. 52. Gravitation and Experiment 90•

Vol. 53. Quantum Spaces 90•

Vol. 54. Intermediate Spectral Theory and •

Quantum Dynamics 89Vol. 55. The Spin 88•

Vol. 56. Spacetime, Geometry and •

Gravitation 87Vol. 57. Entropy and Information 85•

Vol. 58. Propagation of Waves and the •

Equations of Hydrodynamics 33Vol. 59. Counting Surfaces 84•

Series Index

148

Progress in MathematicsSeries Editors: Bass, H., University of Michigan, USA / Oesterlé, J., Institut Henri Poincaré, Université Paris VI, France / Weinstein, A., University of California, Berkeley, USA

Progress in Mathematics is a series of books intended for professional mathematicians and scientists, encompassing all areas of pure mathematics. This distinguished series, which began in 1979, includes research level monographs, polished notes arising from seminars or lecture series, graduate level textbooks, and proceedings of focused and refereed conferences. It is designed as a vehicle for reporting ongoing research as well as expositions of particular subject areas.

Vol. 41 Combinatorics and Commutative •

Algebra 10Vol. 93. Torus Actions on Symplectic •

Manifolds 28Vol. 111. Morse Homology 60•

Vol. 117. Holomorphic Curves in Symplectic •

Geometry 29Vol. 118. Lectures on the Geometry of •

Poisson Manifolds 29Vol. 176. Tree Lattices 11•

Vol. 194. Cohomological Theory of •

Dynamical Zeta Functions 28Vol. 212. Subgroup Growth 17•

Vol. 233. Singular Sets of Minimizers for •

the Mumford-Shah Functional 58Vol. 236. D-Modules, Perverse Sheaves, •

and Representation Theory 14Vol. 240. Perturbation Methods and •

Semilinear Elliptic Problems on Rn 99Vol. 241. On the Topology of Isolated •

Singularities in Analytic Spaces 56Vol. 246. Differential Geometry and •

Analysis on CR Manifolds 26Vol. 249. An Invitation to Quantum •

Cohomology 26Vol. 251. Rigorous Quantum Field •

Theory 90Vol. 254. Holomorphic Morse Inequalities •

and Bergman Kernels 53Vol. 255. Representation Theory and •

Automorphic Forms 15Vol. 256. Spectral Theory of Infinite-Area •

Hyperbolic Surfaces 68Vol. 258. Eisenstein Series and •

Applications 8Vol. 259. An Introduction to the Heisenberg •

Group and the Sub-Riemannian Isoperimetric Problem 26Vol. 261. Polynomial Convexity 54•

Vol. 262. L’isomorphisme entre les tours de •

Lubin-Tate et de Drinfeld 25Vol. 263. Walks on Ordinals and Their •

Characteristics 9Vol. 264. Determinantal Ideals 15•

Vol. 265. Geometry and Dynamics of •

Groups and Spaces 25Vol. 266. Vanishing and Finiteness Results •

in Geometric Analysis 22Vol. 267. Suites de Sturm, indice de Maslov •

et périodicité de Bott 22Vol. 268. Metric Foliations and •

Curvature 20Vol. 271. Riemannian Topology and •

Geometric Structures on Manifolds 21Vol. 272. Dimension and Recurrence in •

Hyperbolic Dynamics 67Vol. 273. Stable Homotopy Around the •

Arf-Kervaire Invariant 21Vol. 274. Frobenius Categories Versus •

Brauer Blocks 13Vol. 275. Families of Conformally Covariant •

Differential Operators, Q-Curvature and Holography 19Vol. 276. Fourier–Mukai and Nahm •

Transforms in Geometry and Mathematical Physics 18Vol. 277. Quantitative Arithmetic of •

Projective Varieties 7

Progress in Nonlinear Differential Equations and Their ApplicationsSeries Editor: Brezis, H., Université de Paris, France, and Rutgers University, USA

Progress in Nonlinear Differential Equations and Their Applications is a book series that lies at the interface of pure and applied mathematics. Many differential equations are motivated by problems arising in

Series Index

149

diversified fields such as mechanics, physics, differential geometry, engineering, control theory, biology and economics. This series is open to both the theoretical and applied aspects, hopefully stimulating a fruitful interaction between the two sides. It will publish monographs, polished notes arising from lectures and seminars, graduate level texts, and proceedings of focused and refereed conferences.

Vol. 16. Analytic Semigroups and Optimal •

Regularity in Parabolic Problems 60Vol. 70. Vortices in the Magnetic Ginzburg-•

Landau Model 69Vol. 72. Selfdual Gauge Field Vortices 67•

Vol. 73. The Maximum Principle 54•

Vol. 74. Nonlinear Oscillations of •

Hamiltonian PDEs 68Vol. 75. Differential Equations, Chaos and •

Variational Problems 68Vol. 76. Global Propagation of Regular •

Nonlinear Hyperbolic Waves 62

Progress in ProbabilitySeries Editors: Newman, C., New York University, USA / Resnick, S. I., Cornell University, Ithaka, USA

Progress in Probability is designed for the publication of workshops, seminars and conference proceedings on all aspects of probability theory and stochastic processes, as well as their connections with and applications to other areas such as mathematical statistics and statistical physics.

Vol. 59. Seminar on Stochastic Analysis, •

Random Fields and Applications V 81Vol. 60. In and Out of Equilibrium 2 80•

Vol. 61. Fractal Geometry and •

Stochastics IV 77Vol. 62. Spin Glasses: Statics and •

Dynamics 78

Pseudo-Differential OperatorsTheory and ApplicationsSeries Editor: Wong, M.W., University of Toronto, Canada

Pseudo-Differential Operators: Theory and Applications is a series of moderately priced graduate-level textbooks and monographs appealing to students and experts alike. Pseudo-differential operators are understood in a very broad sense and include such topics as harmonic analysis, PDE, geometry, mathematical physics, microlocal analysis, time-frequency analysis, imaging and computations. Modern trends and novel applications in mathematics, natural sciences, medicine, scientific computing, and engineering are highlighted.

Vol. 1. Quantization and Arithmetic 22•

Vol. 2. Pseudo-Differential Operators and •

Symmetries 62Vol. 3. Global Pseudo-differential Calculus •

on Euclidean Spaces 61

Statistics for Industry and TechnologySeries Editor: Balakrishnan, N., McMaster University, Hamilton, Canada

Statistics plays a critical role in any modern use of technology in science and industry. Statistical concepts and methods are developed and applied in industries for various problems – for example, in order to monitor the quality of products, to plan effective and efficient designs to improve standards, to test and analyze the quality of items produced, and to accept (reject) conforming (nonconforming) units produced. The increased attention paid to these problems, and accompanying new statistical methodologies, has created an active and valuable new area of research and application-industrial statistics.

Advances in Data Analysis 77•

Series Index

150

Advances in Mathematical and Statistical •

Modeling 79An Introduction to Queueing Theory 80•

Scan Statistics 78•

Statistical Models and Methods for •

Biomedical and Technical Systems 80

Studies in Universal LogicSeries Editor: Béziau, J.-Y., Brazilian Research Council, Fortaleza, Brazil

This series is devoted to the universal approach to logic and the development of a general theory of logics. It covers topics such as global set-ups for fundamental theorems of logic and frameworks for the study of logics, in particular logical matrices, Kripke structures, combination of logics, categorical logic, abstract proof theory, consequence operators, and algebraic logic. It includes also books with historical and philosophical discussions about the nature and scope of logic. Three types of books will appear in the series: graduate textbooks, research monographs, and volumes with contributed papers.

Completeness Theory for Propositional •

Logics 4Institution-independent Model Theory 4•

Universal Algebraic Logic 4•

Systems & Control: Foundations & ApplicationsSeries Editor: Basar, T., University of Illinois, Urbana-Champaign, IL, USA

Systems and Control: Foundations and Applications aims to publish top quality state-of-the-art textbooks and research monographs at the graduate and post-graduate levels in systems, control, and related fields. Books in the series take care to explain and build upon the essential foundational elements of the field. Additionally, established and emerging applications are developed and utilized in

an effort to demonstrate the most recent advances in systems and control. The study spans the gamut of areas from information technology (particularly communication networks), to biotechnology (particularly mathematical biology) and economics.

Advances in Statistical Control, Algebraic •

Systems Theory, and Dynamic Systems Characteristics 74Control of Turbulent and •

Magnetohydrodynamic Channel Flows 75Delay Compensation for Nonlinear, •

Adaptive, and PDE Systems 73Filtering Theory 109•

Numerical Methods for Controlled •

Stochastic Delay Systems 74Representation and Control of Infinite •

Dimensional Systems 76Set-Theoretic Methods in Control 74•

Stability of Dynamical Systems 75•

Switching in Systems and Control 76•

The Mathematics of Internet Congestion •

Control 76

Trends in Mathematics

Trends in Mathematics is a series devoted to the publications of volumes arising from conferences and lecture series focusing on a particular topic from any area of mathematics. Its aim is to make current developments available to the community as rapidly as possible without compromise to quality and to archive these for reference.

Analysis and Mathematical Physics 39•

C*-algebras and Elliptic Theory 56•

C*-algebras and Elliptic Theory II 52•

Combinatorial and Geometric Group •

Theory 12Complex Analysis 31•

Hypercomplex Analysis 45•

Modules and Comodules 14•

Positivity 53•

Ring and Module Theory 12•

Set Theory 5•

Series Index

151

Whitestein Series in Software Agent Technologies and Autonomic ComputingSeries Editors: Walliser, M., Whitestein Technologies, Zürich, Schweiz / Brantschen, S., S. Whitestein Technologies, Zürich, Schweiz / Calisti, M., Whitestein Technologies, Zürich, Schweiz/ Herbstritt, M., Birkhäuser Verlag, Basel, Schweiz

This series reports new developments in agent-based software technologies and agent-oriented software engineering methodologies, with particular emphasis on applications in the area of autonomic computing and communications.The spectrum of the series includes research monographs, high quality notes resulting from research and industrial projects, outstanding Ph.D. theses, and the proceedings of carefully selected conferences. The series is targeted at promoting advanced research and facilitating know-how transfer to industrial use.

Advanced Agent-Based Environmental •

Management Systems 106Advanced Autonomic Networking and •

Communication 109Agent Technology and e-Health 109•

Bidding Strategies in Agent-Based •

Continuous Double Auctions 108CASCOM: Intelligent Service Coordination •

in the Semantic Web 107Defense Industry Applications of •

Autonomous Agents and Multi-Agent Systems 108Emerging Web Services Technology •

Volume III 106Emerging Web Services Technology •

Volume II 107Issues in Multi-Agent Systems 107•

The Agent Modeling Language - AML 110•

Series in History of Science

Contemporary MathematiciansSeries Editor: Kung, J.P. S.

Publishing the collected works of outstanding mathematicians remains a vital tradition in scientific publishing. Very often the works of a mathematician are in a scattered state, published in diffuse forms, and inaccessible. The bringing together of these works and papers into organized, annotated volumes creates a unique opportunity for historical, biographical, and mathematical perspectives to emerge. Present and future generations of mathematicians will find these collected works to be of lasting significance.

Selected Works of A.I. Shirshov 118•

Leonhard Euler, Opera Omnia

Euler’s papers and books are fundamental to every branch of the mathematical sciences. They are clearly and beautifully written, well explained and illustrated by examples. The Opera Omnia belong in any major working library concerned with mathematics and its applications.

Correspondance de Leonhard Euler avec L. •

Bertrand, Ch. Bonnet, J. Castillon, G. Cramer, Ph. Cramer, G. Cuenz, G.L. Lesage, J.M. von Loen et J.K. Wettstein 116

Nexus Network JournalSeries Editor: Williams, K.

Founded in 1999, the Nexus Network Journal (NNJ) is a peer-reviewed journal for researchers, professionals and students engaged in the study of the application of mathematical principles to architectural design. Its goal is to present the broadest possible consideration of all aspects of the relationships between architecture and mathematics, including landscape architecture and urban design.

Series Index

152

Series Index

Nexus Network Journal 11,3 111•







Publications des Archives Henri Poincaré / Publications of the Henri Poincaré Archives

La correspondance entre Henri Poincaré et •

les astronomes et géodésiens 115One Hundred Years of Intuitionism •

(1907–2007) 123

Science Networks. Historical StudiesSeries Editors: Knobloch, E., Technische Universität Berlin, Germany / Kragh, H., University of Aarhus, Denmark / Scholz, E., Bergische Universität, Gesamthochschule Wuppertal, Germany

The publications in this series are limited to the fields of mathematics, physics, astronomy, and their applications. The series is primarily designed to publish monographs. Annotated sources and exceptional biographies might be accepted in rare cases. The series is aimed primarily at historians of science and libraries; it should also appeal to interested specialists, students, and diploma and doctoral candidates.

Vol. 32. Tool and Object 125•

Vol. 33. Geometry and Monadology 125•

Vol. 34. Jacopo da Firenze’s Tractatus •

Algorismi and Early Italian Abbacus Culture 125Vol. 35. Lacroix and the Calculus 123•

Vol. 36. Patterns of Change 124•

Vol. 37. The Moon that Wasn’t 122•

Vol. 38. The World as a Mathematical •

Game 119Vol. 39. The First Professional Scientist •

118

Japanese Mathematics in the Edo Period •

(1600-1868) 117The Algebraic Mind 115•

The Collected Scientific Papers of the Mathematicians and Physicists of the Bernoulli FamilyGeneral Editor: Radelet-de Grave, P., Institut de Physique Théorique, Louvain-la-Neuve, Belgium

Die Werke von Johann I und Nicolaus II •

Bernoulli 124

Vita MathematicaSeries Editor: Fellmann, E.A.

The series Vita Mathematica traces the professional lives of many of the world’s great mathematicians – from antiquity to the present day. These books are written broadly following the same pattern and take into consideration the research carried out on the history of science in recent decades.

Vol. 11. Evariste Galois (1811-1832) 126•

Vol. 13. Graßmann 137 •

Vol. 14. Erhabene Welten 134•

153

Journals

The Journal of Pseudo-Differential Operators and Applications is a forum for high quality papers in the mathematics, applications and numerical analysis of pseudo-differential operators. Pseudo-differential operators are understood in a very broad sense embracing but not limited to harmonic analysis, functional analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and novel applications in engineering, geophysics and medical sciences.

New Journal

Journal of Pseudo-Differential Operators and ApplicationsEditors-in-Chief: Rodino, L., Università di Torino, ItalyWong, M. W., York University, Canada

ISSN: 1662-9981 (print)ISSN: 1662-999X (electronic)2010, Vol. 1 (4 issues)

www.birkhauser.ch/JPDOA

Editorial Board:Agranovich, M., Moscow Institute of Electronics and Mathematics, RussiaBergamasco, A., Universidad de São Paulo, BrazilBoggiatto, P., Università di Torino, ItalyChen, H., Wuhan University, ChinaCohen, L., City University of New York, USAde Gosson, M., University of Vienna, Austriade Hoop, M., Purdue University, USAFernández, C., Universidad de Valencia, SpainFurutani, K., Tokyo University of Science, JapanGalbis, A., Universidad de Valencia, SpainGrafakos, L., University of Missouri-Columbia, USA

Gramchev, T., Università di Cagliari, ItalyHelffer, B., Université Paris-Sud, FranceIosevich, A., University of Missouri-Columbia, USALerner, N., Université Paris 6, FranceMa, L., Tsinghua University, ChinaMorimoto, Y., Kyoto University, JapanOberguggenberger, M., Universität Innsbruck, AustriaOkoudjou, K.A., University of Maryland-College Park, USAOliaro, A., Universit_a di Torino, ItalyPeng, L., Peking University, ChinaPilipovic, S., University of Novi Sad, SerbiaPopivanov, P., Bulgarian Academy of Sciences, BulgariaRabinovich, V.S., Instituto Politechnico Nacional, MexicoRuzhansky, M.,Imperial College London, UKSjöstrand, J., Ecole Polytechnique, FranceSchulze, B.-W., Universtät Potsdam, GermanyThangavelu, S., Indian Institute of Science at Bangalore, IndiaToft, J., Växjö University, SwedenWakabayashi, S., University of Tsukuba, JapanWitt, I., Universität Göttingen, GermanyZhu, H., York University, Canada

154

Advances in Applied Clifford AlgebrasEditor-in-Chief: Keller, J., Universidad Nacional Autónoma de México, MéxicoISSN: 0188-7009 (print)ISSN: 1661-4909 (electronic)Special subscription rates for private customers. 2010, Vol. 20 (4 issues)Impact Factor: 0.396 (2008) AMS Mathematical Citation Quotient (MCQ): 0.17 (2007)

www.birkhauser.ch/AACA

Aequationes MathematicaeEditor-in-Chief: Páles, Z., University of Debrecen, Hungary Managing Editor: Gilányi, A., University of Debrecen, HungaryISSN: 0001-9054 (print)ISSN: 1420-8903 (electronic)2010, Vols. 79-80 (3 issues per volume)AMS Mathematical Citation Quotient (MCQ): 0.22 (2007)

www.birkhauser.ch/AEM

algebra universalisEditor-in-Chief: Grätzer, G., University of Manitoba, Winnipeg, MB, CanadaISSN: 0002-5240 (print)ISSN: 1420-8911 (electronic)2010, Vols. 63-64 (4 issues per volume)Impact Factor: 0.313 (2008)AMS Mathematical Citation Quotient (MCQ): 0.39 (2007)

www.birkhauser.ch/AU

Journals

155

Journals

Annales Henri PoincaréA Journal of Theoretical and Mathematical PhysicsEditor-in-Chief: Rivasseau, V., Université Paris Sud-XI, FranceISSN: 1424-0637 (print)ISSN: 1424-0661 (electronic)2010, Vol. 11 (8 issues)Impact Factor: 1.234 (2008)AMS Mathematical Citation Quotient (MCQ): 0.58 (2007)

www.birkhauser.ch/AHP

Annals of CombinatoricsManaging Editors: Chen, W.Y.C., Nankai University, Tianjin, China Andrews, G.E., Pennsylvania State University, PA, USA Paule, P., University of Linz, Austria ISSN: 0218-0006 (print) ISSN: 0219-3094 (electronic)2010, Vol. 14 (4 issues)Impact Factor: 0.460 (2008)AMS Mathematical Citation Quotient (MCQ): 0.40 (2007)

www.birkhauser.ch/AC

Archiv der MathematikManaging Editor: Gekeler, E.-U., University of Saarland, Saarbrücken, GermanyTechnical Editor:Wilk-Pitz, C., University of Saarland, Saarbrücken, GermanyISSN: 0003-889X (print)ISSN: 1420-8938 (electronic)2010, Vols. 94-95 (6 issues per volume)Impact Factor: 0.500 (2008)AMS Mathematical Citation Quotient (MCQ): 0.40 (2007)

www.birkhauser.ch/AdM

156

Circuits, Systems & Signal ProcessingEditor-in-Chief: Swamy, M.N.S., Concordia University, Montreal, CanadaISSN: 0278-081X (print)ISSN: 1531-5878 (electronic)2010, Vol. 29 (6 issues)Special subscription rates for private customers. Impact Factor: 0.396 (2008)

www.birkhauser.ch/CSSP

Complex Analysis and Operator TheoryEditor-in-Chief: Alpay, D., Ben Gurion University of the Negev, Be’er-Sheva, IsraelISSN: 1661-8254 (print)ISSN: 1661-8262 (electronic)2010, Vol. 4 (4 issues per volume)

www.birkhauser.ch/CAOT

computational complexityEditor-in-Chief: von zur Gathen, J., University of Bonn, GermanyAssociate Editors: Arora, S., Princeton University, Princeton, NJ; Bürgisser, P., University of Paderborn, Germany; Goldreich, O., The Weizmann Institute, Rehovot, IsraelISSN: 1016-3328 (print)ISSN: 1420-8954 (electronic)2010, Vol. 19 (4 issues)Impact Factor: 1.562 (2008)AMS Mathematical Citation Quotient (MCQ): 0.59 (2007)

www.birkhauser.ch/CC

Journals

157

Geometric and Functional AnalysisEditors: Donaldson, S., Imperial College, London, UK Gromov, M., IHES, Bures-sur-Yvette, FranceMilman, V., Tel Aviv University, IsraelSarnak, P., Princeton University, NJ, USAISSN: 1016-443X (print)ISSN: 1420-8970 (electronic)2010, Vol. 20 (6 issues)Impact Factor: 1.024 (2008) AMS Mathematical Citation Quotient (MCQ): 1.34 (2007)

www.birkhauser.ch/GAFA

Integral Equations and Operator TheoryEditors: Gohberg, I., Tel Aviv University, Israel Tretter, C., University of Bern, SwitzerlandISSN: 0378-620X (print)ISSN: 1420-8989 (electronic)2010, Vols. 66-68 (4 issues per volume)Impact Factor: 0.460 (2008)AMS Mathematical Citation Quotient (MCQ): 0.66 (2007)

www.birkhauser.ch/IEOT

Journal of Evolution EquationsEditors-in Chief: Arendt, W., University of Ulm, GermanyNagel, R., University of Tübingen, GermanyISSN: 1424-3199 (print)ISSN: 1424-3202 (electronic)2010, Vol. 10 (4 issues)Special subscription rates for private customers.Impact Factor: 0.683 (2008)AMS Mathematical Citation Quotient (MCQ): 0.88 (2007)

www.birkhauser.ch/JEE

Journals

158

Journal of Fixed Point Theory and ApplicationsEditor-in Chief: Granas, A., Université de Montreal, CanadaManaging Editors:Gauthier, G., Université du Québec à Montréal, CanadaLee, J.W., Oregon State University, USA

ISSN: 1661-7738 (print)ISSN: 1661-7746 (electronic)2010, Vols. 7-8 (2 issues per volume)

www.birkhauser.ch/JFPTA

Journal of Fourier Analysis and ApplicationsEditor-in-Chief: Feichtinger, H.G., University of Vienna, AustriaISSN: 1069-5869 (print)ISSN: 1531-5851 (electronic)2010, Vol. 16 (6 issues)Special subscription rates for private customers. Impact Factor: 1.028 (2008) AMS Mathematical Citation Quotient (MCQ): 0.84 (2007)

www.birkhauser.ch/JFAA

Journal of GeometryEditorial Office: Kroll, H.-J., Technical University of Munich, GermanyISSN: 0047-2468 (print)ISSN: 1420-8997 (electronic)2010, Vols. 97-99 (2 issues per volume)AMS Mathematical Citation Quotient (MCQ): 0.24 (2007)

www.birkhauser.ch/JG

Journals

159

Journal of Mathematical Fluid MechanicsEditors-in-Chief: Galdi,G.P., University of Pittsburgh, PA, USA Heywood, J.G., University of British Columbia, Vancouver, CanadaRannacher, R., University of Heidelberg, GermanyISSN: 1422-6928 (print)ISSN: 1422-6952 (electronic)2010, Vol. 12 (4 issues)Special subscription rates for private customers.Impact Factor: 0.940 (2008)AMS Mathematical Citation Quotient (MCQ): 0.71 (2007)

www.birkhauser.ch/JMFM

Logica UniversalisEditor-in-Chief:Béziau, J.-Y., Brazilian Research Council, Fortaleza, BrazilISSN: 1661-8297 (print)ISSN: 1661-8300 (electronic)2010, Vol. 4 (2 issues)Special subscription rates for private customers.

www.birkhauser.ch/LU

Mathematics in Computer ScienceEditors-in-Chief: Wang, D., Université Pierre et Marie Curie, Paris, France and Beihang University, Beijing, ChinaZeng, Z., Beihang University, Beijing, ChinaISSN: 1661-8270 (print)ISSN: 1661-8289 (electronic)2010, Vol. 4 (4 issues)

www.birkhauser.ch/MCS

Journals

160

Mediterranean Journal of MathematicsEditor-in-Chief: Altomare, F., Università degli Studi di Bari, ItalyISSN: 1660-5446 (print)ISSN: 1660-5454 (electronic)2010, Vol. 7 (4 issues)Impact Factor: 0.357 (2008)AMS Mathematical Citation Quotient (MCQ): 0.36 (2007)

www.birkhauser.ch/MEDJM

Milan Journal of MathematicsManaging Editor: Ruf, B., Università degli Studi di Milano, ItalyISSN: 1424-9286 (print)ISSN: 1424-9294 (electronic)2010, Vol. 78 (2 issues)Special subscription rates for private customers.AMS Mathematical Citation Quotient (MCQ): 0.38 (2007)

www.birkhauser.ch/MJM

Nexus Network JournalEditor-in-Chief: Williams, K., Torino, ItalyISSN: 1590-5896 (print)ISSN: 1522-4600 (electronic)2010, Vol. 12 (3 issues)Special subscription rates for private customers and NAAM members.

www.birkhauser.ch/NNJ

Journals

161

Nonlinear Differential Equations and ApplicationsManaging Editor: Coti Zelati, V., Università di Napoli, ItalyISSN: 1021-9722 (print)ISSN: 1420-9004 (electronic)2010, Vol. 17 (6 issues)Impact Factor: 0.424 (2008)AMS Mathematical Citation Quotient (MCQ): 0.68 (2007)

www.birkhauser.ch/NODEA

NTM Zeitschrift für Geschichte der Wissenschaften, Technik und MedizinNTM Journal of the History of Science, Technology and MedicineManaging Editor: Nikolow, S., University of Bielefeld, GermanyISSN: 0036-6978 (print)ISSN: 1420-9144 (electronic)2010, Vol. 18 (4 issues)Special subscription rates for DGGMNT members.

www.birkhauser.ch/NTM

Physics in PerspectiveEditors-in-Chief: Rigden, J.S., Washington University, St. Louis, MO, USA Stuewer, R.H., University of Minnesota, Minneapolis, MN, USAISSN: 1422-6944 (print)ISSN: 1422-6960 (electronic)2009, Vol. 11 (4 issues)Special subscription rates for private customers and members of APTS, AAPT, DPG, IOP.Impact Factor: 0.440 (2008)

www.birkhauser.ch/PIP

Journals

162

PositivityAn International Mathematics Journal Devoted to the Theory and Applications of PositivityEditor-in-Chief: de Pagter, B., Delft University, The Netherlands ISSN: 1385-1292 (print)ISSN: 1572-9281 (electronic)2010, Vol. 14 (4 issues)Special subscription rates for private customers. Impact Factor: 0.344 (2008)AMS Mathematical Citation Quotient (MCQ): 0.31 (2007)

www.birkhauser.ch/POS

Qualitative Theory of Dynamical SystemsEditors-in-Chief: Llibre, J., Universitat Autonoma de Barcelona, SpainGiné, J., Universitat de Lleida, SpainISSN: 1575-5460 (print)ISSN: 1662-3592 (electronic)2010, Vol. 9 (2 issues)Special subscription rates for private customers. AMS Mathematical Citation Quotient (MCQ): 0.18 (2007)

www.birkhauser.ch/QTDS

Results in MathematicsManaging Editor:Wefelscheid, H., University of Duisburg-Essen, GermanyISSN: 1422-6383 (print)ISSN: 1422-9012 (electronic)2010, Vols. 57-58 (4 issues per volume)AMS Mathematical Citation Quotient (MCQ): 0.29 (2007)

www.birkhauser.ch/RM

Journals

163

Selecta Mathematica, New SeriesEditors-in-Chief: Etingof, P., Massachusetts Institute of Technology, Cambridge, MA, USAKazhdan, D., The Hebrew University, Jerusalem, Israel Seidel, P., Massachusetts Institute of TechnologyCambridge, MA, USAISSN: 1022-1824 (print)ISSN: 1420-9020 (electronic)2010, Vol. 16 (4 issues)Impact Factor: 0.710 (2008)AMS Mathematical Citation Quotient (MCQ): 1.02 (2007)

www.birkhauser.ch/SM

Transformation GroupsEditor-in-Chief: Vinberg, E.B., Moscow State University, RussiaExecutive Managing Editor:Popov, V.L., Russian Academy of Sciences, Moscow, RussiaISSN: 1083-4362 (print)ISSN: 1531-586X (electronic)2010, Vol. 15 (4 issues)Special subscription rates for private customers.Impact Factor: 0.676 (2008) AMS Mathematical Citation Quotient (MCQ): 0.75 (2007)

www.birkhauser.ch/TG

Zeitschrift für Angewandte Mathematik und PhysikJournal of Applied Mathematics and PhysicsManaging Editor: Nipp, K., ETH Zürich, SwitzerlandISSN: 0044-2275 (print)ISSN: 1420-9039 (electronic)2010, Vol. 61 (6 issues)Impact Factor: 1.139 (2008)AMS Mathematical Citation Quotient (MCQ): 0.35 (2007)

www.birkhauser.ch/ZAMP

Journals

164

Abele, A.E. 137Abonyi, J. 109Adamson, I.T. 29Adamyan, V. 40Agranovich, M., 153Akos, D.M. 103Albrecher, H 129Albu, T. 12Aleman, A. 35Alpay, D. 34, 143, 156Altmann, J. 105Altomare, F. 160Amann, H. 43, 44, 68, 132, 140, 145Ambrosetti, A. 99Ambrosio, L. 52Amirouche, F. 104Ando, T. 38An, M. 101Andreescu, T. 8, 9, 10, 17, 27, 111, 114Andréka, H. 4Andrews, G.E. 155Andrica, D. 8, 9, 10Anglès, P. 24Annicchiarico, R. 109Antsaklis, P.J. 103, 104Arendt, W. 68, 157Argyros, S.A. 58Armaou, A. 101Arnold, B.C. 79Arora, S. 156Artin, M. 133Atiyah, M.F. 91Atten, M. 123Aubin, J.-P. 22, 74Audin, M. 28, 29Avkhadiev, F.G. 44Azarin, V.S. 48

Bachman, D. 56Bagaria, J. 5Bais, S. 137Baker, M. 105Bakhtiari, M.R. 89Balakrishnan, N. 79, 149Ball, J.A. 53, 143Ballmann, W. 29Bandle, C. 98Bandt, C. 77Bangerth, W. 71Barbieri, R. 89Barbu, L. 69Bardi, M. 75Barge, J. 22Barreira, L. 67Bart, H. 30, 53, 113Bartocci, C. 18Basar, T. 75, 150Bass, H. 11, 148Bastos, M.A. 51Baum, H., 18Behrndt, J. 47

Behrndt, J., 30Bellomo, N. 92, 93, 144Bellouquid, A. 95Benedetto, J.J. 139Bensoussan, A. 76Benz, W. 25Bergamasco, A. 153Bermúdez de Castro, A. 91Bernhard, P. 75, 95Bernoulli, J.I. 124Bernoulli, N.II 124Bernstein, J. 10Bertelsen, N. 103Berti, M. 68Bertoluzza, S. 98Béziau, J.-Y. 5, 150, 159Bhattacharyya, S. P. 104Bhat, U. 80Binder, A. 129Binder, W. 106Bini, D.A. 96Birkenmeier, G.F. 12Blanchard, P. 59Blanchini, F. 74Bloch, E.D. 6Bobenko, A.I. 24Boccaletti, D. 23Bodenmann, S. 116Boggiatto, P. 153Bogopolski, O. 12Boiko, I. 102Bojarski, B. 56Boju, V. 113Bokut, L.A. 118Boldini, P. 123Booss-Bavnbek, B. 126Borel, A. 24Borgwardt, K.H. 138Borodin, A.N. 83Borre, K. 103Borthwick, D. 68Bouchut, F. 71Boulabiar, K. 53Bourdeau, M. 123Bourguignon, J.-P. 145Boutet de Monvel, A. 78, 90, 147Bovier, A. 78Brady, N. 16Brantschen, S. 151Braunß, H.-A. 136Bravo de la Parra, R. 94Brazier, F.M.T. 105, 140Brešar, M. 16Brezis, H. 148Brisebarre, N. 97Bröcker, T. 133Brodmann, M. 138Brodzik, A.K. 101Brokate, M. 92, 127, 128, 144Browning, T.D. 7Brown, R.F. 59

Bruening, E 59Brusch, L. 94Bruzzo, U. 18Brylinski, J.-L. 25Brzezinski, T. 14Buchholz, D. 90Bulajich Manfrino, R. 37Bumagin, I. 12Bunimovich, L. 142Bunke, H. 110Burghelea, D. 52Bürgisser, P. 156Burmen, Á. 100Buskes, G. 53Buzano, E. 61Byrne, H. 94

Cabrelli, C. 36Calgaro, C. 69Calisti, M. 109, 151Cannas da Silva, A. 29Cannata, R. 23Caparrini, S. 122Capogna, L. 26Capuzzo-Dolcetta, I 75Caramalho Domingues, J. 123Cardinali, I. 25Carstensen, C. 92Cartier, P. 26Casacuberta, C. 139Catalano, D. 110Catoni, F. 23Catoni, V. 23Censor, Y. 93Cercignani, C. 70, 94Cervenka, R. 110Chaplain, M. 93Chebotar, M.A. 16Chen, H. 153Chen, J. 104Chen, W.Y.C. 155Cherniavski, J.C. 147Chipot, M. 65, 72Chirikjian, G.S. 85Christensen, K.L. 58Christensen, O. 49, 58, 59Christofides, P.D. 101Christopher, C. 69Cialdea, A. 61Clark, J. 16Cohen, L. 153Cohen, R.L. 27Cohn, D.L. 60Conlon, L. 24Constanda, C. 53Cooper, J.M. 72Corry, L. 126Cortés, U. 106, 109Costa, D.G. 68Coti Zelati, V. 161Coulombel, J.-F. 69Cramer, R. 110

Crippa, G. 43Cuntz, J. 25Curto, R.E. 38

Dalang, R.C. 81Damgard, I. 110Damour, T. 90Danielli, D. 26Da Prato, G. 64, 71, 76Darvas, G. 113Datta, A. 104David, G. 58Davis, J.H. 99De Angelis, E. 93Debnath, L. 69, 70de Boer, R.J. 94de Dinechin, F. 97de Gosson, M. 28, 153Dehmer, M. 87de Hoop, M. 153Delfour, M.C. 76Delitala, M. 95Della Sala, G. 55de Oliveira, C.R. 89de Pagter, B. 162De Risi, V. 125Deutsch, A. 94de Vries, G. 94Diaconescu, R. 4DiBenedetto, E. 60Dickinson, P.J. 110Di Crescenzo, G. 110Didenko, V.D. 51Diekmann, O. 94Dieudonné, J. 121do Carmo, M.P. 29Donaldson, S. 157Doukhan, P. 82Dozzi, M. 81Drábek, P. 54Dragomir, S. 26Drensky, V. 17Drton, M. 79Drucker, T. 123Duplantier, B. 88, 90Dustdar, S. 106

Ebenfelt, P. 31Edwards, H.M. 60Eidelman, Y. 53Elliott, R.J. 96Enescu, B. 114Engl, H.W. 127, 144Epstein, C.L. 141Erdogan, A. 12Ericsson, M. 108Escher, J. 43, 44, 132Etingof, P. 163Evans, R.J. 28Eynard, B. 84

Falk, M. 82Falletta, S. 98

Authors and Editors Index

165

Fargues, L. 25Fauser, B. 88, 90Feichtinger, H.G. 158Feil, B. 109Feireisl, E. 65Feldman, N.S. 35Fellmann, E.A. 125, 152Feng, Z. 9, 10, 17Fernández, C. 153Ferreirós, J. 125Fine, B. 9Forbes, A.B. 97Formanek, E. 17Forster-Heinlein, B. 35Förster, K.-H. 47Frankowska, H. 74Freeman, R.A. 75Fu, M.C. 96Funar, L. 113Fursikov, A.V. 86Furutani, K. 153

Gabetta, E 94Gaitsgory, V. 95Galbis, A. 153Gal, S.G. 47Galdi, G.P. 86, 92, 139, 159Galicki, K. 21Gan, W.T. 8Gauthier, G. 158Gautschi, W. 100Gekeler, E.-U. 155Gelbart, S. 10Gelca, R. 111Gelfand, I.M. 15, 17Genestier, A. 25Geroldinger, A. 7Gessel, I. 8Giaquinta, M. 42, 53, 55, 70Giga, Y. 70Gigli, N. 52Gilányi, A. 98, 154Giné, J. 162Girard, P.R. 16Glaz, J. 78Gohberg, I. 30, 37, 51, 53, 56, 59, 146, 157Goldberg, S. 59Goldreich, O. 156Golubitsky, M. 71Gómez Ortega, J.A. 37Gómez Pardo, J.L. 14González, M. 36Good, P.I. 82Goudon, T. 69Grafakos, L. 153Graf, U. 99Gramchev, T. 153Granas, A. 158Grätzer, G. 11, 154Gray, J.J. 24Greene, D.H. 109Grigoryan, S.A. 57

Grobler, J.J. 32Gröchenig, K. 104Gromoll, D. 20Gromov, M. 26, 157Grosswald, E. 8Grove, K. 145Gschwind, T. 107Guerra, F. 122Gu, K. 104Gürlebeck, K. 54, 133Gustafsson, B. 39, 70

Haase, M. 56Habetha, K. 54, 133Hadamard, J. 33Hamenstädt, U. 34Heinzmann, G. 123Helffer, B. 153Helin, H. 107Helmstetter, J. 15Helton, J.W. 53Hempfling, T. 113Henrot, A. 57Herbstritt, M. 151Herget, C.J. 16Hernández Ruipérez, D. 18Herzel, H. 94Hess, K. 27Heyne, A.K. 125, 136Heywood, J.G. 139, 159Hieber, M. 68Hofer, H. 27Hoffmann, K.-H. 127, 142, 144Hong, S. 17Horiuchi, A 117Hörmander, L. 54Hotta, R. 14Hou, L. 75Høyrup, J. 125, 126Hristu-Varsakelis, D. 104Huber, M. 20Hungerbühler, N. 31Hunziker, H. 137Huber-Carol, C. 80Hüsler, J. 82

Iagolnitzer, D. 90Illusie, L. 26Iosevich, A. 153Israel, G. 119Itenberg, I. 19

Jacobsen, M. 82Jagers, P. 94Janas, J. 48Jarrow, R.A. 96Jeannerod, C.-P. 97Jensen, S.H. 103Jerrum, M. 83Jiang, M. 93Jorgensen, P.E.T. 49Juhl, A. 18, 19, 28

Junek, H. 136Jung, I.B. 38

Kaashoek, J.F. 99Kaashoek, M.A. 30, 53, 59, 113Kac, M. 113Kaiser, G. 147Kannenberg, L. 117Kapovich, M. 22Kapranov, M.M. 15, 25Karloff, H. 107Kasch, F. 13Katz, N.M. 26Kaufmann, S. 99Kazhdan, D. 163Keller, J. 154Kersting, G. 127, 128, 131, 144Kharitonov, V.L. 104Kharlampovich, O. 12King, R. B. 14Kisdi, E. 94Klein, F. 121Kleiner, I. 124Kleinert, A. 116Knapp, A.W. 15, 58Knobloch, E. 152Knuth, D.E. 109Kobayashi, T. 15Koch Medina, P. 96Kock, J. 26Kohn, J.J. 31Kokotovic, P.V. 75Kolyada, S. 25Kornhuber, R. 92Kowol, G. 134Kraetzl, M. 110Kragh, H. 122, 152Krainer, T. 136Krantz, S.G. 6, 38, 49, 55, 59, 140, 141Krause, R. 92Kravchenko, V.V. 64Kreck, M. 27Kretzschmar, M. 94Kroll, H.-J. 158Krömer, R. 115, 125Krstic, M. 73, 75Kuczma, M. 46Kudla, S.S. 8Kügler, P. 130Kumar, S. 140Kung, J.P. S. 151Kunisch, K. 63, 69Kunz, E. 16Kurasov, P. 48Kurdachenko, L.A. 16Kuroda, S. 120Kushner, H.J. 74Kvasz, L. 124Kwak, J.H. 17

Labuschagne, L.E. 32Lacki, J. 119Lafforgue, V. 25Lafontaine, J. 29Lancaster, P. 56Lancellotta, R. 90Langer, H. 47Lannes, J. 22Lansky, P. 94Lanzara, F. 61Laptev, A. 48Latyshev, V. 118Laugwitz, D. 123Laumon, G. 26Lebre, A.B. 51Lecuire, C. 34Lee, J.W. 158Lee, W.Y. 38Lefèvre, W. 126LeFloch, P.G. 72Lehto, O. 134Leiterer, J. 37Lerer, L. 31Lerman, E. 29Lerner, N 153Leugering, G. 63, 69, 142Leung, H. 108LeVeque, R.J. 100Levine, W.S. 104, 140Liberzon, D. 76Libin, W. 62Li, C. 69Lieb, E.H. 91Limnios, N. 80 Lindner, M. 56Lions, P.-L. 145 Liskowacka, J. 117Liu, D. 75, 104Llibre, J. 162Locatelli, A. 76Lods, B. 92Lomp, C. 16López-Gómez, J. 54Losonczi, L. 98Lou, Y. 101Louis, A.K. 93Lubotzky, A. 11, 17Lück, W. 27Lunardi, A. 41, 60Lüneburg, H. 135Luong, B. 32Lynch, S. 84, 109, 110

Ma, H. 108Ma, L. 153Ma, X. 53 Mader, A 13Malchiodi, A. 99Manca, L. 66Manin, Y.I. 25, 26Marasco, A. 90Marinescu, G. 53 Markvorsen, S. 59


166

Martinazzi, L. 70Martindale III, W.S. 16Martínez-Abejón, A. 36Martini, L. 115Massopust, P. 35Matveev, A.S. 102Mayer, P. 129Maz'ya, V. 33Mazzola, G.B. 114, 136Meester, R. 81Mehrmann, V. 96Melquiond, G. 97Melrose, R. 52Merino, S. 96Merrill, K.D. 49Métivier, G. 67Metz, H. 94Meyer, R. 25, 134Miani, S. 74Micali, A. 15Michel, A.N. 16, 74, 75, 103, 104Mikhalkin, G. 19Millán Gasca, A. 119Milman, V. 157Milota, J. 54Min-Oo, M. 59Mínguez, R. 79Miró-Roig, R.M. 15Mishchenko, A.S. 52, 56Mislin, G. 28Mitter, S.K. 76Modica, G. 42, 53Mok, N. 31Möller, M. 32Mollica, F. 94Monastyrsky, M.I. 123Montangero, S. 108Mora-Corral, C. 54Moree, P. 25Moreno, A. 107Morimoto, Y. 153Morosanu, G. 69Mörters, P. 77Moschella, U. 90Mucci, D. 55Muller, J.-M. 97, 99Müller, V. 53Mumford, D. 55Murasugi, K. 25Mushkarov, O. 27Myasnikov, A. 14Myint-U, T. 69

Naboko, S. 48Nabonnand, P. 115Nagel, R. 157Narasimhan, R. 114Nazaikinskii, V.E. 51Nekovár, J. 140Németi, I. 4Neubrander, F. 68Neuenschwander, E. 137

Neumann, D. 105Neunzert, H. 137Newman, C. 147, 149Nicaise, S. 68Nichelatti, E. 23Nievergelt, Y. 6Nikolow, S. 161Nikulin, M. 80Nipp, K. 163Nishimura, H. 120Novaga, M. 41Novotný, A. 65

Oberguggenberger, M. 153Ogston, E. 105Okada, S. 50Okoudjou, K.A. 153Oliaro, A. 153Olshevsky, V. 31, 53, 96Oesterlé, J. 148Ó Mathúna, D. 66Oppenheim, G. 82Orlandi, G. 41Otal, J.-P. 16, 34

Packer, J.A. 49Páles, Z. 98, 154Palmer, J. 90Panchapagesan, T.V. 51Parks, H.R. 49, 59Parthasarathy, K.R. 83Paule, P. 155Pauls, S.D. 26Pautasso, C. 107Pavese, F. 97Pavón, J. 107Payne, S.E. 25Pechoucek, M. 108Peng, L. 153Perthame, B. 94, 142Peskir, G. 82Petsche, H.-J. 116, 117, 137Pietsch, A. 124Pigola, S. 22Pilipovic, S. 153Pini, E.S. 136Plum, M. 98Poch, M. 106Pogorzelski, W.A. 4Pointcheval, D. 110Polterovich, L. 114Ponnusamy, S. 55Pont, J.-C. 121Popivanov, P. 153Popov, V.L. 163Potapenko, S. 53Potyagailo, L. 25Pourtallier, O. 95Pozdnyakov, V. 78Pragacz, P. 25Preziosi, L. 94Prüß, J.W. 131Pucci, P. 54

Puig, L. 13Pukhnachev, V.V. 86Purrington, R.D. 118

Qian, T. 54Qin, Y. 66Quittner, P. 69

Rabinovich, V.S. 153Rachev, S.T. 96Radelet-de Grave, P., 152Raimond, J.-M. 88, 90Rajagopal, K.R. 94, 103Ramírez Galarza, A.I. 26Ran, A.C.M. 30, 53, 143Rana, O.F. 105, 140Rannacher, R. 71, 92, 139, 159Reiss, R.-D. 81, 82Remmert, R. 132Renn, J. 126Resnick, S.I. 83, 147, 149Revelli, R. 92Revol, N. 97Ribet, K.A. 26Ricci, P.E. 61Ricker, W.J. 50Ridolfi, L. 92Rigden, J.S. 120, 161Rigoli, M. 22Riley, T. 16Rinder, P. 103Rivasseau, V. 88, 90, 155Robertson, A.M. 92Robotti, N. 122Rodino, L. 46, 61, 153Rodman, L. 56Rohwer, C. 57Romano, A. 90Romanovski, V.G. 63Rose, H.E. 17Rosenberg, J.M. 25Rosenberger, G. 9Rößler, W. 135Ross, W.T. 35Rota, G.-C. 8, 113Roubicek, T. 70Rovnyak, J. 53Ruegg, H. 119Ruf, B. 160Russo, F. 81Russo, G. 98Ruzhansky, M. 62, 153Ruzsa, I.Z. 7

Sabadini, I. 45Saberi, A. 109Sain, I. 4Salminen, P. 83Saloff-Coste, L. 142Sánchez Pérez, E.A. 50Sandier, E. 69Sannuti, P. 109

Santambrogio, F. 109Sarabia, J.M. 79Saracco, A. 45, 55Sarnak, P. 157Savaré, G. 52Savin, A.Y. 51Savkin, A.V. 28, 102Schay, G. 81Schechter, M. 39Scheidemann, V. 57Schiavon, M. 115Schinazi, R.B. 83Schmid, W. 15Schnaubelt, R. 131Schoepflin, U. 126Scholz, E. 152Schöning, U. 5Schrader, C.B. 74Schröder, B. 6Schröder, P. 24Schuldt, H. 107Schulze, B.-W. 153Schumacher, M. 107Schwartz, J.T. 113Schwarz, M. 60Seade, J. 26, 56Segal, D. 17Seidel, P. 163Seiringer, R. 91Serfaty, S. 69Serrin, J. 54Servi, T. 23Setti, A.G. 22Shafer, D.S. 63Shapiro, M. 45Sharan, P. 87Shen, A. 17, 108Shestakov, I. 14, 118Shiryaev, A. 82Short, H. 16Shparlinski, I. 142Shpilrain, V. 14Shu, C.-W. 98Shustin, E. 19Sidoravicius, V. 80Silbermann, B. 51Silva, G.J. 104Silverman, H. 55Simanca, S.R. 21Simioniuc, A. 55Sjöstrand, J. 153Skiadas, C.H. 77Smith, P.F. 14Snaith, V.P. 21Sohr, H. 60Solovej, J.P. 91Soloviev, A. 33Sommen, F. 45Sommerfeld, A. 121Sone, Y. 90Souplet, P. 69Speck, F.-O. 51


167


Spitkovsky, I.M. 31Sprekels, J. 63, 69Springer, T.A. 14Sprößig, W. 54, 133, 142Srikant, R. 76Srinivas, V. 25Staicu, V. 68Stanley, R.P. 10Steeb, W.-H. 137Stehlé, D. 97Sternin, B.Y. 51Stewart, I. 71Stolz, G. 48Stoop, R. 137Stoorvogel, A.A. 109Storrer, H.H. 138Stout, E.L. 54Stoyanov, L. 27Strassner, J.C. 105, 109, 140Straube, E.J. 31Stroeker, R.J. 99Stroth, G. 127, 144Stuewer, R.H. 120, 161Sturmfels, B. 79Subbotin, I.Y. 16Sullivan, J.M. 24Sullivant, S. 79Swamy, M.N.S. 156

Takeuchi, K. 14Takagi, T. 110Tanisaki, T. 14Taqqu, M.S. 82Tarantello, G. 67Taraz, A. 128Tatsien, L. 62Tercan, A. 12Tewari, A. 103Thangavelu, S. 153Thomas, M. 81Thompson, S.G. 108

Tian, G. 28Tobies, R. 137Todorcevic, S. 5, 9, 58Toft, J. 153Tolimieri, R. 101Tolksdorf, J. 88, 90Tomassini, G. 26, 55Tonev, T.V. 57Toponogov, V.A. 27Torrea, J.L. 36Torres, S. 97Toti Rigatelli, L. 115, 126Trencansky, I. 110Tretter, C. 157Triebel, H. 56Triki, A. 53Troitsky, E.V. 52, 56Tröltzsch, F. 63, 69Trudeau, R.J. 24Truesdell, C. 103Trunk, C. 30, 47Tschinkel, Y. 8Tucsnak, M. 73Tuma, T. 100Turek, S. 92Turunen, V. 62Tyrtsyhnikov, E. 96Tyson, J.T. 26

Ullrich, P. 132Unterberger, A. 22Urdiales, C. 109Ushakov, A. 14

Vai, M.I 54Vainsencher, I. 26Vaisman, I. 29Valdez Delgado, R. 37Valette, A. 28Vanaja, N. 16van Barel, M. 96

van der Mee, C.V.M. 52van der Meer, S. 109Vares, M.E. 80Varshney, A. 101Vasilevski, N. 50Vasiliev, A. 39, 70Väth, M. 54Vaught, R.L. 6Vazquez, R. 75Ventura, E. 12Villani, C. 142Villa Salvador, G.D. 9Vinberg, E.B. 163Vincent, L. 97Vinnikov, V. 34Vittone, D. 23Volkenstein, M.V. 85von Below, J. 68Vonta, F. 80von zur Gathen, J. 156Voos, H. 108Vorobiev, N.N. 114Voronov, A.A. 27

Wakabayashi, S. 153Wakolbinger, A. 131Wallach, N. 143Wallenstein, S. 78Wallis, W.D. 5, 9, 11, 110Walliser, M. 151Walnut, D.F. 99Walschap, G. 20Walter, S.A. 115Wanders, G. 119Wang, D. 159Weber, A. 56Wefelscheid, H. 162Weil, A. 9, 126Weinstein, A. 148Weiss, G. 73Welzl, E. 127, 144

Weyl, H. 134Wickerhauser, M.-V. 86Wilk-Pitz, C. 155Willems, W. 131Williams, K. 111, 112, 122, 151, 160Windsteiger, W. 130Wirths, K.-J. 44Wisbauer, R. 16Witterstein, G. 127Witt, I. 153Wojtaszczyk, P. 145Wojtylak, P. 4Won, C.-H. 74Wong, M. W. 46, 149, 153

Xu, Y. 54

Yang, J.-H. 15Yen, J.-Y.J. 96Yngvason, J. 91

Zabczyk, J. 76Zacher, R. 131Zaharopol, R. 82Zähle, M. 77Zampetti, P. 23Zannier, U. 25, 40, 42Zehnder, E. 27Zeidler, E. 88, 90Zelevinsky, A.V. 15Zelmanov, E. 118Zeng, Z. 159Zhang, H. 104Zhu, H. 153Ziegler, G.M. 24Ziegler, M. 129Zimmer, R.J. 72Zoladek, H. 27Zulehner, W. 130

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