Abstracts - COnnecting REpositoriestwentieth century. (KP) #38.4.5 Evesham, Harold A. The History...

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Abstracts Duncan J. Melville, Editor Laura Martini and Kim Plofker, Assistant Editors Available online 9 August 2011 The purpose of this department is to give sufficient information about the subject matter of each publication to enable users to decide whether to read it. It is our inten- tion to cover all books, articles, and other materials in the field. Books for abstracting and eventual review should be sent to this department. Materials should be sent to Duncan J. Melville, Department of Mathematics, Computer Science and Statistics, St. Lawrence University, Canton, NY 13617, U.S.A. (e-mail: [email protected]). Readers are invited to send reprints, autoabstracts, corrections, additions, and notices of publications that have been overlooked. Be sure to include complete bibliographic information, as well as transliteration and translation for non-European languages. We need volunteers willing to cover one or more journals for this department. In order to facilitate reference and indexing, entries are given abstract numbers which appear at the end following the symbol #. A triple numbering system is used: the first number indicates the volume, the second the issue number, and the third the sequential number within that issue. For example, the abstracts for Volume 30, Number 1, are numbered: 30.1.1, 30.1.2, 30.1.3, etc. The initials in parentheses at the end of an entry indicate the abstractor. In this issue there are abstracts by Timothy B. Carroll (Ypsilanti, MI), Larry D’Antonio (Mahwah, NJ), Laura Martini, Kim Plofker, and Duncan J. Melville. General Bartocci, Claudio; Betti, Renato; Guerraggio, Angelo; and Lucchetti, Roberto, eds. Mathematical Lives. Protagonists of the Twentieth Century from Hilbert to Wiles. Trans- lated from the Italian by Kim Williams. Berlin: Springer, 2011, xiii+238 pp. This book comprises a series of brief articles intended to give the general public an appreciation of those behind the developments of mathematics in the past century, to give credit where credit is due, with an Italian flavor. The individual entries are listed or abstracted sepa- rately as: #38.4.2; #38.4.75; #38.4.76; #38.4.77; #38.4.78; #38.4.79; #38.4.81; #38.4.82; #38.4.84; #38.4.86; #38.4.88; #38.4.89; #38.4.90; #38.4.91; #38.4.92; #38.4.99; #38.4.100; #38.4.104; #38.4.105; #38.4.109; #38.4.110; #38.4.111; #38.4.129; #38.4.130; 0315-0860/$ - see front matter Ó 2011 Elsevier Inc. All rights reserved. doi:10.1016/j.hm.2011.07.003 Historia Mathematica 38 (2011) 565–589 www.elsevier.com/locate/yhmat

Transcript of Abstracts - COnnecting REpositoriestwentieth century. (KP) #38.4.5 Evesham, Harold A. The History...

Page 1: Abstracts - COnnecting REpositoriestwentieth century. (KP) #38.4.5 Evesham, Harold A. The History and Development of Nomography. Boston: Docent Press, 2010, x+267 pp. Nomography, or

Historia Mathematica 38 (2011) 565–589www.elsevier.com/locate/yhmat

Abstracts

Duncan J. Melville, Editor

Laura Martini and Kim Plofker, Assistant Editors

Available online 9 August 2011

0315-08

doi:10.1

The purpose of this department is to give sufficient information about the subjectmatter of each publication to enable users to decide whether to read it. It is our inten-tion to cover all books, articles, and other materials in the field.

Books for abstracting and eventual review should be sent to this department.Materials should be sent to Duncan J. Melville, Department of Mathematics, ComputerScience and Statistics, St. Lawrence University, Canton, NY 13617, U.S.A. (e-mail:[email protected]).

Readers are invited to send reprints, autoabstracts, corrections, additions, andnotices of publications that have been overlooked. Be sure to include completebibliographic information, as well as transliteration and translation for non-Europeanlanguages. We need volunteers willing to cover one or more journals for thisdepartment.

In order to facilitate reference and indexing, entries are given abstract numberswhich appear at the end following the symbol #. A triple numbering system is used:the first number indicates the volume, the second the issue number, and the third thesequential number within that issue. For example, the abstracts for Volume 30, Number1, are numbered: 30.1.1, 30.1.2, 30.1.3, etc.

The initials in parentheses at the end of an entry indicate the abstractor. In this issuethere are abstracts by Timothy B. Carroll (Ypsilanti, MI), Larry D’Antonio (Mahwah,NJ), Laura Martini, Kim Plofker, and Duncan J. Melville.

General

Bartocci, Claudio; Betti, Renato; Guerraggio, Angelo; and Lucchetti, Roberto, eds.Mathematical Lives. Protagonists of the Twentieth Century from Hilbert to Wiles. Trans-lated from the Italian by Kim Williams. Berlin: Springer, 2011, xiii+238 pp. This bookcomprises a series of brief articles intended to give the general public an appreciation ofthose behind the developments of mathematics in the past century, to give “credit wherecredit is due”, with an Italian flavor. The individual entries are listed or abstracted sepa-rately as: #38.4.2; #38.4.75; #38.4.76; #38.4.77; #38.4.78; #38.4.79; #38.4.81; #38.4.82;#38.4.84; #38.4.86; #38.4.88; #38.4.89; #38.4.90; #38.4.91; #38.4.92; #38.4.99;#38.4.100; #38.4.104; #38.4.105; #38.4.109; #38.4.110; #38.4.111; #38.4.129; #38.4.130;

60/$ - see front matter � 2011 Elsevier Inc. All rights reserved.

016/j.hm.2011.07.003

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#38.4.131; #38.4.132; #38.4.133; #38.4.140; #38.4.143; #38.4.144; #38.4.155; #38.4.160;#38.4.163; #38.4.170; and #38.4.171. See the review by Michael Berg at MAA Reviews,http://mathdl.maa.org/mathDL/19/?pa=reviews&sa=viewBook&bookId=71648.(DJM) #38.4.1

Bartocci, Claudio; Betti, Renato; Guerraggio, Angelo; and Lucchetti, Roberto. Mathe-matical prizes. The Fields Medal and the Abel Prize, in #38.4.1, pp. 237–238. A list of thewinners of the Fields Medal and Abel Prize. (DJM) #38.4.2

Betti, Renato. See #38.4.1; and #38.4.2.

Bjarnadottir, Kristın; Furinghetti, Fulvia; and Schubring, Gert, eds. “Dig Where YouStand”: Proceedings of the Conference on On-going Research in the History of MathematicsEducation. Reykjavik: University of Iceland School of Education, 2009, vi+254 pp. Papersfrom a conference in the recently-emerging field of history of mathematics teaching andlearning. The papers in this volume fall into four groups, on classroom practice, historyof organizations, mathematics teaching in particular countries, and history of mathematicsin teacher training. See the review by Victor J. Katz in Historia Mathematica 38 (1) (2011),303–308. (DJM) #38.4.3

Colbois, Bruno; Riedtmann, Christine; and Schroeder, Viktor, eds. math.ch/100.Schweizerische Mathematische Gesellschaft—Société Mathématique Suisse—Swiss Mathe-matical Society 1910–2010. Zurich: European Mathematical Society Publishing House,2010, 526 pp. On the occasion of the centenary of the Swiss Mathematical Society, this vol-ume of twenty-three essays celebrates 100 years of mathematics in Switzerland. The articlesare listed separately as: #38.4.85; #38.4.95; #38.4.96; #38.4.97; #38.4.101; #38.4.103;#38.4.107; #38.4.114; #38.4.115; #38.4.117; #38.4.118; #38.4.125; #38.4.128; #38.4.135;#38.4.138; #38.4.147; #38.4.152; #38.4.156; #38.4.166; #38.4.172; and #38.4.176.(DJM) #38.4.4

Courgeau, Daniel. Dispersion of measurements in demography: A historical view. Jour-nal Electronique d’Histoire des Probabilités et de la Statistique/Electronic Journal for Historyof Probability and Statistics 6 (1) (2010), 19 pp. Surveys the development of the concept ofdispersion from the probability of Fermat and Pascal and the political arithmetic of Grauntin the seventeenth century, through probabilistic and demographic studies up to the latetwentieth century. (KP) #38.4.5

Evesham, Harold A. The History and Development of Nomography. Boston: DocentPress, 2010, x+267 pp. Nomography, or the graphical representation of classes of functionsas an aid to computation, had its hey-day between the late 19th century and mid-20th cen-tury. Since the advent of electronic computation, the practice has waned and its historyfaded into obscurity. This volume, a revision of the author’s 1982 PhD. thesis, is the firsthistory of nomography since its passing. (DJM) #38.4.6

Furinghetti, Fulvia. See #38.4.3.

Grcar, Joseph F. How ordinary elimination became Gaussian elimination. HistoriaMathematica 38 (1) (2011), 163–218. The author details the history of procedures for solv-ing simultaneous equations and shows that Guass’ name became attached to the“ordinary”, or “common” procedure, not because he introduced the procedure, butbecause his notation was convenient for professional computers performing least-squarescalculations. (DJM) #38.4.7

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Greenberg, Marvin Jay. Old and new results in the foundations of elementary planeEuclidean and non-Euclidean geometries. American Mathematical Monthly 117 (3)(2010), 198–219. This paper highlights some foundational history and some recent discov-eries such as the hierarchies of axiom systems, Aristotle’s axiom as a “missing link”, Bol-yai’s discovery of the relationship of “circle-squaring” in a hyperbolic plane to Fermatprimes, the undecidability, incompleteness, and consistency of elementary Euclidean geom-etry, among others. (LM) #38.4.8

Guerraggio, Angelo. See #38.4.1; and #38.4.2.

Guthery, Scott B. A Motif of Mathematics. History and Application of the Mediant andthe Farey Series. Boston: Docent Press, 2010, xx+243 pp. An engaging history of the medi-ant and its diverse range of applications in generating series from graph theory to the Rie-mann hypothesis, and a rehabilitation of Charles Haros and John Farey. (DJM) #38.4.9

Horn, Laurence R. See #38.4.16.

Jahanshahi, M.; and Khatami, H.M. Historical paradoxes in fundamental of mathemat-ics and their role in developing branches of mathematics and methods of scientificresearches. Mathematical Sciences Quarterly Journal 1 (1–2) (2007), 47–60. Defines anddescribes mathematical paradoxes and their origins, distinguishing between fundamentalor “non-removable” paradoxes and “removable” ones based on errors of methodology.The authors explore the role of some fundamental paradoxes in precipitating foundationalcrises and generating new fields or methods of study in mathematics and other sciences.(KP) #38.4.10

Jankvist, Uffe Thomas. A century of mathematics education: ICMI’s first hundredyears. Historia Mathematica 38 (1) (2011), 292–302. An essay review of Menghini, Marta;Furinghetti, Fulvia; Giacardi, Livia; and Arzarello, Ferdinando, eds. The First Century ofthe International Commission on Mathematical Instruction (1908–2008) – Reflecting andShaping the World of Mathematics Education, Roma: Istituto della Enciclopedia Italianafondata da Giovannni Treccani, 2009, 328 pp. The articles in the volume discuss the past,present and future of ICMI. While the reviewer found the volume interesting and useful, hewould also have liked some discussion of why certain themes or topics were included oromitted, especially the role of history in mathematics education. (DJM) #38.4.11

Karp, Alexander; and Vogeli, Bruce R., eds. Russian Mathematics Education. Historyand World Significance (Series on Mathematics Education 4). Hackensack, NJ: World Sci-entific, 2010, x+387 pp. The first volume of a two-volume anthology, examining “the his-tory of mathematics education in Russia and its relevance to mathematics educationthroughout the world”. (KP) #38.4.12

Khatami, H.M. See #38.4.10.

Leong, Yu Kiang. Creative Minds, Charmed Lives. Interviews at Institute for Math-ematical Sciences, National University of Singapore. With a foreword by Louis Chen.Hackensack, NJ: World Scientific, 2010, xvi+333 pp. This book collects 37 interviewsof mathematicians, originally published in the newsletter of the Institute for Mathemat-ical Science at the University of Singapore. Those interviewed work in a variety offields, from logic, graph theory, and Lie groups to bioinformatics, economics, and ani-mation. See the review by Dean Rickles in Mathematical Reviews 2681205 (2011f:01011).(LD) #38.4.13

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Lucchetti, Roberto. See #38.4.1; and #38.4.2.

Posamentier, Alfred S. The Pythagorean Theorem: The Story of Its Power and Beauty.With an afterword by Herbert A. Hauptman. Amherst, NY: Prometheus Books, 2010, 320pp. The author gives an elementary presentation of various aspects of the PythagoreanTheorem. Included are 21 different proofs of the theorem, a list of Pythagorean triples, achapter on Pythagoras and music, and a chapter on arithmetic, geometric and harmonicmeans. See the review by Victor V. Pambuccian in Mathematical Reviews 2675683(2011e:01003). (LD) #38.4.14

Pragacz, P., ed. Hoene-Wronski: Life, Mathematics and Philosophy. Papers from the Ses-sion “A Tribute to Józef Hoene-Wronski” Held at the Polish Academy of Sciences, Warsaw,Poland, January 12–13, 2007 [in Polish]. Warsaw: Institute of Mathematics, Polish Acad-emy of Sciences, 2008, 114 pp. Seven papers from a conference on the life and work of JozefMaria Hoene-Wronski (1776–1853). The papers cover his life, philosophy of mathematics,mathematical achievements, his “Loi supreme”, and his legacy. See the review by RomanMurawski in Zentralblatt MATH 1200.01037. (DJM) #38.4.15

Riedtmann, Christine. See #38.4.4.

Schroeder, Viktor. See #38.4.4.

Schubring, Gert. See #38.4.3.

Speranza, J.L.; and Horn, Laurence R. A brief history of negation. Journal ofApplied Logic 8 (3) (2010), 277–301. The authors present a brief history of negationfocusing on the role played by the 20th century philosopher of language Paul Grice.His remarks on negation and speaker meaning and the elaboration of his ideas by sub-sequent neo-Griceans are summarized and particular attention is paid to the relationsbetween negation and the other operators of propositional and predicate calculus.(LM) #38.4.16

Stillwell, John. Mathematics and Its History. 3rd revised and updated ed. (Under-graduate Texts in Mathematics). New York, NY: Springer, 2010, xxi+660 pp. This bookis the third edition of the 1989 volume. This new edition includes five additionalchapters as well as the related and updated bibliography and corresponding furtherexercises. See the review by Rudiger Thiele in Zentralblatt MATH 1207.01003.(LM) #38.4.17

Vogeli, Bruce R. See #38.4.12.

Williams, Kim. See #38.4.1.

Zweiacker, Pierre. Morts pour la science [Dead for Science] (Focus Science). Lau-sanne: Presses Polytechniques et Universitaires Romandes, 2007, x+252 pp. This bookis a collection of biographical sketches of various scientists and explorers whose lifeended violently, often by suicide. Chapters are arranged according to the scientist’sdiscipline: the first five chapters deal with mathematics; physics and chemistry; explora-tion and business; telegraphy and related technologies; life sciences and anthropology.The sixth chapter gathers violent deaths apparently less related to scientific activity.See the review by Satyanad Kichenassamy in Zentralblatt MATH 1207.01034.(LM) #38.4.18

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Mesopotamia

Rudman, Peter. The Babylonian Theorem. The Mathematical Journey to Pythagoras andEuclid. Amherst, NY: Prometheus Books, 2010, 376 pp. This book’s focus is on the Greekacquisition of Late Babylonian mathematics. See the review by U. D’Ambrosio in Mathe-matical Reviews 2573939 (2011g: 01001). (TBC) #38.4.19

India

Ramasubramanian, K.; and Sriram, M.S. Tantrasan_graha of Nılakan: t:ha Somayajı.Transl. from the Sanskrit (Sources and Studies in the History of Mathematics and Physical Sci-ences). London: Springer; New Delhi: Hindustan Book Agency, 2011, xlvi+595 pp. Thisstudy, the first English translation of one of the most important works in medieval Indianmathematical astronomy (composed in 1500 in Kerala), also includes the original Sanskrittext in nagarı script as well as roman transliteration, and a detailed commentary on the con-tent of the text as well as on Indian astronomy in general and the Kerala school’s uniqueapproach to it. See the review by Benno van Dalen in Zentralblatt MATH 1211.01006.(KP) #38.4.20

Sriram, M.S. See #38.4.20.

Islamic/Islamicate

Barontini, Michele; and Tonietti, Tito M. ‘Umar al-Khayyam’s contribution to theArabic mathematical theory of music. Arabic Sciences and Philosophy 20 (2) (2010),255–279. Edits and translates an exposition by the eleventh-century Muslim polymathal-Khayyam on harmonic theory, based on an Arabic manuscript found in Turkey, andcompares it with other treatises and traditions on the same subject. (KP) #38.4.21

Doostgharin, Fatemeh. Ab�u Torab’s treatise on trisection of angles [in Persian]. Tarıkh-e‘Elm: Iranian Journal for the History of Science 8 (2009), 1–29 (Persian pages). A critical edi-tion and commentary of Mırza Ab�u Torab’s Persian treatise on trisection of angles and,hence, computation of the sine of 1�. (DJM) #38.4.22

Ghassemlou, F.; and Thabit, F. Payervand. A Comprehensive Catalogue of Mathemat-ical Manuscripts in the Libraries of Iran [in Persian]. Teheran: Islamic Azad UniversityPress, 1388 H.S./2010, 693 pp. The authors have scoured the libraries of Iran to constructa catalog including not just manuscripts on pure mathematics, but also those on mathemat-ical astronomy and geography, metrology, and philosophy of mathematics. See the reviewby Hamid-Reza Giahi Yazdi in Tarıkh-e ‘Elm: Iranian Journal for the History of Science 8(2009), 45–49. (DJM) #38.4.23

Hogendijk, Jan P. The Introduction to Geometry by Qust: a ibn L�uqa: Translation andCommentary. Suhayl 8 (2008), 163–221. A translation into English and accompanyingcommentary of the 9th-century Introduction to Geometry of Qust: a ibn L�uqa. The originalwork had around 191 questions and answers; the two surviving Arabic manuscripts provide186 pairs. (DJM) #38.4.24

al-Houjairi, Mohamad. See #38.4.26.

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Kusuba, Takanori. See #38.4.27.

Rashed, Roshdi. Al-Khwarizmı: The Beginnings of Algebra (History of Science and Phi-losophy in Classical Islam). London: SAQI, 2009, x+392 pp. An English translation of the2007 French publication Al-Khwarizmı: le commencement de l’algèbre (MR2388370(2008k:01007)), containing an edition with translation and commentary of the famousninth-century Arabic algebra treatise, Kitab al-jabr wa-al-muqabala. (KP) #38.4.25

Rashed, Roshdi; and al-Houjairi, Mohamad. Sur un theoreme de geometrie spherique:Theodose, Menelaus, Ibn ‘Iraq et Ibn H�ud [On a theorem of spherical geometry: Theodo-sius, Menelaus, Ibn ‘Iraq and Ibn H�ud]. Arabic Sciences and Philosophy 20 (2) (2010),207–253. Examines a theorem and demonstration in spherics by the eleventh-century math-ematician Ibn H�ud in his treatise al-Istikmal, and compares it to some other results on thesame subject. (KP) #38.4.26

Sidoli, Nathan; and Kusuba, Takanori. Nas: ır al-Dın al-T: �usı’s revision of Theodosius’sSpherics. Suhayl 8 (2008), 9–46. A comparison of al-T: �usı’s Arabic edition of Theodosius’sSpherics shows that al-T: �usı was more concerned with generating a mathematically coherentpresentation of the subject than in preserving a historical work. (DJM) #38.4.27

Thabit, F. Payervand. See #38.4.23.

Tonietti, Tito M. See #38.4.21.

Other Non-Western

Gerdes, Paulus. Tinlhèlò. Interweaving Art and Mathematics. Colourful Basket Traysfrom the South of Mozambique. London: Lulu, 2010, 132 pp. This volume exhibits and ana-lyzes colored circular basket trays the author has been collecting since the end of the 1970s.(LM) #38.4.28

Horiuchi, Annick. Japanese Mathematics in the Edo Period (1600–1868). A Study of theworks of Seki Takakazu (?–1708) and of Takebe Katahiro (1664–1739) (Science Networks.Historical Studies 40). Basel: Birkhauser, 2010, xxvii+376 pp. Translated from the French1994 original by Silke Wimmer-Zagier. A translation of the book mentioned in the title intoEnglish. A substantial reworking of the original that includes beautiful reproductions oforiginal works. See the review by Jean-Claude Martzloff in Zentralblatt MATH1206.01018. (TBC) #38.4.29

Wimmer-Zagier, Silke. See #38.4.29.

Antiquity

Acerbi, Fabio. Euclid’s Pseudaria. Archive for History of Exact Sciences 62 (5) (2008),511–551. A study of the references to Euclid’s lost work Pseudaria. The author concludesthat pseudographies were probably the main but not the sole topic of the Pseudaria. See thereview by Jens Høyrup in Zentralblatt MATH 1207.01006. (TBC) #38.4.30

Dodgson, Charles L. Euclid and His Modern Rivals. Reprint of the 1879 original(Cambridge Library Collection—Mathematics). Cambridge: Cambridge University Press,2009, xxxi+299 pp. This book is a reprint of Charles L. Dodgson’s (better known as

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Lewis Carroll) Euclid and His Modern Rivals [London: MacMillan (1879; see the reviewin Zentralblatt MATH 1202.01020)] on the occasion of the 130th anniversary of its pub-lishing. See the review by Thomas Sonar in Zentralblatt MATH 1210.01003.(LM) #38.4.31

Liu, Yang; and Toussaint, Godfried. Unravelling Roman mosaic meander patterns: Asimple algorithm for their generation. Journal of Mathematics and the Arts 4 (1) (2010), 1–11. The paper discusses a specific pattern observable in a Roman mosaic in the ChedworthVilla in Gloucestershire. See the review by Franka Miriam Bruckler in Zentralblatt MATH1207.01005. (TBC) #38.4.32

Raymond, Dwayne. Polarity and inseparability: The foundation of the apodictic por-tion of Aristotle’s modal logic. History and Philosophy of Logic 31 (3) (2010), 193–218. Uses“Aristotle’s tests for things that can never combine (polarity) and things that can never sep-arate (inseparability)” as the basis of a system for interpreting Aristotle’s modal logic.(KP) #38.4.33

Toussaint, Godfried. See #38.4.32.

See also: #38.4.24; and #38.4.27.

Renaissance

Naets, Jurgen. How to define a number? A general epistemological account of SimonStevin’s art of defining. Topoi 29 (1) (2010), 77–86. Explores the Dutch mathematician’s“novel understanding of the concept of number” in his 1585 L’arithmétique as an indicationof the treatise’s “explication of a mathematical ethos”, and connects it to the “ethics ofgeometry” in general. (KP) #38.4.34

Wagner, Roy. The natures of numbers in and around Bombelli’s L’algebra. Archive forHistory of Exact Sciences 64 (5) (2010), 485–523. The author analyzes the mathematicalpractices leading to Rafael Bombelli’s L’algebra of 1572 focusing on the semiotic aspectsof algebraic practices and on the organization of knowledge. (LM) #38.4.35

17th century

Aarts, Jan. See #38.4.36.

Bakker, Miente. See #38.4.36.

de Witt, Jan. Elementa Curvarum Linearum. Liber secundus (Sources and Studies in theHistory of Mathematics and Physical Sciences). Berlin: Springer, 2010, xi+318 pp. Editedby Albert W. Grootendorst, Jan Aarts, Miente Bakker and Reinie Erne. A translation ofthe second volume of the first textbook written on Analytic Geometry (1659). See thereview by Roman Murawski in Zentralblatt MATH 1206.01079. (TBC) #38.4.36

Erne, Reinie. See #38.4.36.

Freguglia, Paolo. Reflections on the relationship between perspective and geometry inthe sixteenth and seventeenth centuries, in #38.4.44, pp. 331–340. The author examines

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the relationship between perspective and geometry in the 1500s, i.e., before Guarini’s work.(LM) #38.4.37

Grootendorst, Albert W. See #38.4.36.

Kosso, Peter. And yet it moves: The observability of the rotation of the Earth. Founda-tions of Science 15 (3) (2010), 213–225. Investigates the meaning and observability of thephenomenon of the earth’s rotation in Galileo’s time, and argues that neither then nornow can it be considered “observable”. (KP) #38.4.38

Maslov, V.P. Tropical mathematics and the financial catastrophe of the 17th century.Thermoeconomics of Russia in the early 20th century. Russian Journal of MathematicalPhysics 17 (1) (2010), 126–140. Considers applications of the tropical approach in mathe-matics (i.e., that based on the tropical semiring) to the quantitative analysis of various his-torical economic phenomena, including economic collapse in seventeenth-century Europe.(KP) #38.4.39

Massimi, Michela. Galileo’s mathematization of nature at the crossroad between theempiricist and the Kantian tradition. Perspectives on Science 18 (2) (2010), 152–188. Thispaper aims to take Galileo’s mathematization of nature as a springboard for contrastingthe time-honoured empiricist conception of phenomena, exemplified by Pierre Duhem’sanalysis in To Save the Phenomena (1908), with Immanuel Kant’s. (LM) #38.4.40

McDonough, Jeffrey K. Leibniz’s optics and contingency in nature. Perspectives on Sci-ence 18 (4) (2010), 432–455. Argues for reversing the conventional position that Leibniz’sviews on the contingency of laws of nature were carried over into optics from their originalcontext in physics; rather, it is claimed, they were originally inspired by optics.(KP) #38.4.41

McQuillan, James. Guarino Guarini and his Grand Philosophy of Sapientia and Math-ematics, in #38.4.44, pp. 341–349. This paper discusses the philosophy and art of GuarinoGuarini, analyzing the structure and content of his Architettura civile, a posthumously-pub-lished treatise on architecture. (LM) #38.4.42

Roero, Clara Silvia. Guarino Guarini and universal mathematics, in #38.4.44, pp.415–439. The author aims to show the effect that philosophical and mathematical studieshad on Guarini’s cultural formation, on the original research he conducted, and on histeaching activities, while looking at the mathematical sources that he consulted and citedto identify which authors and works mostly influenced him. (LM) #38.4.43

Williams, Kim, ed., Guarino Guarini: Open Questions, Possible Solutions. (Nexus Net-work Journal. Architecture and Mathematics 11, No. 3). Turin: Kim Williams Books, 2009,i–iv+pp. 329–494. This book is a collection of ten papers on the work of the mathematicianand architect Guarino Guarini (1624–1683). Papers with historical content are abstractedas #38.4.37; #38.4.42; and #38.4.43. (LM) #38.4.44

18th century

Bell, Jordan. A summary of Euler’s work on the pentagonal number theorem. Archivefor History of Exact Sciences 64 (3) (2010), 301–373. The author gives a very detailed math-ematical as well as historical case study of Euler’s work on the pentagonal number theorem:

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ð1� xÞð1� x2Þð1� x3Þ . . . ¼ 1� x� x2 þ x5 þ x7 þ . . .. See the review by Rudiger Thiele inZentralblatt MATH 1208.01013. (TBC) #38.4.45

Cavendish, Henry. The Scientific Papers of the Honourable Henry Cavendish. 2 vols. Edi-ted by James Clerk Maxwell, Sir Edward Thorpe, and Sir Joseph Larmor. Reprint of the1921 hardback ed. (Cambridge Library Collection—Physical Sciences). Cambridge:Cambridge University Press, 2011, 488 pp./v.1; 522 p./v.2. This 2-volume set is a reprintof the 1921 hardback edition of collection of Henry Cavendish’s scientific papers. Theyinclude published and unpublished papers on electrical, chemical, magnetic, and thermom-etry experiments. (LM) #38.4.46

Ferreiro, Larrie D. Pierre Bouguer et le solide de moindre resistance [Pierre Bouguerand the solid of least resistance]. Revue d’Histoire des Sciences 63 (1) (2010), 93–119. Thispaper discusses the astronomer Pierre Bouguer’s work on naval architecture and his use ofNewton’s “solid of least resistance”. It includes a letter from Michel Blay and AlexandreGuilbaud to Ferreiro of September 2008. (LM) #38.4.47

Findlen, Paula. Calculations of faith: Mathematics, philosophy, and sanctity in 18th-century Italy (new work on Maria Gaetana Agnesi). Historia Mathematica 38 (2) (2011),248–291. The recent publications of Antonella Cupillari, Franco Minonzio, and MassimoMazzotti on Maria Gaetana Agnesi offer the author an opportunity to re-assess Agnesi’swork and reputation among mathematicians and historians, in the light of her own researchinto Agnesi. (DJM) #38.4.48

Goldstein, Bernard R. See #38.4.49.

Hon, Giora; and Goldstein, Bernard R. In pursuit of conceptual change: The case ofLegendre and symmetry. Centaurus 51 (4) (2009), 288–293. The authors consider the caseof Lagrange’s introduction of the notion of symmetry in construction of solid angles fromplane angles as an example of conceptual change in a field. They explore what led him tofocus on the question, and why he chose the term “symmetry”. (DJM) #38.4.49

Larmor, Joseph. See #38.4.46.

Maxwell, James Clerk. See #38.4.46.

Nauenberg, M. The early application of the calculus to the inverse square force prob-lem. Archive for History of Exact Sciences 64 (3) (2010), 269–300. A translation of New-ton’s propositions in the Principia on inverse square force problem into the language ofthe differential calculus and the study of the non-rigorous proofs of Jacob Hermann, PierreVarignon and Johann Bernoulli. See the review by Teun Koetsier in Zentralblatt MATH1207.01009. (TBC) #38.4.50

Thorpe, Edward. See #38.4.46.

19th century

Armatte, Michel. Statut de la dispersion: de l’erreur a la variabilite [The status of thenotion of dispersion: From error to variability]. Journal Électronique d’Histoire desProbabilités et de la Statistique/Electronic Journal for History of Probability and Statistics6 (1) (2010), 20 pp. The concept of dispersion changed its significance in changing its con-text from observational errors to individuals within a population. The article examines this

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change and the emergence, within the German School of variability of chances, of a two-dimensional concept of variability in terms of consistency and stability. (KP) #38.4.51

Berg, Jan. See #38.4.52; and #38.4.53.

Bolzano, Bernard. Bernard Bolzano—Gesamtausgabe. Reihe II. Nachlass B. Wissens-chaftliche Tagebücher. Band 14. Philosophische Tagebücher 1803–1810. Erster Teil [BernardBolzano—Collected Works. Series II. Nachlass B. Scientific Diaries. Vol. 14. PhilosophicalJournals, 1803–1810. Part I]. Edited by Jan Berg. Stuttgart: Friedrich Frommann VerlagGunther Holzboog GmbH & Co., 2009, 146 pp. See the review by Joseph W. Dauben inMathematical Reviews 2640542 (2011d:01011). (LD) #38.4.52

Bolzano, Bernard. Bernard Bolzano—Gesamtausgabe. Reihe II. Nachlass B. Wissens-chaftliche Tagebücher. Band 15. Philosophische Tagebücher 1803–1810. Zweiter Teil [Ber-nard Bolzano—Collected Works. Series II. Nachlass B. Scientific Diaries. Vol. 15.Philosophical Journals, 1803–1810. Part II]. Edited by Jan Berg. Stuttgart: Friedrich From-mann Verlag Gunther Holzboog GmbH & Co., 2009, pp. 147–285. These two volumes arepart of the ongoing publication of the collected works of Bernard Bolzano. Volumes 14 and15 are in the second series, devoted to the papers of Bolzano. They contain three treatises:Analecta V (1803); Miscellanea philosophico-theologica (1805), and Miscellanea theologico-philosophica (1806–1810). This latter work begins in Volume 14 and then takes up all ofVolume 15. The works are primarily theological, but include Bolzano’s doubts about theparallel postulate (in Analecta V) and the infinity of time and space (in the Miscellaneaphilosophico-theologica). See the review by Joseph W. Dauben in Mathematical Reviews2640543 (2011d:01012). (LD) #38.4.53

Bondoni, Davide. Peirce and Schroder on the Auflosungsproblem. Logic and LogicalPhilosophy 18 (1) (2009), 15–31. Discusses the German logician Ernst Schroder’s approachto the “solution problem” in the logic of relations, in light of C.S. Peirce’s work.(KP) #38.4.54

Burke, Mark. See #38.4.67.

Capecchi, Danilo; and Ruta, Giuseppe. A historical perspective of Menabrea’s theoremin elasticity. Meccanica 45 (2) (2010), 199–212. This paper presents the theorem Luigi Fede-rico Menabrea proposed in order to study linear elastic redundant systems. Some ofMenabrea’s papers on the subject are also examined, as well as the criticism and the cor-rections brought to his first proof. (LM) #38.4.55

Frege, Gottlob. Grundgesetze der Arithmetik. Band I, II. Begrisschriftlich abgeleitet. [TheBasic Laws of Arithmetic. Vol. I, II. Derived in Conceptual Notation]. Paderborn: MentisVerlag GmbH, 2009, xii+584 pp. Transcribed into modern formula notation and with adetailed subject index provided by Thomas Muller, Bernhard Schroder, and Rainer Stuhl-mann-Laeisz. A careful translation of the two volumes of Frege’s Grundgesetze der Arith-metik. See the review by Volker Peckhaus in Mathematical Reviews 2640900 (2011g:01017).(TBC) #38.4.56

Giovanelli, Marco. Kant, Helmholtz, Riemann und der Ursprung der geometrischenAxiome [Kant, Helmholtz, Riemann and the origin of the geometrical axioms]. PhilosophiaNaturalis 45 (2) (2008), 236–269. Explores the views of Helmholtz and Kant on the notionof geometric space, comparing Kantian doctrine with Riemann’s approach to geometry.(KP) #38.4.57

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Greco, Gabriele H.; Mazzucchi, Sonia; and Pagani, Enrico M. Peano on derivative ofmeasures: Strict derivative of distributive set functions. Atti della Accademia Nazionaledei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Serie IX.Matematica e Applicazioni 21 (3) (2010), 305–339. The authors present a detailed expositionof Peano’s 1887 work on geometrical applications of infinitesimal calculus, leading to theconcept of strict derivative of distributive set functions and their use. They also comparePeano’s work and H. Lebesgue’s memoir of 1936 where the French mathematician intro-duced a uniform derivative of certain additive set functions, a concept that coincides withPeano’s strict derivative. (LM) #38.4.58

Hermite, Charles. �uvres de Charles Hermite [Works of Charles Hermite]. Edited byEmile Picard. Cambridge: Cambridge University Press, 2009, 4 vols. A reprint of the fourvolumes of the collected works of Charles Hermite, originally published by Gauthier-Vil-lars between 1905 and 1917. (DJM) #38.4.59

Lennox, James G. The Darwin-Gray correspondence 1857–1869: An intelligent discus-sion about chance and design. Perspectives on Science 18 (4) (2010), 456–479. This analysisof the philosophical and biological arguments of Charles Darwin and Asa Gray on chanceand teleology in natural selection touches slightly on the probabilistic and statistical mean-ings of chance and randomness. (KP) #38.4.60

Lixia, Wang. Some remarks on the history of solitary waves. Gan: ita-Bharatı 30 (2) (2008),123–130. A sketch of the work of the Cambridge School on solitary waves in the 1830s. Seethe review by Karl-Heinz Schlote in Zentralblatt MATH 1206.01026. (DJM) #38.4.61

Martınez, Alberto A. Kinematics. The Lost Origins of Einstein’s Relativity. Baltimore, MD:Johns Hopkins University Press, 2009, xxii+464 pp. This book gives the first historical accountof the role that kinematics played in Einstein’s thinking about relativity. See the review by AlanS. McRae in Mathematical Reviews 2647943 (2011g:01005). (TBC) #38.4.62

Mazzucchi, Sonia. See #38.4.58.

Muller, Thomas. See #38.4.56.

Narasimhan, Raghavan. Bernhard Riemann remarks on his life and work. Milan Jour-nal of Mathematics 78 (1) (2010), 3–10. The author exposes some events in Riemann’s lifetaken from his and Dedekind’s correspondence and analyzes Riemann’s letter to Weierst-rass on his paper on the distribution of primes. Riemann’s course of 1858/59 on the hyper-geometric series is also discussed. (LM) #38.4.63

Nunnally, Tiina. See #38.4.70.

Pacheco, Jose M.; Perez-Fernandez, Francisco J.; and Suarez, Carlos O. Following thesteps of Spanish mathematical analysis: From Cauchy to Weierstrass between 1880 and1914. Revista de la Academia Canaria de Ciencias 20 (1–2) (2008), 119–134 (2009). Theauthors discuss how rigorous mathematical analysis a la Cauchy was adopted in Spainaround 1880 and how some forty years later, the Weierstrassian formulation became theusual presentation in Spanish texts. (LM) #38.4.64

Pagani, Enrico M. See #38.4.58.

Palladino, Nicla. Gli Anaglifi di Vuibert. Origine storica e applicazioni in didattica bas-ata sui modelli di superfici matematiche [The anaglyphs of Vuibert. Historical origin and

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applications in didactics based on models of mathematical surfaces]. Società Nazionale diScienze, Lettere e Arti in Napoli. Rendiconto dell’Accademia delle Scienze Fisiche e Matema-tiche (4) 76 (2009), 169–194. The author sketches a history of the birth of anaglyphs up totheir use in virtual reality and analyzes the role that virtual reality played in didactics.(LM) #38.4.65

Perez-Fernandez, Francisco J. See #38.4.64.

Picard, Emile. See #38.4.59.

Rowe, David E. Disciplinary cultures of mathematical productivity in Germany, inRemmert, Volker R.; and Schneider, Ute, eds., Publikationsstrategien einer Disziplin—Mathematik in Kaiserreich und Weimarer Republik (Mainzer Studien zur Buchwissenschaft19) (Wiesbaden: Harrassowitz, 2008), pp. 9–51. The article traces developments in the gen-eration and dissemination of mathematical research in nineteenth-century Germany, withspecial attention to the role of journals and lecture-notes monographs in the latter half ofthe century. (KP) #38.4.66

Rusnock, Paul; and Burke, Mark. Etchemendy and Bolzano on logical consequence.History and Philosophy of Logic 31 (1) (2010), 3–29. This article considers Bolzano’s theoryon logical consequence in light of John Etchemendy’s criticisms on the standard semanticalaccount of logical consequence. (LM) #38.4.67

Ruta, Giuseppe. See #38.4.55.

Ryabukho, O.M. The first Ukrainian journal publication dealing with Galois theory [inUkrainian]. Visnyk Donets’kogo Universytetu. Seriya A. Pryrodnychi Nauky 2007 (1)(2007), 7–12. Analyzes the 1897 paper “Equation of the Fifth Degree” published in Ukrai-nian by a young mathematics graduate of Lviv University, Klim Glybovitskii, in the Notesof Shevchenko Scientific Society. (KP) #38.4.68

Schroder, Bernhard. See #38.4.56.

Simpson, Thomas K. Maxwell’s Mathematical Rhetoric. Rethinking the Treatise on Elec-tricity and Magnetism. Santa Fe, NM: Green Lion Press, 2010, xxiv+351 pp. In this workthe author examines the function of language in the Treatise on Electricity and Magnetismof James Clerk Maxwell. In particular, Maxwell is seen as developing a mathematical rhet-oric. For example, the energy of an electrical system can be represented as a two dimen-sional integral over surfaces or a three dimensional integral over space. These integralsare numerically equivalent, but represent different ways of describing the energy; eitheras charges on surfaces or as a strain between the surfaces. See the review by SalvatoreEsposito in Mathematical Reviews 2682427 (2011f:01016). (LD) #38.4.69

Stubhaug, Arild. Gösta Mittag-Leffler. A Man of Conviction. Translated by TiinaNunnally. Berlin: Springer, 2010, x+733 pp. A detailed biography of the Swedish mathe-matician Mittag-Leffler (1846–1927) based on thousands of primary and secondary sources,and including a chronology of his life and list of his publications. See the review by RomanMurawski in Zentralblatt MATH 1208.01038. (KP) #38.4.70

Stuhlmann-Laeisz, Rainer. See #38.4.56.

Suarez, Carlos O. See #38.4.64.

See also: #38.4.39; #38.4.106; #38.4.147; and #38.4.164.

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20th century

Anellis, Irving A. Russell and his sources for non-classical logics. Logica Universalis 3(2) (2009), 153–218. In this paper the author gives a thorough discussion of the possiblesources on modal logic and other non-classical logics that may have influenced BertrandRussell. These sources include the work of C.S. Peirce, A.V. and N.A. Vasiliev, H. Mac-Coll, A. Meinong, and J. Łukasiewicz. See the review by John W. Dawson Jr. in Mathemat-ical Reviews 2559395 (2011c:03001). (LD) #38.4.71

Arai, Toshiyasu. Progress in the proof theory related to Hilbert’s second problem.Sugaku Expositions 21 (1) (2008), 83–96. On the advances made towards Hilbert’s secondproblem on the consistency proof of second-order arithmetic, with emphasis on the work ofGodel, Gentzen, and Takeuti. See the review by Volker Peckhaus in Zentralblatt MATH1206.01030. (DJM) #38.4.72

Arnold, Vladimir I. Vladimir I. Arnold-Collected Works. Vol. I. Representations of Func-tions, Celestial Mechanics and KAM theory, 1957–1965. Edited by Alexander B. Givental,Boris A. Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vassilev, OlegYa. Viro, and Vladimir M. Zakalyukin. Berlin: Springer-Verlag, 2009, xiv+487 pp. Thisis Volume I of Vladimir Igorevich Arnold’s collected works, which starts an ongoing pro-ject for the publication of Arnold’s 700 papers on diverse subjects, from ordinary differen-tial equations and celestial mechanics to singularity theory and real algebraic geometry.(LM) #38.4.73

Bacciagaluppi, Guido; and Crull, Elise. Heisenberg (and Schrodinger, and Pauli) on hid-den variables. Studies in History and Philosophy of Science. Part B. Studies in History andPhilosophy of Modern Physics 40 (4) (2009), 374–382. The paper discusses “various aspectsof Heisenberg’s thought on hidden variables in the period 1927–1935. We also compareHeisenberg’s approach to others current at the time, specifically that embodied by vonNeumann’s impossibility proof, but also views expressed mainly in correspondence by Pau-li and by Schrodinger.” (KP) #38.4.74

Barbieri Viale, Luca. Alexander Grothendieck: Enthusiasm and creativity, in #38.4.1,pp. 171–180. A nontechnical appreciation of Grothendieck both inside and outside ofmathematics. (DJM) #38.4.75

Bartocci, Claudio. Robert Musil. The audacity of intelligence, in #38.4.1, pp. 79–90. #38.4.76

Bartocci, Claudio. Michael F. Atiyah. Mathematics’ deep reasons, in #38.4.1, pp. 197–208. On Atiyah as one of the protagonists of the “age of unification” in mathematics in thesecond half of the 20th century. (DJM) #38.4.77

Bartocci, Claudio. Enrico Bombieri. The talent for mathematics, in #38.4.1, pp. 213–215. A brief, non-technical, profile of Bombieri. (DJM) #38.4.78

Bartocci, Claudio. Andrew Wiles, in #38.4.1, pp. 231–235. On Andrew Wiles and Fer-mat’s Last Theorem, including an interview of Wiles by Bartocci from October 1994.(DJM) #38.4.79

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Basawa, Ishwar. See #38.4.116.

Bass, Hyman. See #38.4.137.

Basulto Santos, Jesus; and Busto Guerrero, J. Javier. Gini’s concentration ratio(1908–1914). Journal Électronique d’Histoire des Probabilités et de la Statistique/ElectronicJournal for History of Probability and Statistics 6 (1) (2010), 42 pp. This paper discussesCorrado Gini’s work on measures of concentration and dispersion published between1908 and 1914. (LM) #38.4.80

Betti, Renato. Rene Thom. The conflict and genesis of forms, in #38.4.1, pp. 165–167.A very brief introduction to Thom and catastrophe theory. (DJM) #38.4.81

Betti, Renato. F. William Lawvere. The unity of mathematics, in #38.4.1, pp. 223–230.On the work of Lawvere on the logic of mathematics and categorification.(DJM) #38.4.82

Bingham, N.H. Finite additivity versus countable additivity. Journal Électronique d’His-toire des Probabilités et de la Statistique/Electronic Journal for History of Probability andStatistics 6 (1) (2010), 35 pp. This article reviews the historical background of first count-able additivity and finite additivity in probability theory and discusses the work of deFinetti and Savage, the problem of measure, and the theory of gambling as a test casefor the relative merits of finite and countable additivity. (LM) #38.4.83

Bischi, Gian Italo. A committed mathematician, in #38.4.1, pp. 115–116. On de Finetti’sconcern for mathematics education and the political engagement that led to his arrest.(DJM) #38.4.84

Blatter, Christian. Ein Mathematikstudium in den Funfzigerjahren [Studying math inthe fifties], in #38.4.4, pp. 107–128. #38.4.85

Boffetta, Guido; and Vulpiani, Angelo. Andrey Nikolaevich Kolmogorov. The founda-tions of probability. And more. . ., in #38.4.1, pp. 117–121. A brief introduction to the lifeand work of Kolmogorov. (DJM) #38.4.86

Bojarski, Bogdan; Ławrynowicz, Julian; and Prytula, Yaroslav G., eds. Lvov Mathe-matical School in the Period 1915–45 as Seen Today (Banach Center Publications, 87). War-saw: Polish Academy of Sciences, Institute of Mathematics, 2009, 158 pp. A collection ofarticles concerning the Lvov Mathematical School in the early 20th-century. Those withmore historical content are listed separately as: #38.4.98; #38.4.119; #38.4.122;#38.4.134; #38.4.151; #38.4.158; #38.4.173; and #38.4.177. (DJM) #38.4.87

Bolondi, Giorgio; Guerraggio, Angelo; and Nastasi, Pietro. The way we were. The pro-tagonists of the “Italian Spring” in the first decades of the twentieth century, in #38.4.1,pp. 11–23. After Paris and Heidelberg, the third ICM was held at Rome in 1908, in recog-nition of the strength of contemporary Italian mathematics. The article explores who was inRome at the time. (DJM) #38.4.88

Bolondi, Giorgio. Bourbaki. A mathematician from Poldavia, in #38.4.1, pp. 123–130.Remarks on the origins, philosophy, and output of Bourbaki. (DJM) #38.4.89

Borges, J.L. The dream, in #38.4.1, p. 169. A translation by Norman Thomas di Giov-anni of the poem El sueño. (DJM) #38.4.90

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Bottazzini, Umberto. Hilbert’s Problems. A research program for “future generations”,in #38.4.1, pp. 1–10. Opening this collaborative work on twentieth-century mathematicsand mathematicians, a discussion of Hilbert’s Problems. (DJM) #38.4.91

Brigaglia, Aldo. Emmy Noether. The mother of algebra, in #38.4.1, pp. 43–52. A por-trait of Emmy Noether. (DJM) #38.4.92

Brown, Laurie M., ed. Feynman’s Thesis. A New Approach to Quantum Theory.Hackensack, NJ: World Scientific, 2005, xxii+121 pp. The previously unpublisheddoctoral dissertation of Richard Feynman, “The principle of least action inquantum mechanics”, is accompanied by two related papers and an introduction.(KP) #38.4.93

Brumberg, V.A. Relativistic celestial mechanics on the verge of its 100 year anniversary.Celestial Mechanics and Dynamical Astronomy 106 (3) (2010), 209–234. The author gives asurvey of the developments in celestial mechanics in the past 100 years, with an emphasis onrelativistic celestial mechanics. The survey begins with the solution given by Sundman in1912 of the general three body problem and ends with a series of conjectures of futuredevelopments in celestial mechanics. See the review by George Contopoulos in Mathemat-ical Reviews 2600366 (2011e:70001). (LD) #38.4.94

Burckhardt, Johann Jakob; and Schnyder, Adolf. Andreas Speiser (1885–1970), in#38.4.4, pp. 129–161. #38.4.95

Buser, Peter. Heinz Huber und das Langenspektrum [Heinz Huber and the length spec-trum], in #38.4.4, pp. 163–193. #38.4.96

Busto Guerrero, J. Javier. See #38.4.80.

Chatterji, Srishti; and Ojanguren, Manuel. A glimpse of the de Rham era, in #38.4.4,pp. 195–240. #38.4.97

Chopin, Nicolas. See #38.4.157.

Chuyko, Halyna I. Functional analysis in Lviv after 1945, in #38.4.1, pp.79–84. #38.4.98

Cifarelli, D. Michele. Bruno de Finetti. The foundations of probability, in #38.4.1, pp.109–113. On de Finetti and his work in probability. (DJM) #38.4.99

Coen, Salvatore. See #38.4.174; and #38.4.157.

Crull, Elise. See #38.4.74.

dal Maso, Gianni. Ennio De Giorgi. Intuition and rigour, in #38.4.1, pp. 147–155. Asummary of the work of Italian mathematician Ennio De Giorgi. (DJM) #38.4.100

de la Harpe, Pierre. See #38.4.103.

de Werra, Dominique. See #38.4.101.

Descloux, Jean; and de Werra, Dominique. Les mathematiques appliquees a l’Ecolepolytechnique de Lausanne [Applied mathematics at the Ecole Polytechnique of Lausanne],in #38.4.4, pp. 241–245. (DJM) #38.4.101

di Giovanni, Norman Thomas. See #38.4.90.

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Duncan, Anthony; and Janssen, Michel. From canonical transformations to transfor-mation theory, 1926–1927: The road to Jordan’s Neue Begrundung. Studies in Historyand Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics40 (4) (2009), 352–362. A study of the crucial transition from matrix mechanics to the trans-formation theory of Jordan and Dirac, supplying the so-called “neue Begrundung” (newfoundation) of quantum mechanics. (KP) #38.4.102

Eliahou, Shalom; de la Harpe, Pierre; Hausmann, Jean-Claude; and Weber, Claude.Michel Kervaire (1927–2007), in #38.4.4, pp. 247–255. #38.4.103

Enzensberger, Hans. Hommage a Godel, in #38.4.1, pp. 77–78. A poem in homage toGodel. (DJM) #38.4.104

Farkas, Herschel. See #38.4.168.

Ferraro, Alessandra. Writing and mathematics in the work of Raymond Queneau, in#38.4.1, pp. 131–136. The article shows that Queneau had an early and sustained interestin mathematics (including attendance at Bourbaki meetings), long before the formation ofOulipo. (DJM) #38.4.105

Gauthier, Sebastien. La geometrie dans la geometrie des nombres: histoire du disciplineou histoire de pratiques, a partir des exemples de Minkowski, Mordell et Davenport [Thegeometry in the “geometry of numbers”, history of a discipline or a practice; the examplesof Minkowski, Mordell and Davenport]. Revue d’Histoire des Mathématiques 15 (2) (2009),183–230. Reflections on the types of geometric methods used in number theoretic investi-gations by Hermann Minkowski (1864–1909), Louis Mordell (1888–1972), and HaroldDavenport (1907–1969), showing that there was considerable variation between researchersand over time. The author considers the historiographical questions raised by use ofabstract categories such as “geometrical” against the complexities of actual practice.(DJM) #38.4.106

Gautschi, Walter. Alexander M. Ostrowski (1893–1986): His life, work, and students, in#38.4.4, pp. 257–278. #38.4.107

Gellai, Barbara. The Intrinsic Nature of Things. The Life and Science of Cornelius Lanc-zos. Providence, RI: American Mathematical Society, 2010, xv+168 pp. A biography ofCornelius Lanczos (1893–1974). See the review by Pedro J. Paul in Zentralblatt MATH1206.01044. (TBC) #38.4.108

Givental, Alexander B. See #38.4.73.

Guerraggio, Angelo. See #38.4.88.

Guerraggio, Angelo. Renato Caccioppoli. Naples: Fascism and the post-war period, in#38.4.1, pp. 97–107. On the Italian analyst Renato Caccioppoli (1904–1959), his ties toNaples, and the Italian political environment. (DJM) #38.4.109

Guerraggio, Angelo. Laurent Schwartz. Political commitment and mathematical rig-our, in #38.4.1, pp. 157–164. On Laurent Schwartz. His mathematics, his political engage-ment, and his butterflies. (DJM) #38.4.110

Guerraggio, Angelo. Stephen Smale. Mathematics and civil protest, in #38.4.1, pp.191–196. On the mathematics and politics of Stephen Smale. (DJM) #38.4.111

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Guerraggio, Angelo; and Paoloni, Giovanni. Vito Volterra. Translated from the Italianby Manfred Stern (Vita Mathematica 15). Basel: Birkhauser, 2011, xii+229 pp. This book isthe English translation of the original Italian volume published in 2008. It provides a syn-thesis of all the themes related to the Italian mathematician Volterra previously discussedand includes unpublished documents from Volterra’s correspondence held at the FondoVolterra at the Accademia dei Lincei in Rome. See the review by Reinhard Siegmund-Schu-ltze in Zentralblatt MATH 1208.01016. (LM) #38.4.112

Guerraggio, Angelo. La modernita di Vito Volterra [The “modern” Vito Volterra], inGabbani, Ilaria, ed., Matematica, cultura e società 2005 (Series (Nuova Serie) 2) (Pisa:Edizioni della Normale. Centro di Ricerca Matematica Ennio De Giorgi (CRM), 2006),pp. 87–123. This article is a short account of Vito Volterra’s life and work with an emphasison his contributions in the various fields of mathematics and on his political activity. Seethe review by Leo Corry in Mathematical Reviews (2007h:01008). (LM) #38.4.113

Gutknecht, Martin H. Numerical analysis in Zurich—50 years ago, in #38.4.4, pp.279–290. #38.4.114

Haefliger, Andre. Armand Borel (1923–2003), in #38.4.4, pp. 291–302. #38.4.115

Hall, Peter. See #38.4.116.

Hausmann, Jean-Claude. See #38.4.103.

Heyde, Christopher Charles. Selected Works of C.C. Heyde. Edited by Ross Maller,Ishwar Basawa, Peter Hall and Eugene Seneta (Selected Works in Probability and Statis-tics). New York, NY: Springer, 2010, xxxvii+463 pp. This volume presents 56 original arti-cles, (co-)authored by Prof. Christopher Charles Heyde (1939–2008) and published startingin the 1960s, concerning four major subject areas: inference for stochastic processes; ratesof convergence in the central limit theorem; probability theory, and branching processesand population genetics. It includes a biographical sketch and a complete list of Heyde’spublications up to 2010. See the review by Thorsten Dickhaus in Zentralblatt MATH1207.01041. (LM) #38.4.116

Hirzebruch, Friedrich. Bericht uber meine Zeit in der Schweiz in den Jahren 1948–1950[A report on my time in Switzerland in the years 1948–1950], in #38.4.4, pp.303–315. #38.4.117

Hungerbuhler, Norbert; and Schmutz, Martine. Michel Plancherel, une vie pour lesmathematiques et pour le prochain [Michel Plancherel, a life for mathematics and fellowhumans], in #38.4.4, pp. 317–342. #38.4.118

Ingarden, Roman Stanisław. My reminiscence from the Lvov Mathematical School(1932–1945), in #38.4.87, pp. 91–93. #38.4.119

Israel, Giorgio; and Millan, Gasca. The World as a Mathematical Game. John vonNeumann and Twentieth Century Science (Science Networks. Historical Studies 38). Basel:Birkhauser Verlag, 2009, xii+207 pp. This work gives an intellectual biography of Johnvon Neumann, presenting his many contributions in mathematics, economics, biology,physics, and computer science. The authors attempt to present these contributions in anunderstandable fashion, rather than giving a formal presentation of von Neumann’sresults. See the review by Thomas Philip Wakefield in Mathematical Reviews 2680868(2011f:01009). (LD) #38.4.120

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Jaeck, Frederic. Elements structurels en analyse fonctionnelle: trois notes de Frechet surles operations lineaires [Structural elements in functional analysis: Three notes by Frechetconcerning linear operations]. Archive for History of Exact Sciences 64 (4) (2010), 461–483.The author studies three notes published by M. Frechet between 1904 and 1906 concerninglinear operations and discusses their role in the emergence of functional analysis at thebeginning of the twentieth century. (LM) #38.4.121

Janssen, Michel. See #38.4.102.

Jaroszewska, Magdalena; and Musielak, Julian. About Professor Zdzisław Krygowskion the 50th anniversary of his death, in #38.4.87, pp. 53–64. #38.4.122

Joas, Christian; and Lehner, Christoph. The classical roots of wave mechanics: Schro-dinger’s transformations of the optical-mechanical analogy. Studies in History and Philos-ophy of Science. Part B. Studies in History and Philosophy of Modern Physics 40 (4) (2009),338–351. The authors present the thesis that Schrodinger’s wave mechanics had roots inWilliam Rowan Hamilton’s formal analogy between optics and mechanics. The authorsargue that this analogy was an influence on Schrodinger’s use of the de Broglie hypothesisof wave-particle duality. See the review by Arne Schirrmacher in Mathematical Reviews2570459 (2011f:81005). (LD) #38.4.123

Kawai, Takahiro. See #38.4.168.

Khesin, Boris A. See #38.4.73.

Kingman, J.F.C. The first Erlang century—and the next. Queueing Systems 63 (1–4)(2009), 3–12. The author presents a brief history of queueing theory with a focus on the1909 paper of Erlang. The importance of Pollaczek and Kendall in this history is discussed.The paper ends with some speculations on the future directions of queueing theory. See thereview by Randall James Swift in Mathematical Reviews 2576004 (2011b:60368).(LD) #38.4.124

Kleisli, Heinrich. Zur Geschichte des Mathematischen Instituts der Universitat Freiburg(Schweiz) [On the history of the Mathematical Institute of the University of Freiburg(Switzerland)], in #38.4.4, pp. 343–350. #38.4.125

Kolmogorov, A.N. Selected Works. Volume 4. Mathematics and Mathematicians. Book1. On Mathematics [in Russian]. Edited by A.N. Shiryaev. Moscow: “Nauka”, 2007, 456pp. This is part one of the fourth volume of the six-volume selected works of A.N.Kolmogorov. It presents various articles and Kolmogorov’s essays on the life and worksof several mathematicians including Newton and Lobachevski�i. (LM) #38.4.126

Kolmogorov, A.N. Selected Works. Volume 4. Mathematics and Mathematicians. Book2. On Mathematicians [in Russian]. Edited by A.N. Shiryaev. Moscow: “Nauka”, 2007, 384pp. This is part 2 of the fourth volume of the six-volume selected works of A.N. Kolmogo-rov. It opens with Kolmogorov’s essay “Mathematics” and includes 80 mathematical arti-cles from the Great Soviet Encyclopeda (1938, 1954, and 1974) and 19 articles published inthe period 1929–1965. (LM) #38.4.127

Kramer, Jurg. Martin Eichler—Leben und Werk [Martin Eichler—life and work], in#38.4.4, pp. 351–371. #38.4.128

Kuchment, Peter. See #38.4.168.

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Lam, T.Y. See #38.4.137.

La Teana, Francesco. Paul Adrien Maurice Dirac. The search for mathematical beauty,in #38.4.1, pp. 55–62. A brief biography of Dirac. (DJM) #38.4.129

Ławrynowicz, Julian. See #38.4.1.

Le Corbusier. Le Corbusier’s door of miracles, in #38.4.1, pp. 221–222. An extract fromLe Corbusier’s The Modulor, on mathematics and music. (DJM) #38.4.130

Lehner, Christoph. See #38.4.123.

Lucchetti, Roberto. Godfrey H. Hardy. A brilliant mind, in #38.4.1, pp. 37–41. A briefbiography of Hardy. (DJM) #38.4.131

Lucchetti, Roberto. The theoretical intelligence and the practical vision of John vonNeumann, in #38.4.1, pp. 63–68. A brief exposition of von Neumann’s life and work.(DJM) #38.4.132

Lucchetti, Roberto. John F. Nash Jr. The myth of Icarus, in #38.4.1, pp. 137–146. Abrief biography of Nash, together with an introduction to game theory. (DJM) #38.4.133

Maligranda, Lech. Władysław Orlicz (1903–1990)—Polish mathematician, in #38.4.87,pp. 65–78. #38.4.134

Maller, Ross. See #38.4.116.

Mani, Peter. Mathematik an der Universitat Bern im neunzehnten und zwanzigstenJahrhundert [Mathematics at the University of Bern in the 19th and 20th century], in#38.4.4, pp. 373–388. #38.4.135

Marsden, Jerrold E. See #38.4.73.

McCoy, Barry M. Mikio Sato and mathematical physics. Publications of the ResearchInstitute for Mathematical Sciences 47 (1) (2011), 19–28. The paper presents “the deep andlasting contributions of Mikio Sato [b. 1928] to the mathematical physics of statisticalmechanics and random matrix theory”. (KP) #38.4.136

Millan, Gasca. See #38.4.120.

Milnor, John. Collected Papers of John Milnor. Vol. 5. Algebra. Edited by Hyman Bassand T.Y. Lam. Providence, RI: American Mathematical Society, 2010, xii+425 pp. Thevolume is divided into three parts: algebras and groups; the congruence subgroup problem,and algebraic K-theory and quadratic forms. Each section includes an introduction andthere are afterwords to some of the papers. (DJM) #38.4.137

Musielak, Julian. See #38.4.122.

Nastasi, Pietro. See #38.4.88.

Neuenschwander, Erwin. 100 Jahre Schweizerische Mathematische Gesellschaft [100years of the Swiss Mathematical Society], in #38.4.4, pp. 23–105. #38.4.138

Odefey, Alexander. “. . .das regste mathematische Leben Deutschlands” – Mathematikan der Universitat Hamburg von 1919 bis 1945 [“. . .the most lively mathematical activitiesin Germany” – Mathematics at Hamburg University from 1919 to 1945]. Mitteilungen derMathematischen Gesellschaft in Hamburg 28 (2009), 81–106. A look at the lives and work of

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the participants of the Mathematical Seminar at Hamburg University from the University’sfounding in 1919 until 1945. See the review by Witold Wiesław, in Zentralblatt MATH1210.01014. (DJM) #38.4.139

Odifreddi, Piergiorgio. Kurt Godel. Completeness and incompleteness, in #38.4.1, pp.69–76. A nontechnical description of Godel and his incompleteness results.(DJM) #38.4.140

Ojanguren, Manuel. See #38.4.97.

Panyushev, Dmitri I.; and Vinberg, Ernest B. The work of Vladimir Morozov on Liealgebras. Transformation Groups 15 (4) (2010), 1001–1013. The authors claim thatMorozov’s papers have an unwarranted reputation for impenetrability. On the occasionof his centenary, they here focus on three of his more important results in Lie algebras.(DJM) #38.4.141

Paoloni, Giovanni. See #38.4.122.

Parsons, Charles. Godel and philosophical idealism. Philosophia Mathematica (3) 18 (2)(2010), 166–192. This paper explores the question of how Godel read Kant. His argumentthat relativity theory supports the idea of the ideality of time is discussed, in an attempt toexplain the assertion that science can go beyond the appearances and “approach thethings”. Leibniz and post-Kantian idealism are also discussed as documented in the corre-spondence with Gotthard Gunther. (LM) #38.4.142

Pedroni, Marco. Vladimir Igorevich Arnold. Universal mathematician, in #38.4.1, pp.209–211. A brief summary of the major works of V.I. Arnold. (DJM) #38.4.143

Peres, Ennio. Martin Gardner. The mathematical jester, in #38.4.1, pp. 217–220. OnMartin Gardner’s puzzles and games. (DJM) #38.4.144

Perez, Rodrigo A. A brief but historical article of Siegel. Notices of the American Math-ematical Society 58 (4) (2011), 558–566. An analysis of two papers by Carl L. Siegel, pub-lished in the Annals of Mathematics in 1942 on the small denominator problem. The authorconsiders the background to the papers, their contents and significance, and subsequentdevelopments. (DJM) #38.4.145

Pietsch, Albrecht. Erhard Schmidt and his contributions to functional analysis. Math-ematische Nachrichten 283 (1) (2010), 6–20. This article reviews the work of Erhard Schmidtin the field of functional analysis. Schmidt is particularly known for his work on the Gram-Schmidt orthogonalization process, Hilbert-Schmidt integral equations, Hilbert-Schmidtoperators and Schmidt decomposition. This article was written for the 50th anniversaryof Schmidt’s death. See the review by Lech Maligranda in Mathematical Reviews2598590 (2011c:01007). (LD) #38.4.146

Plancherel, Michel. Mathematiques et mathematiciens en Suisse (1850–1950) [Mathe-matics and mathematicians in Switzerland (1850–1950)], in #38.4.4, pp. 1–21. #38.4.147

Pliss, V.I. Life and work of Aleksandr Mikhailovich Lyapunov. Vestnik St. PetersburgUniversity. Mathematics 40 (2) (2007), 93–98. A biography of Lyapunov (1857–1918). Seethe review by Ulo Lumiste in Zentralblatt MATH 1207.01031. (TBC) #38.4.148

Plotnitsky, Arkady. From Como to Copenhagen: The beginnings and ends of comple-mentarity, in Quantum Theory: Reconsideration of Foundations—4 (AIP Conference Pro-

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ceedings 962) (Melville, NY: American Institute of Physics, 2007), pp. 185–194. Argues thatNiels Bohr’s rethinking of the concept of complementarity in interpreting quantummechanics circa 1927 was “defined by a shift from a more philosophical to a more exper-imental argument.” (KP) #38.4.149

Pogoda, Zdzisław. The beginnings of differential geometry in Poland [in Polish]. Antiqui-tates Mathematicae 1 (2007), 115–129. The author discusses the role of various figures in fieldof differential geometry in Poland during the period 1890–1950. Included in this discussion arethe mathematicians K. _Zorawski, A. Hoborski, S. Gołab, and W. Slebodzinski. See the reviewby Taras Kudryk in Mathematical Reviews 2604766 (2011e:01016). (LD) #38.4.150

Prytula, Yaroslav G. See #38.4.87.

Prytula, Yaroslav G. Remarks on the history of mathematics in Lviv up to the middle ofthe XXth century, in #38.4.1, pp. 17–26. #38.4.151

Quinto, Eric Todd. See #38.4.168.

Raussen, Martin; and Valette, Alain. An interview with Beno Eckmann, in #38.4.4, pp.389–401. #38.4.152

Rechenberg, Helmut. Werner Heisenberg—Die Sprache der Atome. Leben und Wirken—Eine wissenschaftliche Biographie. Die “Fröhliche Wissenschaft” (Jugend bis Nobelpreis)[Werner Heisenberg—The Language of Atoms. Life and Work—A Scientific Biography.The “Jolly Science” (From Youth to Nobel Prize)]. Vols. 1 and 2. Berlin: Springer, 2010.xxx+1001 pp. The author was Heisenberg’s last doctoral student in Munich. He based thisextensive biographical volume (covering the period up to Heisenberg’s Nobel Prize forquantum mechanics, awarded in 1933) on archival documents, some previously unknownor unused, as well as on publications and various secondary sources. The study tends toemphasize the “internal history” of Heisenberg’s scientific work over its political or institu-tional context. See the review by Horst-Heino von Borzeszkowski in Zentralblatt MATH1210.01042. (KP) #38.4.153

Richey, Matthew. The evolution of Markov chain Monte Carlo methods. AmericanMathematical Monthly 117 (5) (2010), 383–413. This paper gives a survey of the develop-ment of Markov chain Monte Carlo methods from the 1950s through the 1990s. See thereview by Robert Juricevic in Mathematical Reviews 2663247 (2011e:65007).(LD) #38.4.154

Rigamonti, Gianni. Bertrand Russell. Paradoxes and other enigmas, in #38.4.1, pp.27–35. A summary of Russell’s work on foundations of mathematics. (DJM) #38.4.155

Robert, Alain M. L’institut de mathematiques de Neuchatel 1950–1990 [The NeuchatelInstitute of Mathematics 1950–1990], in #38.4.4, pp. 423–439. #38.4.156

Robert, Christian P.; Chopin, Nicolas; and Rousseau, Judith. Harold Jeffreys’s theoryof probability revisited. Statistical Science 24 (2) (2009), 141–172. Provides a guide formodern readers to Jeffreys’s 1939 classic of Bayesian statistics, Theory of Probability.(KP) #38.4.157

Rousseau, Judith. See #38.4.157.

Schinzel, Andrzej. The Lvov years of Wacław Sierpinski, in #38.4.1, pp.87–89. #38.4.158

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Schmutz, Martine. See #38.4.118.

Schnyder, Adolf. See #38.4.95.

Segovia, Baldomero Rubio. Tribute to Miguel de Guzman: Reflections on mathemat-ical education centered on the mathematical analysis, in Velasco, M.V. et al., eds., Proceed-ings of the 2nd International School “Advanced Courses of Mathematical Analysis 2”,Granada, Spain, September 20–24, 2004 (Hackensack, NJ: World Scientific, 2007), pp.141–150. The author, the first doctoral student of the noted Spanish mathematician Guz-man (1936–2004), describes the nature and impact of his work in harmonic analysis and inmathematics education. The second part of the article treats the changing role of mathe-matical analysis in Spanish secondary mathematics instruction. See the review by Jose Bon-et in Zentralblatt MATH 1207.01017. (KP) #38.4.159

Senato, Domenico. Gian-Carlo Rota. Mathematician and philosopher, in #38.4.1, pp.181–189. Personal reminiscences of Gian-Carlo Rota. (DJM) #38.4.160

Seneta, Eugene. See #38.4.116.

Seth, Suman. Mystik and Technik: Arnold Sommerfeld and early-Weimar quantumtheory. Berichte zur Wissenschaftsgeschichte 31 (4) (2008), 331–352. The author discussesthe “mystical” approach that Sommerfeld used in his quantum theory. This approach, inwhich Sommerfeld introduced quantum numbers, is contrasted with the Copenhagen inter-pretation of quantum mechanics introduced by Bohr. See the review by Arne Schirrmacherin Mathematical Reviews 2572060 (2011c:81003). (LD) #38.4.161

Sheynin, Oscar. Alexandr A. Chuprov: Life, Work, Correspondence. Heinrich Strecker,ed., (2nd revised edition), Gottingen: Vandenhoeck & Ruprecht unipress, 2011, 206 pp.This is the first major biographical study of the Russian statistician Chuprov (1874–1926), containing substantial excerpts from his correspondence with colleagues such asAnderson and Markov. (KP) #38.4.162

Shiryaev, A.N. See #38.4.126; and #38.4.127.

Sinisgalli, Leonardo. Carciopholus Romanus, in #38.4.1, pp. 53–54. The Italian poetSinisgalli encounters Steiner’s Roman surface. Excerpted from Furor mathematicus.(DJM) #38.4.163

Soifer, Alexander. Ramsey theory before Ramsey, prehistory and early history: Anessay in 13 parts, in Soifer, Alexander, ed., Ramsey Theory. Yesterday, Today, and Tomor-row (Progress in Mathematics 285) (Boston, MA: Birkhauser, 2011), pp. 1–26. Traces theemergence of some of the combinatorics concepts later articulated more fully by the Britishmathematician Frank P. Ramsey (1903–1930). (KP) #38.4.164

Stern, Manfred. See #38.4.122.

Sternberg, Shlomo. See #38.4.168.

Stewart, G.W. G.W. Stewart. Selected Works with Commentaries (Contemporary Math-ematicians). Misha E. Kilmer and Dianne P. O’Leary, eds., Boston, MA: Birkhauser, 2010,xii+729 pp. Published in honor of the seventieth birthday of the renowned computationallinear algebra researcher G.W. Stewart, this compilation includes a brief biography andpublications list. See the review by Grozio Stanilov in Zentralblatt MATH 1210.01048.(KP) #38.4.165

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Strebel, Kurt. Rolf Nevanlinna in Zurich, in #38.4.4, pp. 471–485. #38.4.166

Stroock, Daniel W.; and Yor, Marc. Remembering Paul Malliavin. Notices of the Amer-ican Mathematical Society 58 (4) (2011), 568–579. Besides the introductory biographicalcomments of Stroock and Yor, this appreciation of Paul Malliavin (1925–2010) includescontributions on his mathematics and personal interactions from Jean-Pierre Kahane,Richard Gundy, Daniel W. Stroock, Leonard Gross, and Michele Vergne.(DJM) #38.4.167

Struppa, Daniele C.; Farkas, Herschel; Kawai, Takahiro; Kuchment, Peter; Quinto, EricTodd; Sternberg, Shlomo; and Taylor, Alan. Remembering Leon Ehrenpreis (1930–2010).Notices of the American Mathematical Society 58 (5) (2011), 674–681. The authors offerbrief individual reminiscences and appreciations of Ehrenpreis. (DJM) #38.4.168

Szabo, Peter Gabor. A contribution to the preliminary history of nonlinear optimization[in Hungarian]. Alkalmazott Matematikai Lapok 25 (2008) (2) (2009), 81–96. Provides aHungarian translation with technical/biographical exposition of “a forgotten article bythe Hungarian mathematician S. Lipka (1899–1990) on the subject of nonlinear optimiza-tion. . . In his work, Lipka considered the inequality constrained nonlinear optimizationproblem motivated by an analytical mechanical investigation. He reduced the problem toan algebraic question based on quadratic forms.” (KP) #38.4.169

Taylor, Alan. See #38.4.168.

Termini, Settimo. The life, death and miracles of Alan Mathison Turing, in #38.4.1, pp.91–96. An exposition of computability and brief comments on Turing’s life, and death.(DJM) #38.4.170

Valery, Paul. Verlaine and Poincare, in #38.4.1, pp. 25–26. On observing the poet andthe scientist. Reprinted from “Passage de Verlaine”, in Études littéraires.(DJM) #38.4.171

Valette, Alain. See #38.4.152.

Varchenko, Alexander N. See #38.4.73.

Vassilev, Victor A. See #38.4.73.

Vinberg, Ernest B. See #38.4.141.

Viro, Oleg Ya. See #38.4.73.

Vulpiani, Angelo. See #38.4.86.

Weber, Claude. See #38.4.103.

Weber, Claude. Quelques souvenirs sur le troisieme cycle romand de mathematiques etle seminaire des Plans-sur-Bex [Some remembrances on the third Romanic cycle of math-ematics and the seminar Plans-sur-Bex], in #38.4.4, pp. 487–503. #38.4.172

Wolenski, Jan. Logic and the foundations of mathematics in Lvov (1900–1939), in#38.4.87, pp. 27–44. #38.4.173

Zakalyukin, Vladimir M. See #38.4.73.

Zappa, Guido. Gaetano Scorza e le matrici de Riemann [Gaetano Scorza and Riemannmatrices], in Coen, Salvatore, ed., Seminari di Geometria. 2005–2009 [Geometry Seminars.

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2005–2009]. Papers from the seminars held at the University of Bologna, Bologna,2005–2009 (Bologna: Universita degli Studi di Bologna, Dipartimento di Matematica,2010, viii+184 pp.), pp. 167–180. This paper discusses the scientific activity of GaetanoScorza after the year 1915. It also analyzes the scientific relations of Scorza with CarloRosati and Abraham Albert. (LM) #38.4.174

Zappa, Guido. L’uso dei metodi trascendenti nella scuola italiana di Geometria alge-brica dal 1895 al 1915, con particolare attenzione ai contributi di Gaetano Scorza [Theuse of transcendental methods by Italian geometers from 1895 to 1915, with a focus onthe contributions of Gaetano Scorza], in Coen, Salvatore, ed., Seminari di Geometria.2005–2009 [Geometry Seminars. 2005–2009]. Papers from the seminars held at the Univer-sity of Bologna, Bologna, 2005–2009 (Bologna: Universita degli Studi di Bologna, Dipar-timento di Matematica, 2010, viii+184 pp.), pp. 149–165. This paper first examines thecontributions of Italian geometers on algebraic surfaces starting in 1895. The author dis-cusses in particular the identification of the irregularity of an algebraic surface with thenumber of Picard’s independent integrals of the first sort. Second, he analyzes the papersof Enriques-Severi and Bagnera-de Franchis on hyperelliptic surfaces and illustrates thecontributions of Italian geometers to abelian varieties of higher dimension during the per-iod 1910–1915. (LM) #38.4.175

Zehnder, Eduard. Jurgen Moser (1928–1999), in #38.4.4, pp. 505–517. #38.4.176

_Zelazko, Wiesław. Banach’s school and topological algebras, in #38.4.1, pp. 45–51. #38.4.177

See also: #38.4.39; #38.4.65; and #38.4.70.

Reviewers

Index of authors of reviews in Mathematical Reviews, Zentralblatt MATH, and otherpublications that are referenced in these abstracts.

Berg, Michael — #38.4.1.Bonet, José — #38.4.159.von Borzeszkowski, Horst-Heino —#38.4.153.Brückler, Franka Miriam — #38.4.32.Contopoulos, George — #38.4.94.Corry, Leo — #38.4.113.van Dalen, Benno — #38.4.20.D’Ambrosio, Ubiratan — #38.4.19.Dauben, Joseph W. — #38.4.52; and#38.4.53.Dawson Jr., John W. — #38.4.71.Dickhaus, Thorsten — #38.4.116.Esposito, Salvatore — #38.4.69.

Høyrup, Jens — #38.4.30.Juricevic, Robert — #38.4.154.Katz, Victor V. — #38.4.3.Kichenassamy, Satyanad — #38.4.18.Koetsier, Teun — #38.4.50.Kudryk, Taras — #38.4.150.Lumiste, Ülo — #38.4.148.Maligranda, Lech — #38.4.146.Martzloff, Jean-Claude — #38.4.29.McRae, Alan S. — #38.4.62.Murawski, Roman — #38.4.15; #38.4.36; and#38.4.70.Pambuccian, Victor V. — #38.4.14.Paúl, Pedro J. — #38.4.108.

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Peckhaus, Volker — #38.4.56; and #38.4.72.Rickles, Dean — #38.4.13.Schirrmacher, Arne — #38.4.123; and#38.4.161.Schlote, Karl-Heinz — #38.4.61.Siegmund-Schultze, Reinhard — #38.4.112.Sonar, Thomas — #38.4.31.

Stanilov, Grozio — #38.4.165.Swift, Randall James — #38.4.124.Thiele, Rüdiger — #38.4.17; and #38.4.45.Wakefield, Thomas Philip — #38.4.120.Wiesław, Witold — #38.4.139.Yazdi, Hamid-Reza Giahi — #38.4.23.

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