Mathematics Resources

8/20/2019 Mathematics Resources

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Ted Chinburg's Lectures on Algebraic Number Theory

http://www.math.upenn.edu/~ted/620F09/hw-620SchedTab.html http://www.math.upenn.edu/~ted/620S10/hw-621SchedTab.html http://www.refseek.com/directory/educational_videos.html http://www.math.upenn.edu/~ted/721S11/hw-721SchedTab.html

Lectures by Adrian Banner of Princeton University

Calculus I : http://bit.ly/18IN4AE Calculus II : http://bit.ly/19JZFnq Calculus III : Multivariable Calculus : http://bit.ly/1b5XhXK Linear Algebra : http://bit.ly/1b5XtGs

Eugenia Cheng and Simon Willerton of the University of Sheffield, a.k.a. The Catsters' Video Lectures on Category Theory : http://www.youtube.com/TheCatsters

Abstract Algebra lectures by Prof. Benedict Gross, Harvard : http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra

Lectures on Complex Analysis by Tibra Ali : http://www.perimeterscholars.org/435.html

Lectures on Complex Analysis by Prof. P. A. S. Sree Krishna: http://www.youtube.com/playlist?list=PLbMVogVj5nJQ9MLfcY8Q9xArBSUKp-Hbd

Lectures by Denis Dalidovich on Variational Calculus and Gaussian Integrals: http://www.perimeterscholars.org/461.html

Lectures on Abstract Algebra : http://www.youtube.com/playlist?list=PLF379B0552AD17780

Lecture Videos from the program on Topology and Field Theories : http://www3.nd.edu/~stolz/field_theory_videos.html

Lectures on Functional Analysis by Prof. P.D. Srivastava, Department of Mathematics, IIT Kharagpur : http://www.youtube.com/course?list=EC5022A32B9BCFE3E4

Lectures by Anna Koustouki on Algebra : http://www.perimeterscholars.org/459

.html

Geometric Representation Theory by John Baez and James Dolan : http://math.ucr.edu/home/baez/qg-fall2007/

Lectures on Distributions and Special Functions, by Dan Wohns : http://www.perimeterscholars.org/462.html



Algebraic topology by Prof. N. J. Wildberger of the School of Mathematics and Statistics, UNSW : http://www.youtube.com/playlist?list=PL6763F57A61FE6FE8

Miles Reid's lectures on Algebraic Geometry and Algebraic Surfaces

http://www.mathnet.or.kr/new_VOD/sub1.php?key_s_title=Lectures+on+Basic+Algebraic+Geometry+by+Miles+Reid+%28WCU+project%29 http://vod.mathnet.or.kr/sub1.php?key_s_title=Lectures+on+Algebraic+Surfaces+by+Miles+Reid+%28WCU+project%29

Videos from Summer School of Clay Mathematics Institute on Arithmetic Geometry (You should have a solid foundation of algebraic geometry in order to comprehend these videos) : http://www.uni-math.gwdg.de/aufzeichnungen/SummerSchool/

A mini course on Additive Combinatorics taught at IAS by Boaz Barak, Luca Trevisan, and Avi Wigderson : http://www.cs.princeton.edu/theory/index.php/Main/AdditiveCombinatoricsMinicourse

Lectures on Real Analysis, from Bilkent University by Prof. Alexandre Gontch

arov : http://courses.bilkent.edu.tr/course_videos.php?courseid=12

Lectures on Real Analysis by Prof. S.H. Kulkarni, Department of Mathematics, IIT Madras : http://www.youtube.com/playlist?list=PLbMVogVj5nJSxFihV-ec4A3z_FOGPRCo-

Point Set Topology videos :

http://www.youtube.com/user/ThoughtSpaceZero#grid/user/F94A6F65866F3F31 http://bit.ly/15QrBVP

Sets, Counting, and Probability by Paul G. Bamberg, Harvard University : http://www.extension.harvard.edu/open-learning-initiative/sets-counting-probability

The Fourier Transform and Its Applications, taught by Brad Osgood at Stanford : http://see.stanford.edu/see/lecturelist.aspx?coll=84d174c2-d74f-493d-92ae-c3f45c0ee091

Courses by Stephen Boyd at Stanford:

Introduction to Linear Dynamical Systems - http://see.stanford.edu/see/lect

urelist.aspx?coll=17005383-19c6-49ed-9497-2ba8bfcfe5f6 Convex Optimization I - http://see.stanford.edu/see/lecturelist.aspx?coll=2db7ced4-39d1-4fdb-90e8-364129597c87 Convex Optimization II - http://see.stanford.edu/see/lecturelist.aspx?coll=523bbab2-dcc1-4b5a-b78f-4c9dc8c7cf7a

Prof. Gilbert Strang's course on Linear Algebra at MIT : http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/index.htm



Differential Equations, taught by Arthur Mattuck at MIT : http://videolectures.net/mit1803s06_differential_equations/

Video lectures for elementary differential equations with linear algebra : http://www.math.armstrong.edu/faculty/hollis/DEvideos/

This URL provides video lectures on key concepts of calculus : http://www.online.math.uh.edu/HoustonACT/videocalculus/

This URL contains a series of video lectures on Calculus I from University of Missouri - Kansas City : http://www.youtube.com/watch?v=CtRAHmeWSC0&lr=1

College Algebra taught by Professor Richard Delaware, which consists of 40video lectures emphasizing the concepts of college algebra : http://www.infocobuild.com/education/audio-video-courses/mathematics/math110-college-algebra-umkc.html

More lectures on Real Analysis by Professor Francis Su Harvey, Mudd College

(The video and audio quality of the lectures are poor) : http://www.youtube.com/watch?v=sqEyWLGvvdw&feature=list_related&playnext=1&list=SP04BA7A9EB907EDAF

MIT OCW - Calculus Revisited: Multivariable Calculus. This course is a study of the calculus of functions of several variables (vector arithmetic and vector calculus) : http://www.infocobuild.com/education/audio-video-courses/mathematics/calculus-revisited-multivariable-mitocw.html

General Topology Lectures : http://www.youtube.com/watch?v=yWi2_H-JUqY&feature=BFa&list=PL00F2E5C8D5D5F18B

Differential Geometry lectures by Prof. N. J. Wildberger : http://www.youtube.com/playlist?list=PLIljB45xT85DWUiFYYGqJVtfnkUFWkKtP

Very quick graduate Probability Theory : http://www.youtube.com/watch?v=Tk4ubu7BlSk

Very good webpage for Partial Differential Equation : http://ee.eng.usf.edu/people/snider2.html

Numerical Methods at University of South Florida and Arizona State University : http://nm.mathforcollege.com/videos/

ZFC Set Theory (More oriented around Lambda Calculus and Computer Science. Sequence of Lectures is in arbitrary order, in the playlist) : http://www.youtube.com/watch?v=xalFtiY-JoQ&feature=BFa&list=PLE9C1CAA6D2DB2FBD

GRASP lecture series from University of Texas at Austin, has tons of lecture



videos on many topics : http://www.ma.utexas.edu/users/benzvi/GRASP.html

Lectures for seven courses are available (Single Variable Calculus, Multivariable Calculus, Differential Equations, Statistical Methods, Fundamentals of Mathematics, Functions of a Complex Variable, and Introduction to Number Theory).Lectures on Precalculus is being developed : http://www2.latech.edu/~schroder/videos.htm

Multi-linear Algebra (Tensor Products, etc.) : http://www.youtube.com/playlist?list=PLB7041DC6FDA5452C ( Pretty good videos ).

Intro to differential forms (A good foundation of vector calculus is needed) : http://www.youtube.com/playlist?list=PLB8F2D70E034E9C29&feature=plcp

Maths and Mathematica - Pedro Vieira: http://www.perimeterscholars.org/259.html

Lectures for Differential Topology

http://vimeo.com/29434116 http://vimeo.com/29434762 http://vimeo.com/29436993

An extensive lecture series from the same guy who has done the Multi-Linearalgebra videos : http://www.youtube.com/user/litsky/videos

Measure and Integration series from NPTEL resources: http://nptel.iitm.ac.in/courses/111101005/ (Book to be read along with the videos : http://books.google.ie/books?id=CIsOVPm6zE8C&source=gbs_navlinks_s).

Functional Analysis Lectures by Prof. P.D. Srivastava, IIT Kanpur : http://nptel.iitm.ac.in/courses/111105037/

Calculus of Variations (20 lectures) and Integral Equations (20 lectures), by Dr. Malay Banerjee & Prof. D. Bahuguna, IIT Kanpur : http://nptel.iitm.ac.in/courses/111104025/

Mathematical Logic lectures by Prof. Arindama Singh, IIT Madras : http://nptel.iitm.ac.in/courses/111106052/

Some seminars & a hardcore video course on Algebraic Topology : http://www.youtube.com/user/arichar6

This "Physics Forums" thread contains a list of tons of lecture videos, compiled by PF members : http://bit.ly/14hBf5o

Tons of Video lectures which would be of utmost help in case the above list



wasn't enough :

http://www.infocobuild.com/education/audio-video-courses/mathematics/mathematics.html http://videolectures.net/Top/Mathematics/ http://freevideolectures.com/Subject/Mathematics http://www.onlinecollege.org/2009/10/19/100-incredible-open-lectures-for-math-geeks/ http://freescienceonline.blogspot.in/2006/09/mathematics-video-lectures.html http://www.puremaths.info/video-lectures-in-mathematics/ http://www.perimeterscholars.org/317.html (Check the "Mathematical Review" section) http://www.math.umn.edu/~adams/FM500x/ http://www.pinterest.com/mathematicsprof/ http://www.perimeterscholars.org/396.html (Check the lectures in the "FrontEnd")

http://mathoverflow.net/questions/1714/best-online-mathematics-videos

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