awesome-math
github.com/rossant/awesome-math ↗A curated list of awesome mathematics resources
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- 3Blue1BrownVideo Courses and Series
Visual explanations of core mathematics, including calculus, linear algebra, and differential equations.
- AIM Open Textbook InitiativeReference Works
Open mathematics textbooks organized by course and evaluated by the American Institute of Mathematics editorial board.
- Almost FunLearning Platforms
Free interactive middle- and high-school mathematics lessons, practice problems, and teacher resources from a nonprofit organization.
- AMS Open Math NotesReference Works
Free course notes, textbooks, and research expositions hosted by the American Mathematical Society.
- Basic Concepts of MathematicsProof and Problem Solving
Elias Zakon.
- Basics of Algebra, Topology, and Differential CalculusReference Works
Jean Gallier (University of Pennsylvania).
Community and Further Reading
- 3Blue1BrownBlogs
Animated explanations of mathematics by Grant Sanderson.
- AI for MathematicsRelated Curated Lists
Research index covering AI-assisted mathematical reasoning, discovery, formal proof, and related datasets. Individual entries require independent review.
- BetterExplainedBlogs
Maintained by Kalid Azad.
- BridgesMeetings and Conferences
Annual conference on mathematical connections in art, music, architecture, and culture.
- Bulletin of the American Mathematical SocietyJournals and Magazines
Expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic.
- Chalkdust MagazineJournals and Magazines
Independent magazine for mathematically curious readers, with free expository articles, interviews, puzzles, and downloadable issues.
Combinatorics and Discrete Mathematics
- A=B
Marko Petkovšek, Herbert Wilf, and Doron Zeilberger on algorithms for proving hypergeometric identities.
- Analytic Combinatorics
Philippe Flajolet, Robert Sedgewick.
- Applied Combinatorics
Mitchel T. Keller, William T. Trotter.
- Basic Combinatorics
Carl G. Wagner (University of Tennessee).
- Discrete Mathematics: An Open Introduction
Free fourth-edition undergraduate textbook by Oscar Levin, with inquiry activities, more than 750 exercises, solutions and hints, and coverage of proofs, graph theory, counting, sequences, and discrete structures.
- generatingfunctionology
Herbert Wilf.
Foundations and Logic
- Abelian CategoriesCategory Theory
Peter Freyd.
- Abstract and Concrete Categories: The Joy of CatsCategory Theory
Jiri Adamek, Horst Herrlich, George E. Strecker.
- An Introduction to Formal LogicLogic
P.D. Magnus (University at Albany).
- An Introduction to Set TheorySet Theory
William A. R. Weiss.
- Archive of Formal ProofsFormal Mathematics and Theorem Proving
Refereed collection of Isabelle proof libraries, examples, and scientific developments maintained against current Isabelle releases.
- Basic Concepts of Enriched Category TheoryCategory Theory
G. M. Kelly.
Geometry and Topology
- A Brief Introduction to Algebraic GeometryAlgebraic Geometry
R.C. Churchill.
- A Concise Course in Algebraic TopologyAlgebraic Topology
J. P. May.
- Algebra and TopologyAlgebraic Topology
Pierre Schapira (Sorbonne University).
- Algebraic GeometryAlgebraic Geometry
Jean Gallier, Stephen S. Shatz (University of Pennsylvania).
- Algebraic GeometryAlgebraic Geometry
J.S. Milne.
- Algebraic GeometryAlgebraic Geometry
Andreas Gathmann (RPTU).
Algebra
- Abstract Algebra: Harvard ExtensionAbstract Algebra
Benedict Gross.
- Abstract Algebra: Harvard Extension VideosAbstract Algebra
Benedict Gross.
- Abstract Algebra: Theory and ApplicationsAbstract Algebra
Thomas W. Judson.
- A Course in Universal AlgebraAbstract Algebra
Free online edition of Stanley Burris and H. P. Sankappanavar's graduate text on universal algebra.
- A First Course in Linear AlgebraLinear Algebra
Robert A. Beezer.
- Algebraic MethodsAbstract Algebra
F. Oggier.
Number Theory
- A Computational Introduction to Number Theory and Algebra
Victor Shoup.
- A Course on Number Theory
Peter J. Cameron.
- Algebraic Number TheoryAlgebraic Number Theory
J.S. Milne.
- Algebraic Number Theory Course NotesAlgebraic Number Theory
Matthew Baker (Georgia Tech).
- Analytic Number TheoryAnalytic Number Theory
Andreas Strömbergsson (Uppsala University).
- Analytic Number TheoryAnalytic Number Theory
Otto Forster (LMU Munich).
Analysis
- A Concise Course in Complex Analysis and Riemann SurfacesComplex Analysis
Wilhelm Schlag.
- A Crash Course on the Lebesgue Integral and Measure TheoryMeasure Theory
Steve Cheng.
- Active CalculusReal Analysis
Matt Boelkins.
- Advanced CalculusReal Analysis
Lynn Loomis, Schlomo Sternberg.
- Advanced Real AnalysisReal Analysis
Curtis T. McMullen.
- A First Course in Complex AnalysisComplex Analysis
Matthias Beck, Gerald Marchesi, Dennis Pixton, Lucas Sabalka.
Showing a sample of 369 resources. View the full list on GitHub →