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Math

364 items from rossant/awesome-math ★16,574

  1. Abelian Categories tac.mta.ca

    Peter Freyd.

    site link ↗
  2. Abstract and Concrete Categories: The Joy of Cats tac.mta.ca

    Jiri Adamek, Horst Herrlich, George E. Strecker.

    site link ↗
  3. Toposes, Triples and Theories tac.mta.ca

    Michael Barr, Charles Wells.

  4. SymPy sympy.org

    Python library for symbolic algebra, calculus, equation solving, matrices, and code generation.

  5. Symbolab symbolab.com

    Online solver with step-by-step solutions, graphing, calculators, and practice tools. Some solution steps and study features require a paid plan.

    site link ↗
  6. Precalculus stitz-zeager.com

    Carl Stitz, Jeff Zeager.

  7. Statistical Thinking for the 21st Century statsthinking21.org

    Russell A. Poldrack.

  8. UCLA Statistical Methods and Data Analytics stats.oarc.ucla.edu

    Tutorials and examples for R, Stata, SAS, and SPSS.

  9. Statistics Done Wrong statisticsdonewrong.com

    Alex Reinhart.

  10. Harvard Statistics 110: Probability stat110.hsites.harvard.edu

    Free probability course with a textbook, lecture videos, exercises, and an optional edX version by Joe Blitzstein.

  11. The Stacks Project stacks.math.columbia.edu

    Maintained by Aise Johan de Jong (Columbia).

    site link ↗
  12. Functional Analysis spot.colorado.edu

    Lawerence Baggett.

  13. Analysis of Functions of a Single Variable spot.colorado.edu

    Lawerence Baggett.

  14. Graph Theory: Lecture Notes sites.psu.edu

    Christopher Griffin.

  15. Complex Analysis sites.math.washington.edu

    Donald E. Marshall.

  16. Mathematics and AI sites.math.washington.edu

    University of Washington Fall 2025 graduate course with public slides, Lean examples, projects, and readings on machine learning, formalization, autoformalization, mathematical discovery, and ethics.

  17. Probability: Theory and Examples sites.math.duke.edu

    Rick Durrett (5th edition).

  18. Introduction to Algebraic Geometry sites.lsa.umich.edu

    Igor V. Dolgachev.

  19. Commutative Algebra Notes sites.lsa.umich.edu

    Free graduate course notes by Mel Hochster, from an introductory course through advanced topics such as Cohen-Macaulay rings, multiplicities, and étale maps.

  20. Algebraic Number Theory Course Notes sites.google.com

    Matthew Baker (Georgia Tech).

  21. Singular singular.uni-kl.de

    Computer algebra system for polynomial computations in commutative algebra, algebraic geometry, and singularity theory.

  22. AI for Mathematics and Theoretical Computer Science simons.berkeley.edu

    Simons Institute and SLMath workshop archive with recorded talks on proof assistants, automated reasoning, machine learning, and mathematical discovery.

  23. Mathematical Logic sgslogic.net

    Stephen G. Simpson (Pennsylvania State University).

  24. Set Theory and Foundations of Mathematics settheory.net

    Sylvain Poirier.

  25. Seeing Theory seeing-theory.brown.edu

    Daniel Kunin, Jingru Guo, Tyler Dae Devlin, and Daniel Xiang.

  26. Rocq Prover rocq-prover.org

    Open-source interactive theorem prover and dependently typed programming language for mechanized mathematics and verified software.

  27. Book of Proof richardhammack.github.io

    Richard Hammack (Virginia Commonwealth University).

  28. General Topology rexresearch1.com

    Stephen Willard.

  29. Introduction to Continuum Mechanics rbowen.engr.tamu.edu

    Ray M. Bowen.

  30. Introduction to Real Analysis ramanujan.math.trinity.edu

    William F. Trench (Trinity University, Texas).

  31. Real Analysis for Graduate Students r-bass.scholar.uconn.edu

    Richard F. Bass.

  32. Calculus and Linear Algebra. Vol. 2 quod.lib.umich.edu

    Wilfred Kaplan, Donald J. Lewis.

  33. Calculus and Linear Algebra. Vol. 1 quod.lib.umich.edu

    Wilfred Kaplan, Donald J. Lewis.

  34. Quanta Magazine quantamagazine.org

    Features latest research breakthroughs in an accessible style for non-experts.

  35. An Introduction to Stochastic Processes in Continuous Time pub.math.leidenuniv.nl

    Flora Spieksma (Leiden University).

  36. ProofWiki proofwiki.org

    Collaborative repository of mathematical definitions, lemmas, and proofs.

  37. Probabilistic Machine Learning probml.github.io

    Introductory and advanced books by Kevin Murphy, with free draft PDFs, code, figures, exercises, and teaching resources.

  38. Language, Proof, and Logic, Second Edition press.uchicago.edu

    Paid textbook by Dave Barker-Plummer, Jon Barwise, and John Etchemendy.

  39. The Princeton Companion to Mathematics press.princeton.edu

    Paid reference edited by Timothy Gowers, June Barrow-Green, and Imre Leader.

  40. Fundamentals of Geometry polly.phys.msu.ru

    Free geometry text by Oleg A. Belyaev.

  41. Computability - An introduction to recursive function theory poincare.matf.bg.ac.rs

    Nigel Cutland (University of Hull).

  42. Set Theory on the Stanford Encyclopedia of Philosophy plato.stanford.edu

    Peer-reviewed overview of set theory with historical context and references.

  43. Algebraic Topology pi.math.cornell.edu

    Allen Hatcher.

  44. Complex Analysis personalpages.manchester.ac.uk

    Charles Walkden.

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