Math
364 items from rossant/awesome-math ★16,574
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Abelian Categories tac.mta.ca
Peter Freyd.
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Abstract and Concrete Categories: The Joy of Cats tac.mta.ca
Jiri Adamek, Horst Herrlich, George E. Strecker.
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Toposes, Triples and Theories tac.mta.ca
Michael Barr, Charles Wells.
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Basic Concepts of Enriched Category Theory tac.mta.ca
G. M. Kelly.
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The Calculus of Functions of Several Variables synechism.org
Dan Sloughter.
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SymPy sympy.org
Python library for symbolic algebra, calculus, equation solving, matrices, and code generation.
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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.
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Precalculus stitz-zeager.com
Carl Stitz, Jeff Zeager.
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Statistical Thinking for the 21st Century statsthinking21.org
Russell A. Poldrack.
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UCLA Statistical Methods and Data Analytics stats.oarc.ucla.edu
Tutorials and examples for R, Stata, SAS, and SPSS.
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Statistics Done Wrong statisticsdonewrong.com
Alex Reinhart.
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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.
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The Stacks Project stacks.math.columbia.edu
Maintained by Aise Johan de Jong (Columbia).
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Functional Analysis spot.colorado.edu
Lawerence Baggett.
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Analysis of Functions of a Single Variable spot.colorado.edu
Lawerence Baggett.
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The Geometry and Topology of Three-Manifolds slmath.org
W. Thurston.
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Graph Theory: Lecture Notes sites.psu.edu
Christopher Griffin.
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Complex Analysis sites.math.washington.edu
Donald E. Marshall.
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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.
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Probability: Theory and Examples sites.math.duke.edu
Rick Durrett (5th edition).
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Introduction to Algebraic Geometry sites.lsa.umich.edu
Igor V. Dolgachev.
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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.
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Algebraic Number Theory Course Notes sites.google.com
Matthew Baker (Georgia Tech).
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Singular singular.uni-kl.de
Computer algebra system for polynomial computations in commutative algebra, algebraic geometry, and singularity theory.
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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.
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A Computational Introduction to Number Theory and Algebra shoup.net
Victor Shoup.
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Mathematical Logic sgslogic.net
Stephen G. Simpson (Pennsylvania State University).
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Set Theory and Foundations of Mathematics settheory.net
Sylvain Poirier.
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Seeing Theory seeing-theory.brown.edu
Daniel Kunin, Jingru Guo, Tyler Dae Devlin, and Daniel Xiang.
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Lecture Notes: Fourier Transform and its Applications see.stanford.edu
Brad Osgood.
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Rocq Prover rocq-prover.org
Open-source interactive theorem prover and dependently typed programming language for mechanized mathematics and verified software.
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Book of Proof richardhammack.github.io
Richard Hammack (Virginia Commonwealth University).
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General Topology rexresearch1.com
Stephen Willard.
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Introduction to Continuum Mechanics rbowen.engr.tamu.edu
Ray M. Bowen.
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Introduction to Real Analysis ramanujan.math.trinity.edu
William F. Trench (Trinity University, Texas).
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Real Analysis for Graduate Students r-bass.scholar.uconn.edu
Richard F. Bass.
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Calculus and Linear Algebra. Vol. 2 quod.lib.umich.edu
Wilfred Kaplan, Donald J. Lewis.
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Calculus and Linear Algebra. Vol. 1 quod.lib.umich.edu
Wilfred Kaplan, Donald J. Lewis.
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Quanta Magazine quantamagazine.org
Features latest research breakthroughs in an accessible style for non-experts.
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An Introduction to Stochastic Processes in Continuous Time pub.math.leidenuniv.nl
Flora Spieksma (Leiden University).
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ProofWiki proofwiki.org
Collaborative repository of mathematical definitions, lemmas, and proofs.
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Probabilistic Machine Learning probml.github.io
Introductory and advanced books by Kevin Murphy, with free draft PDFs, code, figures, exercises, and teaching resources.
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Language, Proof, and Logic, Second Edition press.uchicago.edu
Paid textbook by Dave Barker-Plummer, Jon Barwise, and John Etchemendy.
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The Princeton Companion to Mathematics press.princeton.edu
Paid reference edited by Timothy Gowers, June Barrow-Green, and Imre Leader.
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Yet Another Introductory Number Theory Textbook poritz.net
Jonathan A. Poritz.
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Fundamentals of Geometry polly.phys.msu.ru
Free geometry text by Oleg A. Belyaev.
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Computability - An introduction to recursive function theory poincare.matf.bg.ac.rs
Nigel Cutland (University of Hull).
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Set Theory on the Stanford Encyclopedia of Philosophy plato.stanford.edu
Peer-reviewed overview of set theory with historical context and references.
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Algebraic Topology pi.math.cornell.edu
Allen Hatcher.
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Complex Analysis personalpages.manchester.ac.uk
Charles Walkden.
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