awesome-math
A curated list of awesome mathematics resources
https://github.com/rossant/awesome-math
Last synced: about 9 hours ago
JSON representation
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Encyclopedia
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Mathematics
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
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Foundations of Mathematics
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Category Theory
- Introduction to Category Theory and Categorical Logic - Thomas Streicher
- An Introduction to Category Theory - Harold Simmons
- Category Theory - Steve Awodey (Carnegie Mellon University)
- Category Theory - B. Pareigis
- Category Theory for Computing Science - Michael Barr, Charles Wells
- Toposes, Triples and Theories - Michael Barr, Charles Wells
- Abelian Categories - Peter Freyd
- Categories and Groupoids - P. J. Higgins
- Basic Concepts of Enriched Category Theory - G. M. Kelley
- Abstract and Concrete Categories: The Joy of Cats - Jiri Adamek, Horst Herrlich, George Strecker
- Seven Sketches in Compositionality: An Invitation to Applied Category Theory - Brendan Fong and David I. Spivak (MIT)
- Category Theory in Context - Emily Riehl (John Hopkins University)
- Seven Sketches in Compositionality: An Invitation to Applied Category Theory - Brendan Fong and David I. Spivak (MIT)
- Toposes, Triples and Theories - Michael Barr, Charles Wells
- Abelian Categories - Peter Freyd
- Categories and Groupoids - P. J. Higgins
- Basic Concepts of Enriched Category Theory - G. M. Kelley
- Abstract and Concrete Categories: The Joy of Cats - Jiri Adamek, Horst Herrlich, George Strecker
- Category Theory in Context - Emily Riehl (John Hopkins University)
- Category Theory - B. Pareigis
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Homotopy Type Theory
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Logic
- Introduction to Logic - Michael Genesereth, Eric Kao (Stanford University)
- An Introduction to Formal Logic - P.D. Magnus (University at Albany)
- A Problem Course in Mathematical Logic - Stefan Bilaniuk (Trent University)
- Computability - An introduction to recursive function theory - Nigel Cutland (University of Hull)
- Language, Proof, and Logic - Jon Barwise, John Etchemendy
- Mathematical Logic - Helmut Schwichtenberg
- Mathematical Logic - Stephen G. Simpson (Pennsylvania State University)
- Formal Logic - Miguel Palomino
- Predictive Arithmetic - Edward Nelson
- Proofs and Concepts: the fundamentals of abstract mathematics - Joy Morris, Dave Morris
- Mathematical Reasoning: Writing and Proof - Ted Sundstrom
- Open Logic Textbook - collaborative effort, main contributors listed [here](https://openlogicproject.org/people/)
- A Problem Course in Mathematical Logic - Stefan Bilaniuk (Trent University)
- Language, Proof, and Logic - Jon Barwise, John Etchemendy
- Mathematical Logic - Stephen G. Simpson (Pennsylvania State University)
- Formal Logic - Miguel Palomino
- Proofs and Concepts: the fundamentals of abstract mathematics - Joy Morris, Dave Morris
- QED - an interactive textbook - Terence Tao
- Open Logic Textbook - collaborative effort, main contributors listed [here](https://openlogicproject.org/people/)
- Computability - An introduction to recursive function theory - Nigel Cutland (University of Hull)
- forall x: Calgary (An Introduction to Formal Logic) - P.D. Magnus and Tim Button, remixed by Aaron Thomas-Bolduc and Richard Zach (Open Logic Project)
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Set Theory
- Sets, Relations, Functions - Ivo Düntsch, Günther Gediga
- An Introduction to Set Theory - William A. R. Weiss
- Set Theory and Foundations of Mathematics - Sylvain Poirier
- Set Theory on the Stanford Encyclopedia of Philosophy
- Sets, Relations, Functions - Ivo Düntsch, Günther Gediga
- Set Theory and Foundations of Mathematics - Sylvain Poirier
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Surreal Numbers
- Surreal Numbers - How two ex-students turned on to pure mathematics and found total happiness - D. E. Knuth
- Surreal Numbers and Games
- Conway names, the simplicity hierarchy and the surreal number tree - Philip Ehrlich
- Surreal Numbers and Games
- Surreal Numbers - How two ex-students turned on to pure mathematics and found total happiness - D. E. Knuth
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Transition To Pure Rigour Math
- Basic Concepts of Mathematics - Elias Zakon
- Book of Proof - Richard Hammak (Virginia Commonwealth University)
- How to Prove It: A Structured Approach (3rd Edition) - Daniel J. Velleman (Professor).
- Basic Concepts of Mathematics - Elias Zakon
- Book of Proof - Richard Hammak (Virginia Commonwealth University)
- How to Prove It: A Structured Approach (3rd Edition) - Daniel J. Velleman (Professor).
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Type Theory
- Proofs and Types - Jean-Yves Girard
- Intuitionistic Type Theory - Per Martin-Lof
- Type Theory and Functional Programming - Simon Thompson
- Programming in Martin-Lof’s Type Theory - Bengt Nordstrom, Kent Petersson, Jan M. Smith
- Proofs and Types - Jean-Yves Girard
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Geometry and Topology
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Algebraic Geometry
- A Brief Introduction to Algebraic Geometry - R.C. Churchill
- Introduction to Algebraic Geometry - Igor V. Dolgachev
- Foundations of Algebraic Geometry - Ravi Vakil
- Algebraic Geometry - Jean Gallier, Stephen S. Shatz (University of Pennsylvania)
- Algebraic Geometry - J.S. Milne
- Algebraic Geometry - Andreas Gathmann (University of Kaiserslautern)
- The Stacks Project - Maintained by Aise Johan de Jong (Columbia)
- Foundations of Algebraic Geometry - Ravi Vakil
- Algebraic Geometry - Jean Gallier, Stephen S. Shatz (University of Pennsylvania)
- Algebraic Geometry - J.S. Milne
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Algebraic Statistics
- Lectures on Algebraic Statistics - Mathias Drton, Bernd Sturmfels, Seth Sullivant
- An Introduction to Algebraic Statistics - Cristiano Bocci, Luca Chiantini and Anthony V. Geramita
- Algebraic Statistics - Karl-Heinz Zimmermann
- Algebraic Statistics for Computational Biology - Pachter, and Sturmfels.
- Algebraic Statistics for Computational Biology - Pachter, and Sturmfels.
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Algebraic Topology
- Algebraic Topology - Allen Hatcher
- A Concise Course in Algebraic Topology - J. P. May
- Introduction to Algebraic Topology - Martin Cadek
- Algebra and Topology - Pierre Schapira (Paris VI University)
- Lecture Notes in Algebraic Topology - James F. Davis, Paul Kirk (Indiana University)
- Algebraic Topology - Michael Starbird
- Lecture Notes on Algebraic Topology - Jie Wu
- Algebraic Topology - Allen Hatcher
- A Concise Course in Algebraic Topology - J. P. May
- Introduction to Algebraic Topology - Martin Cadek
- Algebraic Topology - Allen Hatcher
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Differential Geometry
- Introduction to Differential Geometry - Joel W. Robbin, Dietmar A. Salamon
- Notes on Differential Geometry and Lie Groups - Jean Gallier (University of Pennsylvania)
- Topics in Differential Geometry - Peter W. Michor
- Lectures on Differential Geometry - Wulf Rossmann
- An Introduction to Riemannian Geometry - Sigmundur Gudmundsson (Lund University)
- Semi-Riemann Geometry and General Relativity - Shlomo Sternberg
- Discrete Differential Geometry - Keenan Crane
- The Geometry and Topology of Three-Manifolds - W. Thurston
- Notes on Differential Geometry and Lie Groups - Jean Gallier (University of Pennsylvania)
- An Introduction to Riemannian Geometry - Sigmundur Gudmundsson (Lund University)
- Discrete Differential Geometry - Keenan Crane
- Topics in Differential Geometry - Peter W. Michor
- Lectures on Differential Geometry - Wulf Rossmann
- Semi-Riemann Geometry and General Relativity - Shlomo Sternberg
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Graph Theory
- Fundamentals of Geometry - Oleg A. Belyaev
- A=B - M. Petkovsek, H. Wilf, D. Zeilberger
- Elements - Euclid
- Mathematical Illustrations - Bill Casselman
- Byrne's Euclid - Oliver Byrne
- Plane Geometry - George Wentworth and David Eugene Smith (1913)
- Planes and Spherical Trigonometry - George Wentworth and David Eugene Smith (1915)
- Coordinate Geometry - Henry Buchard Fine and Henry Dallas Thompson (1911)
- Analytic Geometry - Lewis Parker Siceloff, George Wentworth, David Eugene Smith (1922)
- Coordinate Geometry - Henry Buchard Fine and Henry Dallas Thompson (1911)
- Euclid's Elements Redux - Daniel Callahan
- Fundamentals of Geometry - Oleg A. Belyaev
- Elements - Euclid
- Plane Geometry - George Wentworth and David Eugene Smith (1913)
- Planes and Spherical Trigonometry - George Wentworth and David Eugene Smith (1915)
- Analytic Geometry - Lewis Parker Siceloff, George Wentworth, David Eugene Smith (1922)
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Topology
- Elementary Applied Topology - Robert Ghrist (UPenn)
- Introduction to Topology
- Introduction to Topology - Alex Küronya
- Introductory Topology - Jim L. Brown
- General Topology - Pierre Schapira (Paris VI University)
- Elementary Topology Problem Textbook
- General Topology - Jesper M. Møller
- Topology Topics
- General Topology - Jesper M. Møller
- Elementary Applied Topology - Robert Ghrist (UPenn)
- Introduction to Topology - Alex Küronya
- Elementary Topology Problem Textbook
- Topology Topics
- Introduction to Topology
- General Topology - Stephen Willard
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Learning Platforms
- Khan Academy
- Coursera
- edX
- Brilliant
- WooTube
- Mathigon
- Calculus.org
- Ximera
- MathRelay
- Almost Fun
- Oxford Mathematics
- Calculus.org
- Math Academy
- Derivative Calculus Solver - by-step differentiation tool focusing on the chain rule and substitution logic.
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Learn to Learn
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Magazines
- Quanta Magazine - Features latest research breakthroughs in an accessible style for non-experts.
- Bulletin of the American Mathematical Society - Expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic.
- Notices of the American Mathematical Society - Publicizes activities of the Society and features surveys, reports, news, announcements, and opinions on industry trends, academia, and research.
- European Mathematical Society Magazine - The Magazine features announcements about meetings and conferences, articles outlining current trends in scientific development, reports on member societies, and many other informational items.
- Mathematics Today by Institute of Mathematics and its Applications - News, opinions, and articles related to mathematics, so the reader stays updated.
- Crux Mathematicorum by Canadian Mathematical Society - source of unique and challenging mathematical problems designed for the secondary and undergraduate levels. It includes an Olympiad Corner which is helpful for math competitions.
- Notices of the American Mathematical Society - Publicizes activities of the Society and features surveys, reports, news, announcements, and opinions on industry trends, academia, and research.
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Mathematical Biology
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Stochastic processes
- Mathematical Biology - Jeffrey Chasnov
- Mathematical Biology - Jeffrey Chasnov
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Mathematical Physics
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Stochastic processes
- Introduction to Continuum Mechanics - Ray. M. Bowen
- Mathematical Tools for Physics - James Nearing
- Mechanism of the Heavens (1831) - Mary Somerville
- Evan Chen - MIT. 2012 ~ 2018. Covers Combinatorics, Number Theory, Honors Algebra, Set Theory, Real Analysis, Graph Theory, and more.
- Dexter Chua - Harvard. 2013 ~ 2018. Covers Analysis, Probability, Linear Algebra, Complex Analysis, Numerical Analysis, Statistics, Optimization, Algebraic Topology, Quantum Field Theory, and more.
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Programming Languages
Categories
Probability and Statistics
161
Analysis
99
Geometry and Topology
71
Foundations of Mathematics
64
Algebra
62
Encyclopedia
46
Tools
27
Youtube Series
26
Number Theory
23
Learning Platforms
14
Numerical Analysis
12
Books
12
Misc
12
Combinatorics
12
Mathematical Physics
9
Mathematics for Computer Science
7
Magazines
7
Signal processing
6
Blogs
5
Meetings and Conferences
3
Mathematical Biology
2
Learn to Learn
1
Sub Categories
Statistics
78
Probability Theory
65
Stochastic processes
50
Real Analysis
36
Linear Algebra
22
Graph Theory
21
Logic
21
Category Theory
20
Analytic Number Theory
17
Surreal Numbers
16
Topology
15
Complex Analysis
15
Ordinary Differential Equations
15
Abstract Algebra
14
Differential Geometry
14
Functional Analysis
13
Algebraic Topology
11
Algebraic Geometry
10
Galois Theory
8
Lie Algebras
8
Measure Theory
8
Transition To Pure Rigour Math
6
Algebraic Number Theory
6
Set Theory
6
Harmonic Analysis
6
Type Theory
5
Algebraic Statistics
5
Group Theory
5
Partial Differential Equations
4
Statistical Learning
4
Chaos Theory
2
Ring Theory
1
Homotopy Type Theory
1