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 Awesome Math !Awesome (https://cdn.rawgit.com/sindresorhus/awesome/d7305f38d29fed78fa85652e3a63e154dd8e8829/media/badge.svg) (https://github.com/sindresorhus/awesome)
 Awesome Math !Awesome (https://cdn.rawgit.com/sindresorhus/awesome/d7305f38d29fed78fa85652e3a63e154dd8e8829/media/badge.svg) (https://github.com/sindresorhus/awesome)
A curated list of awesome mathematics resources.
All resources are freely available except those with a 💲 icon.
 Contents
 Contents
⟡ Contents (#contents)
⟡ General Resources (#general-resources)
* **Learning Platforms** (#learning-platforms) 
* **Learn to Learn** (#learn-to-learn) 
* **Youtube Series** (#youtube-series) 
* **Tools** (#tools) 
* **Questions and Answers** (#questions-and-answers)
* **Encyclopedia** (#encyclopedia) 
* **Books** (#books) 
* **Magazines** (#magazines) 
* **Blogs** (#blogs) 
* **Misc** (#misc) 
* **Learning Platforms** (#learning-platforms) 
* **Learn to Learn** (#learn-to-learn) 
* **Youtube Series** (#youtube-series) 
* **Tools** (#tools) 
* **Questions and Answers** (#questions-and-answers) 
* **Encyclopedia** (#encyclopedia) 
* **Books** (#books) 
* **Magazines** (#magazines) 
* **Blogs** (#blogs) 
* **Meetings and Conferences** (#meetings-and-conferences)
* **Misc** (#misc) 
⟡ Branches of Mathematics (#branches-of-mathematics)
* **Foundations of Mathematics** (#foundations-of-mathematics) 
 * **Transition To Pure Rigour Math** (#transition-to-pure-rigour-math) 
@@ -71,7 +72,7 @@
 General Resources
 General Resources
Learning Platforms
@@ -84,9 +85,9 @@
⟡ Mathigon (https://mathigon.org/)
⟡ Calculus.org (http://calculus.org/)
⟡ Ximera (https://ximera.osu.edu/) : free interactive mathematics textbooks (Ohio State University)
⟡ MathRelay (https://www.mathrelay.com/)
⟡ Almost Fun (https://www.almostfun.org/lessons/)
⟡ Oxford Mathematics (https://www.youtube.com/c/OxfordMathematics)
⟡ Math Academy (https://mathacademy.com/)
Learn to Learn
@@ -112,6 +113,7 @@
⟡ Mathologer (https://www.youtube.com/@Mathologer)
⟡ The Math District (https://www.youtube.com/@TheMathDistrict)
⟡ Mathematical Monk (https://www.youtube.com/@mathematicalmonk)
⟡ The Math Sorcerer (https://www.youtube.com/@TheMathSorcerer)
Tools
@@ -134,6 +136,11 @@
⟡ Free Math (https://freemathapp.org)
⟡ xhub (https://chrome.google.com/webstore/detail/xhub/anidddebgkllnnnnjfkmjcaallemhjee)
⟡ CopyPasteMathjax (https://www.copypastemathjax.com/)
⟡ Finance calculators (https://www.financecharts.com/pages/5724-retirement-calculators-and-stock-market-tips)
⟡ Mathcheap (https://mathcheap.xyz)
⟡ Midpoint Calculator (https://midpointcalculator.co)
⟡ Quartiles Calculator (https://quartilecalculator.net)
⟡ Corca Editor (https://corca.io/)
Questions and Answers
@@ -147,8 +154,8 @@
⟡ ProofWiki (https://proofwiki.org/wiki/Main_Page)
⟡ Wolfram Mathworld (http://mathworld.wolfram.com/)
⟡ The On-Line Encyclopedia of Integer Sequences (https://oeis.org) - Great compendium of many different integer sequences. Founded 1964 by N. J. A. Sloane.
⟡ 💲 The Princeton Companion to Mathematics (https://press.princeton.edu/books/hardcover/9780691118802/the-princeton-companion-to-mathematics) - Timothy Gowers (Professor, Fields medallist), June Barrow-Green (Professor), and Imre 
Leader (Professor).
⟡ 💲 The Princeton Companion to Mathematics (https://press.princeton.edu/books/hardcover/9780691118802/the-princeton-companion-to-mathematics) - Timothy Gowers (Professor, Fields medallist), June Barrow-Green (Professor), and Imre Leader 
(Professor).
⟡ 💲 Encyclopedia of Distances (4th Edition) (https://link.springer.com/book/10.1007/978-3-662-52844-0) - Michel Marie Deza, Elena Deza.
Books
@@ -164,11 +171,11 @@
Magazines
⟡ Quanta Magazine (https://www.quantamagazine.org/mathematics/) - Features latest research breakthroughs in an accessible style for non-experts. 
⟡ Quanta Magazine (https://www.quantamagazine.org/mathematics/) - Features latest research breakthroughs in an accessible style for non-experts.
⟡ Bulletin of the American Mathematical Society
 (https://www.ams.org/journals/bull/all_issues.html) - 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 (http://www.ams.org/cgi-bin/notices/amsnotices.pl?article_id=fullissue&article_type=gallery&gallery_type=fullissue) - Publicizes activities of the Society and features surveys, reports, 
news, announcements, and opinions on industry trends, academia, and research.
⟡ Notices of the American Mathematical Society (http://www.ams.org/cgi-bin/notices/amsnotices.pl?article_id=fullissue&article_type=gallery&gallery_type=fullissue) - Publicizes activities of the Society and features surveys, reports, news, 
announcements, and opinions on industry trends, academia, and research.
⟡ European Mathematical Society Magazine
 (https://euromathsoc.org/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 (https://ima.org.uk/publications/mathematics-today/) - News, opinions, and articles related to mathematics, so the reader stays updated.
@@ -183,6 +190,12 @@
⟡ Mathsisfun (https://www.mathsisfun.com) simple text lightweight site for students up to highschool
⟡ MathematicsIsAScience (https://calculus123.com/wiki/Peter_Saveliev) - Peter Saveliev (Professor of mathematics at Marshall University, Huntington WV, USA)
Meetings and Conferences
⟡ MathsJam (https://mathsjam.com/) - monthly local recreational maths/puzzle meetups and an annual gathering in Staffordshire, England
⟡ Talking Maths in Public (https://talkingmathsinpublic.uk/) - a conference for maths communicators, running every two years, usually in the UK
⟡ Bridges (https://www.bridgesmathart.org/) - an annual conference on mathematical connections in art, music, architecture, and culture. The 2025 meeting is in Eindhoven, Netherlands.
Misc
⟡ Areas of mathematics on Wikipedia (https://en.wikipedia.org/wiki/Areas_of_mathematics)
⟡ Paul's Online Math Notes (http://tutorial.math.lamar.edu/) - Paul Dawkins (Lamar University)
@@ -193,7 +206,7 @@
⟡ Convex Optimization (https://web.stanford.edu/~boyd/cvxbook/) - Stephen Boyd and Lieven Vandenberghe
⟡ Fabrice Baudoin's Notes (https://fabricebaudoin.wordpress.com/) - Both research and lecture notes on many topics, Including Diffusions on foliated manifold, Stochastic Calculus, Global analysis in Dirichlet spaces, and more.
 Branches of Mathematics
 Branches of Mathematics
Content Format \
📖 Books \
@@ -203,8 +216,9 @@
Foundations of Mathematics
Transition To Pure Rigour Math
⟡ 📝 Basic Concepts of Mathematics (http://www.trillia.com/zakon1.html) - Elias Zakon
⟡ 📝 Book of Proof (https://www.people.vcu.edu/~rhammack/BookOfProof/) - Richard Hammak (Virginia Commonwealth University)
⟡ 📖💲 How to Prove It: A Structured Approach (3rd Edition) (https://www.cambridge.org/highereducation/books/how-to-prove-it/6D2965D625C6836CD4A785A2C843B3DA) - Daniel J. Velleman (Professor).
⟡ 📝 Book of Proof (https://richardhammack.github.io/BookOfProof/) - Richard Hammak (Virginia Commonwealth University)
⟡ 📖 How to Prove It: A Structured Approach (3rd Edition) (https://ia800501.us.archive.org/7/items/how-to-prove-it-a-structured-approach-daniel-j.-velleman/How%20to%20Prove%20It%20A%20Structured%20Approach%20%28Daniel%20J.%20Velleman%29.pdf) - 
Daniel J. Velleman (Professor).
Set Theory
@@ -243,7 +257,7 @@
⟡ 📝 Basic Concepts of Enriched Category Theory (http://www.tac.mta.ca/tac/reprints/articles/10/tr10abs.html) - G. M. Kelley
⟡ 📝 Abstract and Concrete Categories: The Joy of Cats (http://www.tac.mta.ca/tac/reprints/articles/17/tr17abs.html) - Jiri Adamek, Horst Herrlich, George Strecker
⟡ 📝 Seven Sketches in Compositionality: An Invitation to Applied Category Theory (http://math.mit.edu/~dspivak/teaching/sp18/7Sketches.pdf) - Brendan Fong and David I. Spivak (MIT)
⟡ 📝 Category Theory in Context (http://www.math.jhu.edu/~eriehl/context/) - Emily Riehl (John Hopkins University) 
⟡ 📝 Category Theory in Context (http://www.math.jhu.edu/~eriehl/context/) - Emily Riehl (John Hopkins University)
Type Theory
⟡ 📝 Proofs and Types (http://www.paultaylor.eu/stable/prot.pdf) - Jean-Yves Girard
@@ -274,8 +288,7 @@
Algebraic Number Theory
⟡ 📝 Introduction to Algebraic Number Theory (http://www1.spms.ntu.edu.sg/~frederique/ANT10.pdf)
⟡ 📝 Introduction to Algebraic Number Theory (http://www1.spms.ntu.edu.sg/~frederique/ANT10.pdf) - F. Oggier
⟡ 📝 Introduction to Algebraic Number Theory (https://feog.github.io/ANT10.pdf) - F. Oggier
⟡ 📝 Algebraic Number Theory (http://www.jmilne.org/math/CourseNotes/ANT.pdf) - J.S. Milne
⟡ 📝 Algebraic Number Theory Course Notes (http://people.math.gatech.edu/~mbaker/pdf/ANTBook.pdf) - Matthew Baker (Georgia Tech)
⟡ 📝 A Course In Algebraic Number Theory (http://www.math.uiuc.edu/~r-ash/ANT.html) - Robert Ash
@@ -302,7 +315,7 @@
⟡ 📝 Introduction to Abstract Algebra (https://zodml.org/sites/default/files/Introduction_to_Abstract_Algebra_0.pdf) - D. S. Malik, John N. Mordeson, M.K. Sen (Creighton University)
⟡ 📝 Introduction to Modern Algebra (http://aleph0.clarku.edu/~djoyce/ma225/algebra.pdf) - David Joyce (Clark University)
⟡ 📝 Algebraic Methods (http://www1.spms.ntu.edu.sg/~frederique/AA11.pdf) - F. Oggier
⟡ 📝 Algebraic Methods (https://feog.github.io/AA11.pdf) - F. Oggier
⟡ 📝 Abstract Algebra : Theory and Applications (http://abstract.ups.edu/download/aata-20150812.pdf) - Thomas W. Judson, Robert A. Beezer (Austin State University)
⟡ 📝 An Undergraduate Course in Abstract Algebra (http://www.maths.usyd.edu.au/u/bobh/UoS/rfwhole.pdf) - Robert Howlett
⟡ 📝 Elements of Abstract and Linear Algebra (http://www.math.miami.edu/~ec/book) - E.H. Connell (University of Miami)
@@ -334,6 +347,7 @@
⟡ 📝 Immersive Linear Algebra (http://immersivemath.com/ila/index.html) - J. Ström, K. Åström, and T. Akenine-Möller
⟡ 📝 Interactive Linear Algebra (https://textbooks.math.gatech.edu/ila/) - Dan Margalit and Joseph Rabinoff
⟡ 📝 Linear Algebra, Infinite Dimensions, and Maple (https://people.math.gatech.edu/~herod/Hspace/Hspace.html) - James Herod
⟡ 📖 Linear Algebra Done Right (https://linear.axler.net/) - Sheldon Axler
Ring Theory
@@ -344,7 +358,8 @@
⟡ 📝 An Introduction to Galois Theory (http://www.maths.gla.ac.uk/~ajb/dvi-ps/Galois.pdf) - Andrew Baker (University of Glasgow)
⟡ 📝 Fields and Galois Theory (http://www.jmilne.org/math/CourseNotes/FT.pdf) - J.S. Milne
⟡ 📝 Galois theory (http://homepages.warwick.ac.uk/~masda/MA3D5/Galois.pdf) - Miles Reid
⟡ 📝 Galois Theory (https://math.illinoisstate.edu/schebol/teaching/407-14-files/Stewart-galois_theory.pdf) - Ian Stewart
⟡ 📝 Galois Theory (https://eclass.uoa.gr/modules/document/file.php/MATH594/Stewart%20Galois%204th%20edition.pdf) - Ian Stewart
⟡ 📝 Galois Theory (https://arxiv.org/pdf/2408.07499) — Tom Leinster (University of Edinburgh)
Lie Algebras
@@ -380,7 +395,7 @@
Differential Geometry
⟡ 📝 Introduction to Differential Geometry (https://people.math.ethz.ch/~salamon/PREPRINTS/diffgeo.pdf) - Joel W. Robbin, Dietmar A. Salamon
⟡ 📝 Notes on Differential Geometry and Lie Groups (http://www.seas.upenn.edu/~jean/diffgeom.pdf) - Jean Gallier (University of Pennsylvania)
⟡ 📝 Notes on Differential Geometry and Lie Groups (https://www.cis.upenn.edu/~jean/gbooks/manif.html) - Jean Gallier (University of Pennsylvania)
⟡ 📝 Topics in Differential Geometry (http://www.mat.univie.ac.at/~michor/dgbook.pdf) - Peter W. Michor
⟡ 📝 Lectures on Differential Geometry (http://mysite.science.uottawa.ca/rossmann/Differential%20Geometry%20book_files/Diffgeo.pdf) - Wulf Rossmann
⟡ 📝 An Introduction to Riemannian Geometry (http://www.matematik.lu.se/matematiklu/personal/sigma/Riemann.pdf) - Sigmundur Gudmundsson (Lund University)
@@ -610,15 +625,17 @@
⟡ 📝 Mathematical Tools for Physics (http://www.physics.miami.edu/nearing/mathmethods/) - James Nearing
⟡ 📝 Mechanism of the Heavens (1831) (http://www.malaspina.com/etext/heavens.htm) - Mary Somerville
 Students Lecture Notes
 Students Lecture Notes
⟡ Evan Chen (https://web.evanchen.cc/coursework.html) - MIT. 2012 ~ 2018. Covers Combinatorics, Number Theory, Honors Algebra, Set Theory, Real Analysis, Graph Theory, and more.
⟡ Dexter Chua (https://dec41.user.srcf.net/notes/) - Harvard. 2013 ~ 2018. Covers Analysis, Probability, Linear Algebra, Complex Analysis, Numerical Analysis, Statistics, Optimization, Algebraic Topology, Quantum Field Theory, and more.
 Related Awesome Lists
 Related Awesome Lists
⟡ Theoretical Computer Science (https://github.com/mostafatouny/awesome-theoretical-computer-science)
 License
 License
!CC0 (http://i.creativecommons.org/p/zero/1.0/88x31.png) (http://creativecommons.org/publicdomain/zero/1.0/)
To the extent possible under law, Cyrille Rossant (http://cyrille.rossant.net) has waived all copyright and related or neighboring rights to this work.
math Github: https://github.com/rossant/awesome-math