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@@ -19,6 +19,7 @@ All resources are freely available except those with a 💲 icon.
* [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)
@@ -84,9 +85,9 @@ All resources are freely available except those with a 💲 icon.
* [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 @@ All resources are freely available except those with a 💲 icon.
* [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 @@ All resources are freely available except those with a 💲 icon.
* [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
@@ -163,7 +170,7 @@ All resources are freely available except those with a 💲 icon.
## 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.
* [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.
@@ -178,6 +185,12 @@ All resources are freely available except those with a 💲 icon.
* [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)
@@ -198,8 +211,8 @@ All resources are freely available except those with a 💲 icon.
## 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
@@ -238,7 +251,7 @@ All resources are freely available except those with a 💲 icon.
* 📝 [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
@@ -269,8 +282,7 @@ All resources are freely available except those with a 💲 icon.
### 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
@@ -297,7 +309,7 @@ All resources are freely available except those with a 💲 icon.
* 📝 [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)
@@ -329,6 +341,7 @@ All resources are freely available except those with a 💲 icon.
* 📝 [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
@@ -339,7 +352,8 @@ All resources are freely available except those with a 💲 icon.
* 📝 [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
@@ -375,7 +389,7 @@ All resources are freely available except those with a 💲 icon.
### 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)
@@ -617,3 +631,6 @@ All resources are freely available except those with a 💲 icon.
[![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.md Github](https://github.com/rossant/awesome-math
)