mirror of
https://github.com/rossant/awesome-math.git
synced 2024-10-01 01:15:40 -04:00
139 lines
4.0 KiB
Markdown
139 lines
4.0 KiB
Markdown
# Awesome maths
|
||
|
||
A curated list of awesome mathematics resources.
|
||
|
||
|
||
## Foundations of mathematics
|
||
|
||
### Set theory
|
||
|
||
* [An introduction to set theory](http://www.math.toronto.edu/weiss/set_theory.pdf) - William A. R. Weiss
|
||
* [Set Theory and Foundations of Mathematics](http://www.settheory.net/) - Sylvain Poirier
|
||
* [Set Theory on the Stanford Encyclopedia of Philosophy](http://plato.stanford.edu/entries/set-theory/)
|
||
* [Set Theory on Wikibooks](https://en.wikibooks.org/wiki/Set_Theory)
|
||
|
||
### Logic
|
||
|
||
* [Introduction to logic](http://logic.stanford.edu/intrologic/chapters/cover.html) - Michael Genesereth, Eric Kao (Stanford University)
|
||
* [An introduction to formal logic](https://textbookequity.org/oct/Textbooks/Magnus_forallx.pdf) - P.D. Magnus (University at Albany)
|
||
* [A problem course in mathematical logic](http://euclid.trentu.ca/math/sb/pcml/pcml-16.pdf) - Stefan Bilaniuk (Trent University)
|
||
* [Language, proof, and logic](http://ssdi.di.fct.unl.pt/~pb/cadeiras/lc/0102/lpl%20textbook.pdf) - Jon Barwise, John Etchemendy
|
||
* [Mathematical logic](http://www.mathematik.uni-muenchen.de/~schwicht/lectures/logic/ws03/ml.pdf) - Helmut Schwichtenberg
|
||
* [Mathematical logic](http://www.personal.psu.edu/t20/notes/logic.pdf) - Stephen G. Simpson (Pennsylvania State University)
|
||
* [Formal logic](http://maude.sip.ucm.es/~miguelpt/papers/flogic.pdf) - Miguel Palomino
|
||
|
||
### Homotopy type theory
|
||
|
||
* [Homotopy type theory](https://hottheory.files.wordpress.com/2013/03/hott-online-611-ga1a258c.pdf)
|
||
|
||
|
||
## Number theory
|
||
|
||
* [Elementary Number Theory: Primes, Congruences, and Secrets](http://wstein.org/ent/ent.pdf) - William Stein
|
||
* [Elementary Number Theory](http://www.iiserpune.ac.in/~ayan/MTH312/%28127%29.pdf) - W. Edwin Clark (University of South Florida)
|
||
* [A Course on Number Theory](http://www.maths.qmul.ac.uk/~pjc/notes/nt.pdf) - Peter J. Cameron
|
||
* [A Computational Introduction to Number Theory and Algebra](http://shoup.net/ntb/ntb-v2.pdf) - Victor Shoup
|
||
* [Number Theory: A Contemporary Introduction](http://math.uga.edu/~pete/4400FULL.pdf) - Pete L. Clark
|
||
|
||
### Algebraic number theory
|
||
|
||
* [Introduction to Algebraic Number Theory](http://www1.spms.ntu.edu.sg/~frederique/ANT10.pdf)
|
||
* [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)
|
||
|
||
### Analytical number theory
|
||
|
||
* [Introduction to Analytic Number Theory](http://www.math.uiuc.edu/~hildebr/ant/main.pdf) - A.J. Hildebrand (University of Illinois)
|
||
* [Elements of analytic number theory](http://math.nsc.ru/~vdovin/lectures/numth_eng.pdf) - P. S. Kolesnikov, E. P. Vdovin (Novosibirsk)
|
||
* [Analytic Number Theory](http://www.mathematik.uni-muenchen.de/~forster/v/ann/annth_all.pdf) - Otto Forster (LMU Munich)
|
||
* [Analytic number theory — Lecture notes based on Davenport’s book](http://www2.math.uu.se/~astrombe/analtalt08/www_notes.pdf) - Andreas Strömbergsson
|
||
|
||
|
||
## Algebra
|
||
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
|
||
## Analysis
|
||
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
|
||
## Combinatorics
|
||
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
|
||
## Geometry and topology
|
||
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
|
||
## Probability and statistics
|
||
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
|
||
## Numerical Analysis
|
||
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
|
||
## Computer algebra
|
||
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
* []()
|
||
|
||
|
||
|
||
## Websites
|
||
|
||
### Learning platforms
|
||
|
||
* [Khan Academy](https://www.khanacademy.org/math)
|
||
* [Coursera](https://www.coursera.org/courses?query=mathematics&languages=en)
|
||
* [Wikibooks](https://en.wikibooks.org/wiki/Wikibooks:Mathematics_bookshelf)
|
||
|
||
### Questions and answers
|
||
|
||
* [Mathematics Stack Exchange](http://math.stackexchange.com/)
|
||
* [MathOverflow](http://mathoverflow.net/) - for professional mathematicians
|
||
|
||
### Encyclopedia
|
||
|
||
* [Encyclopedia of Mathematics](https://www.encyclopediaofmath.org)
|
||
* [Wolfram Mathworld](http://mathworld.wolfram.com/)
|
||
* [Planetmath](http://planetmath.org/)
|
||
|
||
### Misc
|
||
|
||
* [Areas of mathematics on Wikipedia](https://en.wikipedia.org/wiki/Areas_of_mathematics)
|