From 39d70281f5ec42ed6c24b2740a16e427ec57fefb Mon Sep 17 00:00:00 2001 From: Cyrille Rossant Date: Mon, 31 Aug 2015 21:24:16 +0200 Subject: [PATCH] Foundations --- README.md | 121 ++++++++++++++++++++++++++++++++++++++++++++++-------- 1 file changed, 105 insertions(+), 16 deletions(-) diff --git a/README.md b/README.md index 0e9b15e..7378506 100644 --- a/README.md +++ b/README.md @@ -2,29 +2,118 @@ A curated list of awesome mathematics resources. -## Learning platforms +## Foundations of mathematics + +### Set theory + +* [Set Theory on the Stanford Encyclopedia of Philosophy](http://plato.stanford.edu/entries/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 Wikibooks](https://en.wikibooks.org/wiki/Set_Theory) + +### Logic + +* [Language, proof, and logic](http://ssdi.di.fct.unl.pt/~pb/cadeiras/lc/0102/lpl%20textbook.pdf) - Jon Barwise, John Etchemendy +* [Introduction to logic](http://logic.stanford.edu/intrologic/chapters/cover.html) - Michael Genesereth, Eric Kao (Stanford University) +* [A problem course in mathematical logic](http://euclid.trentu.ca/math/sb/pcml/pcml-16.pdf) - Stefan Bilaniuk (Trent University) +* [An introduction to formal logic](https://textbookequity.org/oct/Textbooks/Magnus_forallx.pdf) - P.D. Magnus (University at Albany) +* [Formal logic](http://maude.sip.ucm.es/~miguelpt/papers/flogic.pdf) - Miguel Palomino +* [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) + +## Arithmetic + +* []() +* []() +* []() +* []() +* []() + +## 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) -* [MathOverflow](http://mathoverflow.net/) -## Foundations of mathematics +### Questions and answers -* []() +* [Mathematics Stack Exchange](http://math.stackexchange.com/) +* [MathOverflow](http://mathoverflow.net/) - for professional mathematicians -## Arithmetic +### Encyclopedia -## Algebra +* [Encyclopedia of Mathematics](https://www.encyclopediaofmath.org) +* [Wolfram Mathworld](http://mathworld.wolfram.com/) +* [Planetmath](http://planetmath.org/) -## Analysis +### Misc -## Combinatorics - -## Geometry and topology - -## Probability and statistics - -## Numerical Analysis - -## Computer algebra +* [Areas of mathematics on Wikipedia](https://en.wikipedia.org/wiki/Areas_of_mathematics)