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Awesome maths
A curated list of awesome mathematics resources.
Foundations of mathematics
Set theory
- 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
- Set Theory on Wikibooks
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)
- Language, proof, and logic - Jon Barwise, John Etchemendy
- Mathematical logic - Helmut Schwichtenberg
- Mathematical logic - Stephen G. Simpson (Pennsylvania State University)
- Formal logic - Miguel Palomino
Homotopy type theory
Number theory
- Elementary Number Theory: Primes, Congruences, and Secrets - William Stein
- Elementary Number Theory - W. Edwin Clark (University of South Florida)
- A Course on Number Theory - Peter J. Cameron
- A Computational Introduction to Number Theory and Algebra - Victor Shoup
- Number Theory: A Contemporary Introduction - Pete L. Clark
Algebraic number theory
- Introduction to Algebraic Number Theory
- Algebraic Number Theory - J.S. Milne
- Algebraic Number Theory Course Notes - Matthew Baker (Georgia Tech)
Analytical number theory
- Introduction to Analytic Number Theory - A.J. Hildebrand (University of Illinois)
- Elements of analytic number theory - P. S. Kolesnikov, E. P. Vdovin (Novosibirsk)
- Analytic Number Theory - Otto Forster (LMU Munich)
- Analytic number theory — Lecture notes based on Davenport’s book - Andreas Strömbergsson
Algebra
Analysis
Combinatorics
Geometry and topology
Probability and statistics
Numerical Analysis
Computer algebra
Websites
Learning platforms
Questions and answers
- Mathematics Stack Exchange
- MathOverflow - for professional mathematicians