rossant/awesome-math

Awesome Math is a curated list of mathematics resources, kept in a single README file in the repository. It is part of the wider Awesome Lists tradition on GitHub, which is a loose family of community-maintained link collections on various topics. The list focuses on freely available resources, with a coin icon marking the few entries that cost money. The content is organised by topic. The first big section, General Resources, points to learning platforms such as Khan Academy, Coursera, MIT OpenCourseWare, edX, Brilliant, and Mathigon, along with YouTube channels including 3Blue1Brown, Numberphile, StatQuest, Mathologer, and Professor Leonard's calculus and differential equations playlists. It also lists computation tools like Wolfram Alpha, Symbolab, Desmos, GeoGebra, Maxima, Sympy, Sagemath, Macaulay2, Maple, Matlab, and Mathematica, plus question and answer sites like Mathematics Stack Exchange and MathOverflow, and encyclopaedic references like Wolfram MathWorld, PlanetMath, and the On-Line Encyclopedia of Integer Sequences. The second main section, Branches of Mathematics, splits links by subject area. The table of contents covers foundations of mathematics (set theory, logic, category theory, type theory, homotopy type theory, surreal numbers), number theory, algebra (abstract, group theory, linear algebra, rings, Galois theory, Lie algebras), combinatorics and graph theory, geometry and topology (differential, algebraic, algebraic statistics, general topology, algebraic topology), analysis (real, harmonic, complex, functional, measure theory, ordinary and partial differential equations, chaos theory), probability and statistics, numerical analysis, signal processing, mathematics for computer science, mathematical biology, and mathematical physics. Further sections list students' lecture notes, related awesome lists on other topics, and the license at the end. The repository itself does not contain mathematical content of its own. It is a directory: each entry is just a name and a link, with the occasional short note, and the work of the project is keeping that directory current and well-organised.