awesome-math

# Awesome Math [![Awesome](https://awesome.re/badge.svg)](https://awesome.re)

Awesome Math is a curated list of high-quality resources for learning, teaching, and doing mathematics. It covers pure mathematics, applied mathematics, computation, formal proof, and the use of AI in mathematics.

Most resources are free to access. Paid resources may be included when they are widely respected, unusually useful, and hard to replace. Access limits should be stated in the entry.

Read the [contribution guidelines](CONTRIBUTING.md) before suggesting a resource.

## Contents

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* [Start Here](#start-here)
    * [Learning Platforms](#learning-platforms)
    * [Proof and Problem Solving](#proof-and-problem-solving)
    * [Video Courses and Series](#video-courses-and-series)
    * [Questions and Answers](#questions-and-answers)
    * [Reference Works](#reference-works)
    * [Broad Course Notes](#broad-course-notes)
* [General Mathematics](#general-mathematics)
* [Foundations and Logic](#foundations-and-logic)
    * [Logic](#logic)
    * [Set Theory](#set-theory)
    * [Type Theory](#type-theory)
    * [Category Theory](#category-theory)
    * [Formal Mathematics and Theorem Proving](#formal-mathematics-and-theorem-proving)
* [Algebra](#algebra)
    * [Abstract Algebra](#abstract-algebra)
    * [Linear Algebra](#linear-algebra)
    * [Group Theory](#group-theory)
    * [Ring and Field Theory](#ring-and-field-theory)
    * [Commutative Algebra](#commutative-algebra)
    * [Representation Theory](#representation-theory)
* [Number Theory](#number-theory)
    * [Algebraic Number Theory](#algebraic-number-theory)
    * [Analytic Number Theory](#analytic-number-theory)
* [Combinatorics and Discrete Mathematics](#combinatorics-and-discrete-mathematics)
    * [Graph Theory](#graph-theory)
* [Geometry and Topology](#geometry-and-topology)
    * [Differential Geometry](#differential-geometry)
    * [Algebraic Geometry](#algebraic-geometry)
    * [General Topology](#general-topology)
    * [Algebraic Topology](#algebraic-topology)
* [Analysis](#analysis)
    * [Real Analysis](#real-analysis)
    * [Complex Analysis](#complex-analysis)
    * [Functional Analysis](#functional-analysis)
    * [Operator Theory](#operator-theory)
    * [Harmonic Analysis](#harmonic-analysis)
    * [Measure Theory](#measure-theory)
* [Differential Equations and Dynamical Systems](#differential-equations-and-dynamical-systems)
    * [Ordinary Differential Equations](#ordinary-differential-equations)
    * [Partial Differential Equations](#partial-differential-equations)
    * [Ergodic Theory and Chaos](#ergodic-theory-and-chaos)
* [Probability and Statistics](#probability-and-statistics)
    * [Probability](#probability)
    * [Stochastic Processes](#stochastic-processes)
    * [Statistics](#statistics)
    * [Statistical Learning](#statistical-learning)
    * [Algebraic Statistics](#algebraic-statistics)
* [Numerical and Computational Mathematics](#numerical-and-computationa