Awesome Math

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 before suggesting a resource.

Contents

• Start Here
  • Learning Platforms
  • Proof and Problem Solving
  • Video Courses and Series
  • Questions and Answers
  • Reference Works
  • Broad Course Notes
• General Mathematics
• Foundations and Logic
  • Logic
  • Set Theory
  • Type Theory
  • Category Theory
  • Formal Mathematics and Theorem Proving
• Algebra
  • Abstract Algebra
  • Linear Algebra
  • Group Theory
  • Ring and Field Theory
  • Commutative Algebra
  • Representation Theory
• Number Theory
  • Algebraic Number Theory
  • Analytic Number Theory
• Combinatorics and Discrete Mathematics
  • Graph Theory
• Geometry and Topology
  • Differential Geometry
  • Algebraic Geometry
  • General Topology
  • Algebraic Topology
• Analysis
  • Real Analysis
  • Complex Analysis
  • Functional Analysis
  • Operator Theory
  • Harmonic Analysis
  • Measure Theory
• Differential Equations and Dynamical Systems
  • Ordinary Differential Equations
  • Partial Differential Equations
  • Ergodic Theory and Chaos
• Probability and Statistics
  • Probability
  • Stochastic Processes
  • Statistics
  • Statistical Learning
  • Algebraic Statistics
• Numerical and Computational Mathematics
  • Numerical Analysis
• Optimization, Operations Research, and Control
  • Control Theory
• Mathematical Physics
• Interdisciplinary Mathematics
  • Mathematics for Computer Science
  • Mathematics for Machine Learning
  • Information and Coding Theory
  • Mathematical Finance
  • Mathematical Biology
  • Signal Processing
• Mathematical Practice
  • AI for Mathematics
  • Mathematical Software and Tools
• History and Mathematics Education
• Community and Further Reading
  • Journals and Magazines
  • Blogs
  • Meetings and Conferences
  • Related Curated Lists

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