📜 Awesome Math Lectures

Animation by Étienne Jacob

👨‍🏫 Collection of the most awesome Math learning resources in the form of notes, videos and cheatsheets.

Contributions are very welcome! 🤗

Table of Contents

• 💍 Abstract Algebra
• ☄️ Calculus
• 🐈 Category Theory
• 🌌 Differential Equations
• 🥏 Differential Geometry
• 🤹‍♂️ Discrete Mathematics
• 🗺️ Functional Analysis
• 🧊 Geometric Algebra
• 💠 Graph Theory
• 👨‍👩‍👧‍👦 Group Theory
• 👂 Harmonic Analysis
• ℹ️ Information Theory
• 🦾 Linear Algebra
• 🤖 Machine Learning
• 💭 Mathematical Logic
• 📐 Measure Theory
• 🧮 Number Theory
• 🎲 Probability Theory
• 🧺 Set Theory
• 📊 Statistical Theory
• 🤼 Surreal Numbers
• 🌐 Topology
• 🎰 Random Topics

💍 Abstract Algebra

• 📺 Videos by Varun Malladi

• 📺 Videos by Svetlana Makarova

• ✍️ Notes by Miles Reid — Original Source

• ✍️ Notes on by Dana Ernst — Original Source

• ✍️ Notes by Robert Howlett — Original Source

• ✍️ Notes on by Jackson Petty — Original Source

• ✍️ Videos by Michael​ ​Harrison and Liliana​ ​de​ ​Castro

☄️ Calculus

• ✍️ Notes by Paul Dawkins

• 📺 Videos by Trefor Bazett

• 📺 Videos by Denis Auroux

• 📺 Videos by Herbert Gross

• 📺 Videos by Pavel Grinfeld

• 📺 Videos by Edward Frenkel

• 📺 Videos by Jeffrey Chasnov

• 📺 Videos by Grant Sanderson and Sal Khan

• ✍️ Notes by Henchen Hu — Original Source

• ✍️ Notes by Samuel Coskey — Original Source

• ✍️ Notes by Andrew Campbell — Original Source

• 🃏 Cheatsheet by Afshine Amidi and Shervine Amidi — Original Source

🐈 Category Theory

• 📖 Book by Bartosz Milewski

• 📺 Videos by Bartosz Milewski

• 📖 Book by Ivan Murashko and others

• 📺 Videos by Brendan Fong and others

• 📺 Videos by David Spivak and Brendan Fong

• ✍️ Notes by Bodo Pareigis — Original Source

• ✍️ Notes by Thomas Streicher — Original Source

• ✍️ Notes by Jan-Willem Buurlage — Original Source

🌌 Differential Equations

• 📺 Videos by Trefor Bazett

• 📺 Videos by Pavel Grinfeld

• 📺 Videos by Jeffrey Chasnov

• 📺 Videos by Brandon Leonard

• 📺 Videos by Matthew Macauley

• ✍️ Notes by Eugen Ionascu — Original Source

• ✍️ Notes by Alexander Grigorian — Original Source

🥏 Differential Geometry

• 📺 Videos by Justin Solomon

• 📺 Videos by Norman Wildberger

• ✍️ Notes by Keenan Crane — Original Source

• ✍️ Notes by Wulf Rossmann — Original Source

• ✍️ Notes by Sigmundur Gudmundsson — Original Source

🤹‍♂️ Discrete Mathematics

• 📺 Videos by Matthew Macauley

• ✍️ Notes by Jieyou Xu — Original Source

• ✍️ Notes by Tero Harju — Original Source

• 🃏 Cheatsheet by Max Kasperowski — Original Source

• ✍️ Notes by Trinity College Dublin's students — Original Source

• ✍️ Notes by Anna Brandenberger and Binyuan Sun — Original Source

🗺️ Functional Analysis

• 📺 Videos by Claudio Landim

• 📺 Videos by Julian Großmann

• ✍️ Notes by Michael Cowling — Original Source

• ✍️ Notes by Alexander Belton — Original Source

🧊 Geometric Algebra

• 📺 Videos by Bivector

• 📺 Videos by Mathoma

• 📽️ Slides by Eric Lengyel

• 📺 Video by sudgylacmoe

• 📺 Video by Marc ten Bosch

• 📺 Videos by Nick Okamoto

• 📺 Videos by Alan Macdonald

• 📺 Videos by Arrow of Entropy

• 🃏 Cheatsheet by Robin Kahlow

• ✍️ Notes by Leo Dorst — Original Source

• ✍️ Notes by Jaap Suter — Original Source

• ✍️ Notes by Laszlo Tisza — Original Source

• ✍️ Notes by Charles Gunn — Original Source

• 📺 Video by Charles Gunn and Steven De Keninck

• ✍️ Notes by Christopher Doran — Original Source

• 🃏 Cheatsheets on 2D and 3D Projective Geometric Algebra by Charles Gunn and Steven De Keninck — Original Source

💠 Graph Theory

• 📺 Videos by Sarada Herke

• ✍️ Notes by Vadim Lozin — Original Source

• ✍️ Notes by Maria Axenovich — Original Source

• ✍️ Notes by Catherine Greenhill — Original Source

• ✍️ Notes on Graph Theory by Tero Harju — Original Source

• ✍️ Notes Combinatorial Structures in Graph Theory by Tero Harju — Original Source

👨‍👩‍👧‍👦 Group Theory

• 📺 Videos by Matthew Macauley

• ✍️ Notes by Tero Harju — Original Source

• ✍️ Notes by Hechen Hu — Original Source

• ✍️ Notes by Joel Beeren — Original Source

• ✍️ Notes by Jackson Petty — Original Source

• ✍️ Notes by Samuel Coskey — Original Source

• 🃏 Cheatsheet by Brendan Kidwell — Original Source

• 🃏 Cheatsheet by Matthias Vallentin — Original Source

• 🃏 Cheatsheet by Per Alexandersson — Original Source

• 🃏 Cheatsheet by Edward O'Callaghan — Original Source

👂 Harmonic Analysis

• 📺 Videos by Steve Brunton

• 📺 Videos by Michael Adams

• 🕹️ Interactive visualization by Jez Swanson

• ✍️ Notes by Lucas Illing — Original Source

• ✍️ Notes by Richard Laugesen — Original Source

ℹ️ Information Theory

• 📺 Videos by Brit Cruise

• 📺 Videos by Thomas Cover

• 📺 Videos by Jakob Foerster

• 📺 Videos by Raymond Yeung

• 📺 Videos by Simons Institute

• 📺 Videos by Mathematical Monk

• 💭 Blogpost by Lê Nguyên Hoang

• 🃏 Cheatsheet by Hugo Touchette

• ✍️ Notes by John Daugman — Original Source

• 🃏 Cheatsheet by Lucile Baumann-Madoulaud — Original Source

🦾 Linear Algebra

• 📺 Videos by Sal Khan

• 📺 Videos by Ahmad Bazzi

• 📺 Videos by Sheldon Axler

• 📺 Videos by Gilbert Strang

• 📺 Videos by Pavel Grinfeld

• 📺 Videos by Rachel Thomas

• 📺 Videos by Jeffrey Chasnov

• ✍️ Notes by Andrey Mazhuga

• 📺 Videos by Julian Großmann

• 📺 Videos by Nikolay Bogachev

• 📺 Videos by Matthew Macauley

• 📺 Videos by Norman Wildberger

• ✍️ Notes by Zico Kolter — Original Source

• ✍️ Notes by Samuel Coskey — Original Source

• ✍️ Notes by Andrew Campbell — Original Source

• 🃏 Cheatsheet by Sam Kennerly — Original Source

• ✍️ Notes by Kaare Petersen and Michael Pedersen — Original Source

• 🃏 Cheatsheet by Kenji Hiranabe and Gilbert Strang — Original Source

• 📽️ Slides by Stephen Boyd and Lieven Vandenberghe — Original Source

• ✍️ Notes by Anna Brandenberger and Daniela Breitman — Original Source

• 🃏 Cheatsheet by Ivan Savov and Concept maps by Ivan Savov — Original Source

• 🕹️ Interactive visualizations by Jacob Ström, Kalle Åström and Tomas Akenine-Möller

🤖 Machine Learning

• 📺 Videos by David Dye

• 📺 Videos by AI Institute

• 📺 Videos by Andrew Ng

• 📺 Videos by Sam Cooper

• 📺 Videos by Anand Avati

• 📺 Videos by Dmitry Kobak

• 📺 Videos by Jure Leskovec

• 📺 Videos by Philipp Hennig

• 📺 Videos by Andreas Geiger

• 📺 Videos by Alexander Ihler

• 📺 Videos by Ulrike von Luxburg

• 📺 Videos by Yaser Abu-Mostafa

• 📺 Videos by Mathematical Monk

• 📺 Videos by Volodymyr Kuleshov

• 📽️ Slides by Joan Bruna and others

• ✍️ Notes by Tao Sun — Original Source

• ✍️ Notes by Erik Koene — Original Source

• 🃏 Cheatsheet by Frank Dai — Original Source

• 🃏 Cheatsheet by Erik Koene — Original Source

• 🃏 Cheatsheet by Aaron Wang — Original Source

• 🃏 Cheatsheet by Aqeel Anwar — Original Source

• 🃏 Cheatsheet by Janus Advincula — Original Source

• 🃏 Cheatsheet by ETH Zürich students — Original Source

• 📽️ Slides on Machine Learning and Deep Learning by Sargur Srihari

• 🃏 Cheatsheet by Afshine Amidi and Shervine Amidi — Original Source

• 🃏 Cheatsheet on Deep Learning and Notes on Machine Learning by Phillip Lippe — Original Source

• 🃏 Cheatsheets on Machine Learning and Computational Intelligence by Marilou Beyeler — Original Source

• ✍️ Notes on Statistical Learning Theory and Natural Language Understanding by Doruk Çetin — Original Source

• 🃏 Cheatsheets on Essential Machine Learning and Advanced Machine Learning by Doruk Çetin — Original Source

💭 Mathematical Logic

• ✍️ Notes by Stefan Bilaniuk — Original Source

• ✍️ Notes by Stephen Simpson — Original Source

• ✍️ Notes by Helmut Schwichtenberg — Original Source

📐 Measure Theory

• 📺 Videos by Claudio Landim

• 📺 Videos by Julian Großmann

• ✍️ Notes by Peter Straka — Original Source

• ✍️ Notes by Gautam Iyer — Original Source

• ✍️ Notes by John Hunter — Original Source

• ✍️ Notes by Samuel Coskey — Original Source

• ✍️ Notes by Steven Nguyen — Original Source

🧮 Number Theory

• ✍️ Notes by Alina Ostafe — Original Source

• ✍️ Notes by Otto Forster — Original Source

• ✍️ Notes by Pavel Kolesnikov and Evgeny Vdovin — Original Source

🎲 Probability Theory

• 📺 Videos by Claudio Landim

• 📺 Videos by Lê Nguyên Hoang

• 📺 Videos by Mathematical Monk

• ✍️ Notes by Dirk Kroese — Original Source

• ✍️ Notes by Joseph Watkins — Original Source

• 🃏 Cheatsheet by Peleg Michaeli — Original Source

• 🃏 Cheatsheet by Fabián Kozynski — Original Source

• 🃏 Cheatsheet by Janus Advincula — Original Source

• ✍️ Notes by Anna Brandenberger — Original Source

• 🃏 Cheatsheet by Max Kasperowski — Original Source

• 🃏 Cheatsheet by William Chen and Joe Blitzstein — Original Source

• 🃏 Cheatsheet by Afshine Amidi and Shervine Amidi — Original Source

🧺 Set Theory

• ✍️ Notes by Sylvain Poirier

• ✍️ Notes by Tero Harju — Original Source

• ✍️ Notes by William Weiss — Original Source

📊 Statistical Theory

• 📺 Videos by Philipp Berens

• 📺 Videos by Benjamin Lambert

• ✍️ Notes by Ryan Martin — Original Source

• ✍️ Notes by Adolfo Rumbos — Original Source

• 🃏 Cheatsheet by Edward O'Callaghan — Original Source

• 🃏 Cheatsheet by Afshine Amidi and Shervine Amidi — Original Source

• 🃏 Cheatsheet on Statistical Analysis by Janus Advincula — Original Source

• 🃏 Cheatsheet on Fundamentals of Statistics by Janus Advincula — Original Source

🤼 Surreal Numbers

• 📖 Book by Donald Knuth

• ✍️ Notes by Gretchen Grimm — Original Source

• ✍️ Notes by Melissa Gymrek and Jing Li — Original Source

• 📺 HACKENBUSH: a window to a new world of math by Owen Maitzen

🌐 Topology

• 📺 Videos by Norman Wildberger

• 📺 Videos Part I by Siddhartha Gadgil

• 📺 Videos Part II by Siddhartha Gadgil

• 📺 Videos Part III by Siddhartha Gadgil

• ✍️ Notes by Holworth — Original Source

• ✍️ Notes by Daniel Chan — Original Source

• ✍️ Notes by Henchen Hu — Original Source

• ✍️ Notes by Tilman Bauer — Original Source

• ✍️ Notes by Martin Čadek — Original Source

• ✍️ Notes by Renzo Cavalieri — Original Source

• ✍️ Notes by Michael Starbird — Original Source

• 🃏 Cheatsheet by Edward O'Callaghan — Original Source

• ✍️ Notes on Complex Manifolds and Toric Geometry by Richie Dadhley — Original Source

🎰 Random Topics

• 📚 Collection of Math Notes

• ✍️ Notes from Cambridge by Dexter Chua

• 📺 Videos on Tensor Calculus by Robert Davie

• 📺 Videos on Introduction to Higher Mathematics by Bill Shillito

• 📺 Slides on Homotopy Type Theory by Emily Riehl — Original Source

• 📺 Videos on Mathematics for Machine Learning by Ulrike von Luxburg

• 🃏 Cheatsheet All-In-One Mathematics by Alex Spartalis — Original Source

• 🃏 Cheatsheet on Undergraduate Mathematics by Rutuj Gavankar — Original Source

• ✍️ Notes on Undergraduate Mathematics by Nathan Typanski — Original Source