:sunglasses: :scroll: Awesome Maths Learning

Animation by Étienne Jacob

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

Contributions are very welcome! :hugs:

Table of Contents

• :ring: Abstract Algebra
• :roller_coaster: Calculus
• :cat2: Category Theory
• :butterfly: Chaos Theory
• :unicorn: Complex Analysis
• :computer: Computation Theory
• :milky_way: Differential Equations
• :flying_disc: Differential Geometry
• :man_juggling: Discrete Mathematics
• :world_map: Functional Analysis
• :ice_cube: Geometric Algebra
• :diamond_shape_with_a_dot_inside: Graph Theory
• :family_man_woman_girl_boy: Group Theory
• :ear: Harmonic Analysis
• :information_source: Information Theory
• :mechanical_arm: Linear Algebra
• :robot: Machine Learning
• :thought_balloon: Mathematical Logic
• :triangular_ruler: Measure Theory
• :abacus: Number Theory
• :game_die: Probability Theory
• :horse: Real Analysis
• :basket: Set Theory
• :bar_chart: Statistical Theory
• :wrestling: Surreal Numbers
• :globe_with_meridians: Topology
• :slot_machine: Various Topics

:ring: Abstract Algebra

• :tv: Videos by Math I Like

• :tv: Videos by MathMajor

• :tv: Videos by Michael Penn

• :tv: Videos by Richard Borcherds

• :tv: Videos by Svetlana Makarova

• :tv: Videos by Krishna Hanumanthu

• :writing_hand: Notes by Miles Reid — Original Source

• :writing_hand: Notes by Jackson Petty — Original Source

• :writing_hand: Notes on by Dana Ernst — Original Source

• :writing_hand: Notes by Robert Howlett — Original Source

• :writing_hand: Videos by Michael​ ​Harrison and Liliana​ ​de​ ​Castro

:roller_coaster: Calculus

• :tv: Videos by Kyle Broder

• :writing_hand: Notes by Paul Dawkins

• :tv: Videos by Trefor Bazett

• :tv: Videos by Michael Penn

• :tv: Videos by Denis Auroux

• :tv: Videos by Herbert Gross

• :tv: Videos by Pavel Grinfeld

• :tv: Videos by German Enciso

• :tv: Videos by Edward Frenkel

• :tv: Videos by Jeffrey Chasnov

• :tv: Videos by Natalia Komarova

• :tv: Videos by Grant Sanderson and Sal Khan

• :writing_hand: Notes by Henchen Hu — Original Source

• :writing_hand: Notes by Samuel Coskey — Original Source

• :writing_hand: Notes by Andrew Campbell — Original Source

• :black_joker: Cheatsheet by Afshine Amidi and Shervine Amidi — Original Source

:cat2: Category Theory

• :black_joker: Cheatsheet by nLab

• :writing_hand: Notes by Egbert Rijke

• :film_projector: Slides by Andrew Pitts

• :tv: Videos by John Baez and others

• :tv: Videos by Jeremy Mann

• :tv: Videos by Varun Malladi

• :tv: Videos by Robert Harper

• :book: Book by Jencel Panic

• :book: Book by Bartosz Milewski

• :tv: Videos by Bartosz Milewski

• :tv: Videos by Roberta Bonacina

• :tv: Videos by Paul-André Melliès

• :book: Book by Ivan Murashko and others

• :tv: Videos by Brendan Fong and others

• :book: Book by Institute for Advanced Study

• :film_projector: Slides by Emily Riehl — Original Source

• :film_projector: Slides by Marcelo Fiore and Jamie Vicary

• :tv: Videos by Andrej Bauer and Jaka Smrekar

• :tv: Videos by David Spivak and Brendan Fong

• :writing_hand: Notes by Bodo Pareigis — Original Source

• :book: Book by Jonathan Sterling and Carlo Angiuli

• :writing_hand: Notes by Thomas Streicher — Original Source

• :writing_hand: Notes by Jan-Willem Buurlage — Original Source

• :book: Book by Jiří Adámek, Horst Herrlich and George Strecker

:butterfly: Chaos Theory

• :tv: Videos by Shane Ross

• :tv: Videos by Philippe Trinh

• :tv: Videos by David Feldman

• :tv: Videos by Steven Strogatz

• :writing_hand: Notes by Geoffrey Goodson — Original Source

:unicorn: Complex Analysis

• :tv: Videos by MathMajor

• :tv: Videos by Kyle Broder

• :tv: Videos by Julian Großmann

• :tv: Videos by Richard Borcherds

:computer: Computation Theory

• :film_projector: Slides by Anuj Dawar

• :film_projector: Slides by Vann McGee

• :film_projector: Slides by Andrew Pitts

• :film_projector: Slides by Derek Bridge

• :tv: Videos by Michael Sipser

• :tv: Videos by Ghassan Shobaki

• :writing_hand: Notes Part I by Scott Aaronson

• :writing_hand: Notes by Eshan Chattopadhyay

• :writing_hand: Notes Part II by Scott Aaronson

• :film_projector: Slides from University of Washington

• :tv: Videos by Nathan Brunelle and David Evans

:milky_way: Differential Equations

• :tv: Videos by Kyle Broder

• :tv: Videos by Trefor Bazett

• :tv: Videos by Michael Penn

• :tv: Videos by Pavel Grinfeld

• :tv: Videos by Jeffrey Chasnov

• :tv: Videos by Brandon Leonard

• :tv: Videos by Matthew Macauley

• :writing_hand: Notes by Eugen Ionascu — Original Source

• :writing_hand: Notes by Alexander Grigorian — Original Source

:flying_disc: Differential Geometry

• :tv: Videos by Justin Solomon

• :tv: Videos by Lei Chen and others

• :tv: Videos by Norman Wildberger

• :writing_hand: Notes by Keenan Crane — Original Source

• :writing_hand: Notes by Wulf Rossmann — Original Source

• :writing_hand: Notes by Sigmundur Gudmundsson — Original Source

:man_juggling: Discrete Mathematics

• :tv: Videos by Matthew Macauley

• :writing_hand: Notes by Eshan Chattopadhyay

• :writing_hand: Notes by Jieyou Xu — Original Source

• :writing_hand: Notes by Tero Harju — Original Source

• :black_joker: Cheatsheet by Max Kasperowski — Original Source

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

• :writing_hand: Notes by Anna Brandenberger and Binyuan Sun — Original Source

:world_map: Functional Analysis

• :tv: Videos by Claudio Landim

• :tv: Videos by Julian Großmann

• :tv: Videos by Physics and Math Lectures

• :writing_hand: Notes by Michael Cowling — Original Source

• :writing_hand: Notes by Alexander Belton — Original Source

:ice_cube: Geometric Algebra

• :tv: Videos by Bivector

• :tv: Videos by Mathoma

• :film_projector: Slides by Eric Lengyel

• :tv: Video by sudgylacmoe

• :tv: Video by Marc ten Bosch

• :tv: Videos by Nick Okamoto

• :tv: Videos by Alan Macdonald

• :tv: Videos by Arrow of Entropy

• :black_joker: Cheatsheet by Robin Kahlow

• :writing_hand: Notes by Leo Dorst — Original Source

• :writing_hand: Notes by Jaap Suter — Original Source

• :writing_hand: Notes by Laszlo Tisza — Original Source

• :writing_hand: Notes by Charles Gunn — Original Source

• :tv: Video by Charles Gunn and Steven De Keninck

• :writing_hand: Notes by Christopher Doran — Original Source

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

:diamond_shape_with_a_dot_inside: Graph Theory

• :tv: Videos by Sarada Herke

• :writing_hand: Notes by Vadim Lozin — Original Source

• :writing_hand: Notes by Maria Axenovich — Original Source

• :writing_hand: Notes by Catherine Greenhill — Original Source

• :writing_hand: Notes on Graph Theory by Tero Harju — Original Source

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

:family_man_woman_girl_boy: Group Theory

• :tv: Videos by Richard Borcherds

• :tv: Videos by Matthew Macauley

• :tv: Videos by Krishna Hanumanthu

• :writing_hand: Notes by Tero Harju — Original Source

• :writing_hand: Notes by Hechen Hu — Original Source

• :writing_hand: Notes by Joel Beeren — Original Source

• :writing_hand: Notes by Jackson Petty — Original Source

• :writing_hand: Notes by Samuel Coskey — Original Source

• :black_joker: Cheatsheet by Brendan Kidwell — Original Source

• :black_joker: Cheatsheet by Matthias Vallentin — Original Source

• :black_joker: Cheatsheet by Per Alexandersson — Original Source

• :black_joker: Cheatsheet by Edward O'Callaghan — Original Source

:ear: Harmonic Analysis

• :tv: Videos by Steve Brunton

• :tv: Videos by Michael Adams

• :joystick: Interactive visualization by Jez Swanson

• :writing_hand: Notes by Lucas Illing — Original Source

• :writing_hand: Notes by Richard Laugesen — Original Source

:information_source: Information Theory

• :tv: Videos by Brit Cruise

• :film_projector: Slides by Madhu Sudan

• :film_projector: Slides by Muriel Médard

• :tv: Videos by Thomas Cover

• :tv: Videos by Jakob Foerster

• :film_projector: Slides by Yury Polyanskiy

• :tv: Videos by Raymond Yeung

• :tv: Videos by Simons Institute

• :tv: Videos by Mathematical Monk

• :thought_balloon: Blog Post by Lê Nguyên Hoang

• :black_joker: Cheatsheet by Hugo Touchette

• :writing_hand: Notes by Paul Penfield and Seth Lloyd

• :writing_hand: Notes by John Daugman — Original Source

• :black_joker: Cheatsheet by Lucile Baumann-Madoulaud — Original Source

:mechanical_arm: Linear Algebra

• :film_projector: Slides by Phil Klein

• :tv: Videos by Sal Khan

• :tv: Videos by Ezra Miller

• :tv: Videos by Kyle Broder

• :tv: Videos by Ahmad Bazzi

• :tv: Videos by Sheldon Axler

• :tv: Videos by Gilbert Strang

• :tv: Videos by Pavel Grinfeld

• :tv: Videos by Rachel Thomas

• :tv: Videos by Jeffrey Chasnov

• :writing_hand: Notes by Andrey Mazhuga

• :tv: Videos by Julian Großmann

• :tv: Videos by Nikolay Bogachev

• :tv: Videos by Matthew Macauley

• :tv: Videos by Norman Wildberger

• :writing_hand: Notes by Zico Kolter — Original Source

• :writing_hand: Notes by Samuel Coskey — Original Source

• :writing_hand: Notes by Andrew Campbell — Original Source

• :black_joker: Cheatsheet by Sam Kennerly — Original Source

• :writing_hand: Notes by Kaare Petersen and Michael Pedersen — Original Source

• :black_joker: Cheatsheet by Kenji Hiranabe and Gilbert Strang — Original Source

• :film_projector: Slides by Stephen Boyd and Lieven Vandenberghe — Original Source

• :writing_hand: Notes by Anna Brandenberger and Daniela Breitman — Original Source

• :black_joker: Cheatsheet by Ivan Savov and Concept maps by Ivan Savov — Original Source

• :joystick: Interactive Visualizations by Vinay Sisodia and Jo Hsu

• :joystick: Interactive Visualizations by Jacob Ström, Kalle Åström and Tomas Akenine-Möller

:robot: Machine Learning

• :tv: Videos by Sebastian Peitz and Oliver Wallscheid

• :tv: Videos by David Dye

• :tv: Videos by AI Institute

• :tv: Videos by Andrew Ng

• :tv: Videos by Sam Cooper

• :tv: Videos by Anand Avati

• :tv: Videos by Dmitry Kobak

• :tv: Videos by Jure Leskovec

• :tv: Videos by Philipp Hennig

• :tv: Videos by Andreas Geiger

• :tv: Videos by Alexander Ihler

• :tv: Slides by Dmitry Panchenko

• :tv: Videos by Ulrike von Luxburg

• :tv: Videos by Yaser Abu-Mostafa

• :tv: Videos by Mathematical Monk

• :tv: Videos by Volodymyr Kuleshov

• :film_projector: Slides by Joan Bruna and others

• :film_projector: Slides by Ryan Rifkin and others

• :writing_hand: Notes by Tao Sun — Original Source

• :writing_hand: Notes by Erik Koene — Original Source

• :black_joker: Cheatsheet by Frank Dai — Original Source

• :black_joker: Cheatsheet by Erik Koene — Original Source

• :black_joker: Cheatsheet by Aaron Wang — Original Source

• :black_joker: Cheatsheet by Aqeel Anwar — Original Source

• :black_joker: Cheatsheet by Janus Advincula — Original Source

• :black_joker: Cheatsheet by ETH Zürich students — Original Source

• :film_projector: Slides on Machine Learning and Deep Learning by Sargur Srihari

• :black_joker: Cheatsheet by Afshine Amidi and Shervine Amidi — Original Source

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

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

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

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

:thought_balloon: Mathematical Logic

• :tv: Videos by P.D. Magnus

• :film_projector: Slides by Larry Paulson

• :film_projector: Slides by Christopher Pulte

• :writing_hand: Notes by Stefan Bilaniuk — Original Source

• :writing_hand: Notes by Stephen Simpson — Original Source

• :writing_hand: Notes by Helmut Schwichtenberg — Original Source

:triangular_ruler: Measure Theory

• :tv: Videos by Claudio Landim

• :tv: Videos by Julian Großmann

• :writing_hand: Notes by Peter Straka — Original Source

• :writing_hand: Notes by Gautam Iyer — Original Source

• :writing_hand: Notes by John Hunter — Original Source

• :writing_hand: Notes by Samuel Coskey — Original Source

• :writing_hand: Notes by Steven Nguyen — Original Source

:abacus: Number Theory

• :tv: Videos by zetamath

• :tv: Videos by MathMajor

• :tv: Videos by Michael Penn

• :tv: Videos by Richard Borcherds

• :writing_hand: Notes by Alina Ostafe — Original Source

• :writing_hand: Notes by Otto Forster — Original Source

• :writing_hand: Notes by Pavel Kolesnikov and Evgeny Vdovin — Original Source

:game_die: Probability Theory

• :film_projector: Slides by Eli Upfal

• :tv: Videos by Claudio Landim

• :tv: Videos by Lê Nguyên Hoang

• :tv: Videos by Mathematical Monk

• :tv: Videos Part I by Michael Cranston

• :tv: Videos Part II by Michael Cranston

• :writing_hand: Notes by Dirk Kroese — Original Source

• :tv: Videos by John Tsitsiklis and Patrick Jaillet

• :writing_hand: Notes by Joseph Watkins — Original Source

• :black_joker: Cheatsheet by Peleg Michaeli — Original Source

• :black_joker: Cheatsheet by Fabián Kozynski — Original Source

• :black_joker: Cheatsheet by Janus Advincula — Original Source

• :writing_hand: Notes by Anna Brandenberger — Original Source

• :black_joker: Cheatsheet by Max Kasperowski — Original Source

• :black_joker: Cheatsheet by William Chen and Joe Blitzstein — Original Source

• :black_joker: Cheatsheet by Afshine Amidi and Shervine Amidi — Original Source

:horse: Real Analysis

• :tv: Videos by Michael Penn

• :tv: Videos by Julian Großmann

:basket: Set Theory

• :tv: Notes by Mathoma

• :writing_hand: Notes by Sylvain Poirier

• :writing_hand: Notes by Tero Harju — Original Source

• :writing_hand: Notes by William Weiss — Original Source

:bar_chart: Statistical Theory

• :tv: Videos by Philipp Berens

• :tv: Videos by Benjamin Lambert

• :writing_hand: Notes by Ryan Martin — Original Source

• :writing_hand: Notes by Adolfo Rumbos — Original Source

• :black_joker: Cheatsheet by Edward O'Callaghan — Original Source

• :black_joker: Cheatsheet by Afshine Amidi and Shervine Amidi — Original Source

• :black_joker: Cheatsheet on Statistical Analysis by Janus Advincula — Original Source

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

:wrestling: Surreal Numbers

• :book: Book by Donald Knuth

• :writing_hand: Notes by Gretchen Grimm — Original Source

• :writing_hand: Notes by Melissa Gymrek and Jing Li — Original Source

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

:globe_with_meridians: Topology

• :tv: Videos by Boarbarktree

• :tv: Videos by Jeremy Mann

• :tv: Videos by Sidney Morris

• :book: Book by Michael Hitchman

• :tv: Videos by Norman Wildberger

• :tv: Videos Part I by Siddhartha Gadgil

• :tv: Videos Part I by Richard Borcherds

• :tv: Videos Part II by Siddhartha Gadgil

• :tv: Videos Part II by Richard Borcherds

• :tv: Videos Part III by Siddhartha Gadgil

• :tv: Videos Part III by Richard Borcherds

• :writing_hand: Notes by Holworth — Original Source

• :writing_hand: Notes by Daniel Chan — Original Source

• :writing_hand: Notes by Henchen Hu — Original Source

• :writing_hand: Notes by Tilman Bauer — Original Source

• :writing_hand: Notes by Martin Čadek — Original Source

• :writing_hand: Notes by Renzo Cavalieri — Original Source

• :writing_hand: Notes by Michael Starbird — Original Source

• :black_joker: Cheatsheet by Edward O'Callaghan — Original Source

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

:slot_machine: Various Topics

• :books: Collection of Math Notes

• :writing_hand: Infinitely Large Napkin by Evan Chen

• :writing_hand: Notes from Cambridge by Dexter Chua

• :tv: Videos on Tensor Calculus by Robert Davie

• :book: How Euler Did It Book by Ed Sandifer

• :book: Symmetry Book by Marc Bezem and others

• :writing_hand: EuclideanSpace - Mathematics and Computing by Martin Baker

• :tv: Chaos Videos by Jos Leys, Étienne Ghys and Aurélien Alvarez

• :thought_balloon: Web Site on 4D Geometry Visualization by H.S. Teoh

• :film_projector: Slides on Discrete Structures and Probability by Robert Lewis

• :tv: Videos on Introduction to Higher Mathematics by Bill Shillito

• :tv: Dimensions Videos by Jos Leys, Étienne Ghys and Aurélien Alvarez

• :tv: Videos on Mathematics for Machine Learning by Ulrike von Luxburg

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

• :black_joker: Cheatsheet on Undergraduate Mathematics by Rutuj Gavankar — Original Source

• :writing_hand: Notes on Undergraduate Mathematics by Nathan Typanski — Original Source

• :film_projector: Slides on Mathematics for Computer Science by Tom Leighton and Marten van Dijk

• :film_projector: Slides on Mathematics in Toys and Games by Jing Li, Erik Demaine and Melissa Gymrek

• :book: Everything You Always Wanted To Know About Mathematics: A Guided Journey Into the World of Abstract Mathematics and the Writing of Proofs by Brendan Sullivan