Maths

Resources

Articles

• An animated introduction to Fourier Series - Andrei Ciobanu

  • Part 1: From the Circle to Epicycles

• An Interactive Introduction to Fourier Transforms - Jez Swanson

• Doomsday Algorithm

• How to Study Mathematics - Lawrence Neff Stout, Illinois Wesleyan University

• So You Want to Study Mathematics… - Susan Rigetti

• The Mathematics of 2048 - John Lees-Miller

  • Minimum Moves to Win with Markov Chains (HN)

  • Counting States with Combinatorics (HN)

  • Counting States by Exhaustive Enumeration (HN)

  • Optimal Play with Markov Decision Processes (HN)

Books

Discrete Mathematics

• A Logical Approach to Discrete Math - David Gries, Fred B. Schneider

• Concrete Mathematics - Ronald Graham, Donald Knuth, Oren Patashnik

• Discrete and Combinatorial Mathematics - Ralph Grimaldi

• Discrete Mathematics: An Open Introduction - Oscar Levin

• Discrete Mathematics with Applications - Susanna Epp

• Discrete Mathematics with Graph Theory - Edgar G. Goodaire, Michael M. Parmenter

• Mathematics: A Discrete Introduction - Edward R. Scheinerman

• A Gentle Introduction to the Art of Mathematics - Joe Fields, Southern Connecticut State University

• Algebraic Topology - Allen Hatcher

  • YouTube playlist

• An Infinite Descent into Pure Mathematics - Clive Newstead

• Calculus - Michael Spivak

• Calculus for Beginners and Artists - Daniel J. Kleitman

• Calculus Made Easy - Silvanus P. Thompson

• Calculus On Manifolds - Michael Spivak

• Complex Analysis - Serge Lang

• Everything You Always Wanted To Know About Mathematics - Brendan W. Sullivan

• How To Solve It - George Polya

  • Summary by Peter Alfeld

• Immersive Linear Algebra - Jacob Ström, Kalle Åström, and Tomas Akenine-Möller

• Introduction to Linear Algebra - Gilbert Strang

• Linear Algebra Done Right - Sheldon Axler

  • YouTube playlist

• Mathematical Handbook - Higher Mathematics - M. Vygodsky

• Topics in Algebra - I. N. Herstein

• Understanding Analysis - Stephen Abbott

Courses

• Calculus Applied! - John Wesley Cain, Juliana Belding, Peter M. Garfield

• Calculus: Single Variable - Robert Ghrist

  • Part 1 - Functions

  • Part 2 - Differentiation

  • Part 3 - Integration

  • Part 4 - Applications

• Introduction to Complex Analysis - Petra Bonfert-Taylor

  • YouTube playlist

• Introduction to Discrete Mathematics for Computer Science

• Linear Algebra - Gilbert Strang

• Physics and Mathematics Self-Study Project - Diego Vera

GitHub Repositories

• Math As Code

Hacker News threads

• Can you recommend me a book to (re)learn math?

• Math books that made you significantly better at math?

• Serious mathematics books that can replace a good teacher?

Websites

• Desmos

• Easing Functions Cheat Sheet

• Khan Academy

• Math Academy

• Setosa - data visualization and visual explanations

• Symbolica

• teachyourselfmath

YouTube Channels

• 3Blue1Brown

• Aleph 0

• blackredpen

• Eddie Woo

• Mathologer

• Michael Penn

• Mind Your Decisions

• Numberphile

• vcubingx

• Vsauce

YouTube Playlists

• Abstract Algebra - Harvard

• Calculus Revisited: Single Variable Calculus - MIT

• Coding the Matrix - Linear Algebra through Computer Science Applications

• Linear Algebra - Gilbert Strang, MIT

• Real Analysis - Francis Su, Harvey Mudd College