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