This is a list of math resources mentioned in the blog.
Print Books
• Analysis with an Introduction to Proof by Steven R. Lay
• Biscuits of Number Theory ed. by Arthur T. Benjamin and Ezra Brown
• Chapter Zero: Fundamental Notions of Abstract Mathematics by Carol Schumacher
• Infinite Powers by Steven Strogatz
• The Joy of X by Steven Strogatz
• The Mathematical Tourist by Ivars Peterson
• Number Theory by George E. Andrews
• Single Variable Calculus by James Stewart
Online Books and Chapters
• OpenStax’s Algebra and Trigonometry by Jay Abramson et al.
• LibreText’s Elementary Number Theory by Mike Barrus & W. Edwin Clark
• [not recommended] LibreText’sElementary College Geometry by Henry Africk
• Mathematical Games, November 1959 (about Graeco-Latin squares) by Martin Gardner
• Penrose Tiling by Martin Gardner
• Review of Algebra, Review of Analytic Geometry, and Review of Conics by James Stewart et al.
• A Short Account of the History of Mathematics by W. W. Rouse Ball
Repositories of Online Books
• LibreTexts
• OpenStax
Problems
• AMC Problems and Solutions from Art of Problem Solving
• Macalester College Problem of the Week
Videos
• 3blue1brown’s Group theory, abstraction, and the 196,883-dimensional monster
• 3blue1brown’s Lockdown Math series (specifically episodes 2-4)
• 3blue1brown’s Who cares about topology? (Inscribed rectangle problem)
• 3blue1brown’s Why slicing a cone gives an ellipse (beautiful proof)
• Ben Syversen’s The Simple Math That Led to Einstein’s Relativity
• Jack Hanke’s The Mosaic Problem – How and Why to Do Math for Fun
• Morphocular’s The Concept So Much of Modern Math is Built On | Compactness
• Morphocular’s The Wonderful World of Weird Wheels series
• Numberphile’s A Miraculous Proof (Ptolemy’s Theorem)
• PBS Infinite Series’s Voting Systems and the Condorcet Paradox
• Prof Mihai Nika’s Estimate π with Pasta? Buffon’s Needle & Noodle Problem. Why Pi?
—On Tiling
• Up and Atom’s How a Hobbyist Solved a 50-Year-Old Math Problem (Einstein Tile)
• Numberphile’s Discovery of the Aperiodic Monotile
• Veritasium’s The Infinite Pattern That Never Repeats
• minutephysics’s Why Penrose Tiles Never Repeat
YouTube Channels
• 3blue1brown
• Ben Syversen
• Morphocular
• Numberphile
“The Great Courses” Series
• The Joy of Math by Arthur T. Benjamin
Forums
• Learn Math Subreddit (r/learnmath)
• Math Help Forum
• Mathematics Stack Exchange
Tools
• Desmos
Other
• A Brief History of Mathematics radio series
• The On-Line Encyclopedia of Integer Sequences