Topical Archive

Infinity

• Infinity plus one
• The size of infinity
• A bigger infinity
• An even biggerer infinity

Geometry

• Asteroids on a Donut
• Manifold Menagerie
• The Birth of Metrics
• Gettin’ Curvy
• The Awesome Theorem
• Trippy Geodesics
• The Gauss-Bonnet Theorem

Relativity

• A Mathematical Intro to Special Relativity
• The Speed of Time: The Twin Paradox
• A Mathematical Intro to General Relativity, Part 1
• A Mathematical Intro to General Relativity: Part 2
• Schwarzschild, Master of the Universe
• Black holes suck
• The Universe on the Other Side (of the Black Hole)
• Cthulhu is Hiding in a Black Hole

Biographies of Mathematicians

• No one liked Cantor
• Schwarzschild, Master of the Universe
• Kurt Gödel’s Story

Differential Equations

• Can You Hear the Shape of a Drum? (Part 1)
• Can You Hear the Shape of a Drum? (Part 2)

Foundations of Mathematics

• What is math?
• Where do axioms come from?
• Gödel’s Incompleteness Theorems
• How Gödel Proved Math’s Inherent Limitations

Measure Theory

• How Long is Infinity?
• The Cantor Set
• Non-measurable Sets That Go Bump in the Night
• Double for Nothing: the Banach-Tarski Paradox
• Double for Nothing, part 2