Mechanics

• Galileo’s Pendulum & an Unsolved Math Problem
• A Surprise in the Motion of the Simple Pendulum
• A Kinematic-Geometric Proof for the Period of Small Swings
• The Period of a General Swing of the Simple Pendulum
• The Probability of Finding the Pendulum
• The Finest Thing: The Pendulum of Huygens
• Renormalizing the Pendulum
• Elliptic Functions and the Position of the Pendulum
• The Parabolic Pendulum
• The Damped Pendulum
• The Magnetic Pendulum
• The Driven Pendulum
• From Pendulum Swings to Universal Gravitation
• The Dualing Central Forces
• The Spinning Water Bucket
• Where Would It Fall? The Problem of Motion
• The Effective Mass of a Sphere Moving in a Fluid

Quantum Mechanics

• Summoned from the Void: the Casimir Effect and the Quantum Vacuum

Relativity

• A Derivation of the Existence of an Invariant Speed
• Seeing vs. Observing

Mathematics

• An Endless End: Gabriel’s Horn
• Unsolvability of the Quintic via Root Permutations
• Archimedean Area of a Parabolic Segment
• The Mathematical Form of Seashells