The Renewal Equation

A math odyssey

Highlights

Below are what I consider my most interesting posts and post series.

Take Drugs, Do Math – personal

Squares as Products of Squares – number theory

Revenge of the Squares – geometry
• Squares Again
• Revenge of the Squares, Part 1
• Revenge of the Squares, Part 2

Practicing Math – musings

Squares as Sums of Odd Numbers – number theory
• Squares as Sums of Odd Numbers, Part 1
• Squares as Sums of Odd Numbers, Part 2

Rational-a-Rama – number theory
• About Division
• Jiggety Jig
• Rational-a-Rama
• Conic Completion Day

Stewart’s Calculus – personal

Parallel and Perpendicular Lines – coordinate geometry
• Parallel Lines
• Perpendicular Lines

Digit Sums – number theory
• More Notebook Archeology
• Elegance and Regret
• More Digit Sums

Parabola-a-Go-Go – conics and trigonometry
• Unfocus Meets Focus
• Parabolic Reflections
• Parabola-a-Go-Go, Part 1
• Parabola-a-Go-Go, Part 2
• Parabola-a-Go-Go, Part 3
• Parabola-a-Go-Go, Part 4

Ludare est Orare – musings

Dawdler’s Triangle – geometry
• Ptolemy’s Theorem and Others
• Groundwork
• Before and After
• Easy Lemmas
• Angles and Arcs
• The Proof at Last

Fun with Logarithms – number theory
• Fun with Logarithms
• Less Fun with Logarithms

Parabola Magic – coordinate geometry

Interchangeable Functions – algebra
• Olly Returns
• Can’t Live With ‘Em…