Math

Hopefully writing about mathematics helps me stay connected to mathematics.

Contents

• Category Theory
  • Introduction to Categories I: The Data of a Category
  • Categories and Relational Databases
  • Categories and Relational Databases II: Wheres
  • Categories and Relational Databases III: Joins
• Homotopy Theory
  • The Chevalley-Eilenberg Construction
  • The Connected Components of a Space
• Information Theory
  • Crash Course in Information and Absolute Entropy
  • Crash Course in Relative Entropy I: Mutual Information
• Probability Theory
  • Probabilistic Notation
  • Tables to Probabilities
• Geometry
• Linear Algebra
  • Introduction to Homological Algebra I: Motivation
  • Introduction to Homological Algebra IV: Maps
  • Introduction to Homological Algebra V: More Maps