• Art and Sculpture Book
  • Calculus Book
  • Dance Book
  • Games and Puzzles Book
  • Geometry Book
  • Knot Theory Book
  • Music Book
  • Number Theory Book
  • Patterns Book
  • Infinite Book
  • Truth, Reasoning, Certainty, and Proof Book

Topic Index: Logic/Axioms/Foundations

Currently, our books are written with a semester long course in mind. However, many of the individual chapters from different books can be grouped together to create a semester long course with a variety of topics or they can be used to supplement a topic in an exisiting course. To use this topic index, click a heading below to view the specific book chapter(s) featuring a given topic.

Discovering the Art of Mathematics: Truth, Reasoning, Certainty, & Proof

  • Doubt
  • Types of Reasoning
  • Limits of Knowledge
  • $20^{\text{th}}$ Century Revolutions in Thought
  • Knights and Knaves

Discovering the Art of Mathematics: The Infinite

  • Introduction: The Infinite and New Number Systems
  • Sizes of Infinity

Discovering the Art of Mathematics: Games & Puzzles

  • Sudoku
  • Connection Games — Hex, ConHex, ...
  • One pile, two pile, three piles