• 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: Contemporary Mathematics

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: Number Theory

  • Introduction — Number Theory
  • Fibonacci Numbers
  • Primes and Congruences
  • Partitions
  • Power Partitions
  • The World's Greatest Mathematical Problem

Discovering the Art of Mathematics: Knot Theory

  • Tangles
  • Knot Projections and Knot Equivalency
  • Composite Knots and Knot Enumeration

Discovering the Art of Mathematics: Patterns

  • Patterns of the Day
  • Patterns: Linear and Arithmetic

Discovering the Art of Mathematics: Geometry

  • Dimensional Interplay in Other Fields

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

  • Proof
  • Proving Circles Can Kiss
  • Knights and Knaves

Discovering the Art of Mathematics: Games & Puzzles

  • Rubik's Cube
  • Straight-cut Origami