Chapter 2: An ancient theorem and a modern question

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Preliminaries

  • Know how to visually represent addition, subtraction, multiplication, and powers
  • Know what squares (powers of two) and square roots are
  • Know what an equation and the solution of an equation is (note that an equation can have more than one solution!)

Resources

Interactive

Pythagorean Theorem Proof by Community Contributor @TimAlex

Euclidia

Euclid’s Elements

Videos

Playing Sports in Hyperbolic Space

Ditching the Fifth Axiom

The Essence of Linear Algebra

Books

The Four Pillars of Geometry by John Stillwell

Linear Algebra Done Right by Sheldon Axler


See More

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