Chapter 2: An ancient theorem and a modern question

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Preliminaries

• Know how to visually represent addition, subtraction, multiplication, and powers
  • Rethinking Arithmetic: A Visual Guide
• Know what squares (powers of two) and square roots are
  • Squares and Square Roots
• Know what logarithms are
  • https://www.youtube.com/watch?v=zzu2POfYv0Y
• Know what an equation and the solution of an equation is (note that an equation can have more than one solution!)
• Now tie it all together
  • Triangle of Power

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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