Pythagoras' Theorem - Math History - NJ Wildberger

Explore the foundational principles of Pythagoras' theorem in this comprehensive mathematics history lecture. Delve into the ancient Greek mathematical tradition, tracing its roots to Egyptian and Babylonian influences. Examine the theorem's significance, its connection to the irrationality of the square root of two, and Pythagorean triples. Discover the rational parametrization of a circle as developed by Euclid and Diophantus. Gain valuable insights into how the Greeks conceptualized mathematics differently from modern perspectives, and appreciate the historical context of mathematical developments. Ideal for students and enthusiasts seeking a deeper understanding of mathematical history and its relevance to contemporary education.

Introduction
Pythagoras Theorem
Pythagoras
Ancient Babylonians
Euclids Elements
Coordinates
Aha Proof
The Dilemma
Irrationality