Explore a 23-minute video lecture presenting a simple proof of the irrationality of pi (Ï€). Delve into the mathematical concept that pi cannot be expressed as a ratio of two integers. Follow along as the instructor guides you through the proof, utilizing induction and arbitrary derivatives. Gain insights into this fundamental property of one of mathematics' most famous constants, based on the original article from Project Euclid. Enhance your understanding of number theory and mathematical reasoning through this concise yet comprehensive explanation.
Overview
Syllabus
Intro
Proof
Induction
Pi is irrational
The proof
The arbitrary derivative
Taught by
Michael Penn