Course MapProof Techniques & Problem Solving
Proof Techniques & Problem Solving
Apply direct proof, proof by contradiction, mathematical induction, and invariants
📖Youssef is preparing for a math olympiad. He needs to prove that √2 is irrational, that the sum formula works for all n, and that a game always ends. Each requires a different proof technique!
🧠Fun Fact
The proof that √2 is irrational was discovered by the Pythagoreans around 500 BC. Legend says they were so disturbed they drowned the discoverer!