Great Theorems A History Of Mathematical Proof

1. 1.Why the History of Proof Matters: What Makes Something "Proof" at All?
2. 2.Euclid & the Birth of Axiomatic Proof
3. 3.The Infinitude of Primes: Proof by Contradiction as History, Not Just Technique
4. 4.The Pythagorean Theorem: Hundreds of Proofs, One Truth
5. 5.The Irrationality of √2 and the Crisis It Caused
6. 6.Non-Euclidean Geometry: When a "Self-Evident" Axiom Turned Out Not to Be
7. 7.The Four Color Theorem: The First Major Computer-Assisted Proof, and the Real Controversy It Caused
8. 8.Fermat's Last Theorem: A 358-Year Wait
9. 9.Gödel's Incompleteness Theorems: The Limits of Proof Itself
10. 10.Capstone: Constructive vs. Non-Constructive Proof, and What "Knowing Something Is True" Really Means