Why Prove It Again?: Alternative Proofs in Mathematical Practice

by John W. Dawson Jr.

Book Overview

Proofs in Mathematical Practice.- Motives for Finding Alternative Proofs.- Sums of Integers.- Quadratic Surds.- The Pythagorean Theorem.- The Fundamental Theorem of Arithmetic.- The Infinitude of the Primes.- The Fundamental Theorem of Algebra.- Desargues's Theorem.- The Prime Number Theorem.- The Irreducibility of the Cyclotomic Polynomials.- The Compactness of First-Order Languages.- Other Case Studies.

• Format: Hardcover
• Language: English
• ISBN: 3319173677
• ISBN13: 9783319173672
• Release Date: July 2015
• Publisher: Birkhauser
• Length: 204 Pages
• Weight: 1.07 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"