Computing With Fermat

By Jason Earls

Computing with Fermat is a lively collection of mathematical articles inspired by the work of Pierre de Fermat. Blending historical curiosity with modern computational techniques, the book explores classic number-theory questions through experimentation and accessible analysis. Chapters such as: Near-Misses of Fermat's Last Theorem, 4k+1 Primes & Squares, Infinite Descent, On Fermat's Factorization Method, and Fun with the Sqrt(n) Primality Test, show how computers can illuminate problems that fascinated Fermat centuries ago. The chapters demonstrate how computational number theory allows mathematicians to test conjectures, explore patterns, and rediscover old ideas in new ways. The project grew out of the author's personal encounter with Simon Singh's 'Fermat's Enigma, ' a book that sparked both comfort and curiosity during a difficult period of life. Inspired by that experience, the author began exploring Fermat-style problems through programming and experimentation. This volume gathers several of the author's papers on Fermat-related topics along with two adapted chapters from 'The Lowbrow Experimental Mathematician.' Together they offer an engaging look at how curiosity, computation, and classical ideas can intersect. Approachable yet mathematically rich, Computing with Fermat invites readers to explore the playful, experimental side of number theory.

• Format: Paperback
• Language: English
• ISBN: 1312681160
• ISBN13: 9781312681163
• Release Date: March 2016
• Publisher: Lulu.com
• Length: 162 Pages
• Weight: 0.54 lbs.
• Dimensions: 0.4" x 6.0" x 9.0"