Wiles's proof of Fermat's Last Theorem has stood up to the scrutiny of the world's other mathematical experts. Wiles was interviewed for an episode of the BBC documentary series Horizon that focused on Fermat's Last Theorem.

• Fermat's Last Theorem Proof

Author: Harold M. Edwards Publisher: Springer Science & Business Media ISBN: 020 Size: 29.76 MB Format: PDF, Mobi View: 5280 This introduction to algebraic number theory via 'Fermat's Last Theorem' follows its historical development, beginning with the work of Fermat and ending with Kummer theory of 'ideal' factorization.

Fermat's Last Theorem Proof

In treats elementary topics, new concepts and techniques; and it details the application of Kummer theory to quadratic integers, relating it to Gauss theory of binary quadratic forms, an interesting connection not explored in any other book. Author: Gary Cornell Publisher: Springer Science & Business Media ISBN: Size: 76.67 MB Format: PDF View: 2431 This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles'theorem into a more general Diophantine context suggesting future applications.