Modular Forms and Fermat's Last Theorem
| Author | : | |
| Rating | : | 4.43 (798 Votes) |
| Asin | : | 0387989986 |
| Format Type | : | paperback |
| Number of Pages | : | 582 Pages |
| Publish Date | : | 2014-03-16 |
| Language | : | English |
DESCRIPTION:
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. 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. 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. This volume contains the expanded lectures gi
Yet another application of elliptic curves Dr. Lee D. Carlson The successful proof of Fermat's Last Theorem by Andrew Wiles was probably the most widely publicized mathematical result of the 20th century. And once again, among their numerous other applications, elliptic curves are employed in the proof. The book is a compilation of articles written by first-class mathematicians, the reading of which will give one a thorough understanding of the proof, along with an overview of some very interesting topics in number theory and algebraic geometry. The reader who undertakes an understanding of the proof already no doubt has a substantial amount of 'mathematical maturity', and no review, no matter how comp. Jens Leopold said Highly recommended. This item is very instructively, not only for "real" mathematicians. Of course, sometimes it's very difficult to "read". It gives me pleasure to own the proof of FLT.. A Customer said Great?!?!. This book might be good if you like number theory. But if you're an analyst who hates number theory or a brick-layer, then this book is probably not meant for you. I hope you found this review helpful. Have a nice day.
Indeed, the subject is already expanding with the recent researches of Conrad, Darmon, Diamond, Skinner and others. "The story of Fermat's last theorem (FLT) and its resolution is now well known. The purpose of the book under review is to highlight and amplify these developments. Because of its simplicity, it has tantalized amateurs and professionals alike, and its remarkable fecundity has led to the development of large areas of mathematics such as, in the last century, algebraic number theory, ring theory, algebraic geometry, and in this century, the theory of elliptic curves, representation theory, Iwasawa theory, formal groups,