Modular Forms and Fermat"s Last Theorem.

by Gary Cornell

Publisher: Springer-Verlag,N.Y.

Written in English
Cover of: Modular Forms and Fermat
Published: Pages: 582 Downloads: 518
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Subjects:

  • Curves, Elliptic -- Congresses.,
  • Forms, Modular -- Congresses.,
  • Fermat"s last theorem -- Congresses.

About the Edition

The book will focus on two major topics: (1) Andrew Wiles" recent proof of the Taniyama-Shimura-Weil conjecture for semistable elliptic curves; and (2) the earlier works of Frey, Serre, Ribet showing that Wiles" Theorem would complete the proof of Fermat"s Last Theorem.

Edition Notes

Undergraduate Professional & Scholarly.

The Physical Object
PaginationXIX, 582p. ;
Number of Pages582
ID Numbers
Open LibraryOL22109475M
ISBN 100387989986

Modular Forms and Fermat"s Last Theorem. by Gary Cornell Download PDF EPUB FB2

Elliptic Curves, Modular Forms and Fermat's Last Theorem, 2nd Edition ( re-issue) [various] Paperback. $ Arithmetic Geometry G. Cornell. out of 5 stars 3. Hardcover. $ Only 5 left in stock (more on the way).

Algebraic Number Theory (Graduate Texts in Mathematics ()) Serge Lang. out /5(6). Modular Forms and Fermat’s Last Theorem 1st ed. 3rd printing Edition by Gary Cornell (Editor), Joseph H. Silverman (Editor), Glenn Stevens (Editor) › Visit Amazon's Glenn Stevens Page. Find all the books, read about the author, and more.

See /5(5). Modular Forms and Fermat's Last Theorem Gary Cornell, Joseph H. Silverman, Glenn 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.

Contributor's includeThe purpose of the conference, and of this book, is to introduce and explain the many ideas and techniques used by Wiles in his proof that every (semi-stable) elliptic curve over Q is modular, and to explain how Wiles' result can be combined with Ribet's theorem and ideas of Frey and Serre to show, at long last, that Fermat.

The purpose of the conference, and indeed this book, is to introduce and explain the many ideas and techniques used by Wiles in his proof, and to explain how his result can be combined with Ribet's theorem and ideas of Frey and Serre to show, at long last, that Fermat's Last Theorem is true.

The book begins with an overview of the complete Reviews: 1. Contributor's includeThe purpose of the conference, and of this book, is to Modular Forms and Fermats Last Theorem. book and explain the many ideas and techniques used by Wiles in his proof that every (semi-stable) elliptic curve over Q is modular, and to explain how Wiles' result can be combined with Ribet's theorem and ideas of Frey and Serre to show, at long last, that Fermat Brand: Springer-Verlag New York.

Elliptic Curves, Modular Forms and Fermat's Last Theorem John H. Coates, Shing-Tung Yau (ed.) Proceedings of a conference at the Chinese University of Hong Kong, held in response to Andrew Wile's conjecture that every elliptic curve over Q is modular.

Prehistory: The only case of Fermat’s Last Theorem for which Fermat actu-ally wrote down a proof is for the case n= 4.

To do this, Fermat introduced the idea of infinite descent which is still one the main tools in the study of Diophantine equations, and was to play a central role in the proof of Fermat’s Last Theorem years later.

Buy Modular Forms and Fermat's Last Theorem 1st ed. 3rd printing by Cornell, Gary, Stevens, Glenn, Silverman, Joseph H. (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.5/5(2). Get Free Modular Forms And Fermats Last Theorem Serre to show, at long last, that Fermat Modular Forms And Fermats Last Buy Modular Forms and Fermat's Last Theorem on FREE SHIPPING on qualified orders Modular Forms and Fermat’s Last Theorem - Google Books Separately from anything related to Page 10/   Elliptic curves, modular forms, and the Taniyama-Shimura Conjecture: the three ingredients to Andrew Wiles’ proof of Fermat’s Last Theorem.

This is. AnnalsofMathematics, (), Pierre de Fermat Andrew John Wiles Modular elliptic curves and Fermat’s Last Theorem By AndrewJohnWiles* ForNada,Claire,KateandOlivia. The modularity theorem (formerly called the Taniyama–Shimura conjecture, Taniyama-Weil conjecture or modularity conjecture for elliptic curves) states that elliptic curves over the field of rational numbers are related to modular forms.

Andrew Wiles proved the modularity theorem for semistable elliptic curves, which was enough to imply Fermat's Last Theorem. $\begingroup$ Wiles proof is extremely long and difficult, and you probably won't find the prerequsites in a text-book. However, if you want to understand the idea of the proof there are several good books e.g., "Modular forms and Fermat's last theorem" By Cornell, Silverman, Stevens.

$\endgroup$ – J.C. Ottem Feb 7 '11 at Modular Forms and Fermat's Last Theorem 作者: Cornell, Gary/ Silverman, Joseph H./ Stevens, Glenn 出版社: Springer 出版年: 页数: 定价: USD 装. Get this from a library.

Modular forms and Fermat's last theorem. [Gary Cornell; Joseph H Silverman; Glenn Stevens;] -- "The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions, modular curves, Galois cohomology.

Modular Forms and Fermat's Last Theorem Hardcover – Janu by Gary Cornell (Editor), Joseph H. Silverman (Editor), Glenn Stevens (Editor) › Visit Amazon's Glenn Stevens Page. Find all the books, read about the author, and more. This book, together with the companion volume, Fermat's Last Theorem: The proof, presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor.

With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the deepest achievements in the history of mathematics. Modularity Simon Pampena gets to the heart of proving Fermat's Last Theorem.

More links & stuff in full description below ↓↓↓ Audible: Preface * Contributors * Schedule of Lectures * Introduction * An Overview of the Proof of Fermat's Last Theorem * A Survey of the Arithmetic Theory of Elliptic Curves * Modular Curves, Hecke Correspondences, and L-Functions * Galois Cohomology * Finite Flat Group Schemes * Three Lectures on the Modularity of PE.3 and the Langlands Reciprocity.

For more than three and a half centuries, mathematicians — from the greatnamestothecleveramateurs—triedtoproveFermat’sfamous statement. The approach was new and involved very sophisticated theories.

Finallythelong-soughtproofwasachieved. Thearithmetic theory of elliptic curves, modular forms, Galois representations, and their deformations, developed by many. PDF Modular Forms And Fermats Last Theorem Last Theorem - Springer Modular Forms and Fermat’s Last Theorem | Gary Cornell An Overview of the Proof of Fermat’s Last Theorem A modular form is a function on the unit disk that has special symmetries.

A cusp form is a modular form that is zero at the “cusps” (certain boundary points. This book provides an broad overview of the mathematical advances in the past ca. years that influenced Andrew Wiles' proof of Fermat's Last Theorem. Due to its breadth and the fact that the book is quite short, the author devotes only a few short pages to each mathematician in the survey/5.

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Fermat's last theorem (also known as Fermat's conjecture, or Wiles' theorem) states that no three positive integers x, y, z x,y,z x, y, z satisfy x n + y n = z n x^n + y^n = z^n x n + y n = z n for any integer n > 2 n>2 n > gh a special case for n = 4 n=4 n = 4 was proven by Fermat himself using infinite descent, and Fermat famously wrote in the margin of one of his books in that.

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When I was a post-doc at UBC, we were curious about the proof. We were well enough aware of how much material one would need to digest, that we didn’t ever plan to read the whole thing. It had not been published just yet, but even if it had been.