Modular Forms And Fermat S Last Theorem


Fermats Last Theorem The Proof
Author: Gary Cornell
Publisher: Springer Science & Business Media
ISBN: 1461219744
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Modular Forms And Fermat S Last Theorem

eBook File: Fermats-last-theorem-the-proof.PDF Book by Gary Cornell, Modular Forms And Fermat S Last Theorem Books available in PDF, EPUB, Mobi Format. Download Modular Forms And Fermat S Last Theorem books, 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. Students and professional mathematicians alike will find this an indispensable resource.


Modular Forms and Fermat’s Last Theorem
Language: en
Pages: 582
Authors: Gary Cornell, Joseph H. Silverman, Glenn Stevens
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media
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
Fermat’s Last Theorem for Amateurs
Language: en
Pages: 408
Authors: Paulo Ribenboim
Categories: Mathematics
Type: BOOK - Published: 2000-03-10 - Publisher: Springer Science & Business Media
In 1995, Andrew Wiles completed a proof of Fermat's Last Theorem. Although this was certainly a great mathematical feat, one shouldn't dismiss earlier attempts made by mathematicians and clever amateurs to solve the problem. In this book, aimed at amateurs curious about the history of the subject, the author restricts
Fermat's Last Theorem
Language: en
Pages: 407
Authors: Harold M. Edwards
Categories: Mathematics
Type: BOOK - Published: 2000-01-14 - Publisher: Springer Science & Business Media
This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such as Eulers proof of the impossibilty of x+y=z, are treated in an uncomplicated
Algebraic Number Theory and Fermat's Last Theorem
Language: en
Pages: 322
Authors: Ian Stewart, David Tall
Categories: Mathematics
Type: BOOK - Published: 2015-10-14 - Publisher: CRC Press
Updated to reflect current research, Algebraic Number Theory and Fermat’s Last Theorem, Fourth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics—the quest for a proof of Fermat’s Last Theorem. The authors use this celebrated theorem to motivate a
Fermat’s Last Theorem
Language: en
Pages: 368
Authors: Simon Singh
Categories: Science
Type: BOOK - Published: 2012-11-22 - Publisher: HarperCollins UK
‘I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.’
The Universe in Zero Words
Language: en
Pages: 224
Authors: Dana Mackenzie
Categories: Mathematics
Type: BOOK - Published: 2013-08-25 - Publisher: Princeton University Press
Most popular books about science, and even about mathematics, tiptoe around equations as if they were something to be hidden from the reader's tender eyes. Dana Mackenzie starts from the opposite premise: He celebrates equations. No history of art would be complete without pictures. Why, then, should a history of
Congruence Surds and Fermat's Last Theorem
Language: en
Pages: 33
Authors: Max Michael Munk
Categories: Congruences and residues
Type: BOOK - Published: 1977 - Publisher:
Books about Congruence Surds and Fermat's Last Theorem
Elliptic Curves, Modular Forms & Fermat's Last Theorem
Language: en
Pages: 340
Authors: John Coates, Shing-Tung Yau
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: International Pressof Boston Incorporated
These proceedings are based on 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. The survey article describing Wile's work is included as the first article in the present edition.
Reasoning
Language: en
Pages: 288
Authors: Magdalena Balcerak Jackson
Categories: Reasoning
Type: BOOK - Published: 2019-05-02 - Publisher: Oxford University Press, USA
Philosophers have always recognized the value of reason, but the process of reasoning itself has only recently begun to emerge as a philosophical topic in its own right. Is reasoning a distinctive kind of mental process? If so, what is its nature? How does reasoning differ from merely freely associating
Fermat's Last Theorem: The Proof
Language: en
Pages: 234
Authors: Takeshi Saito
Categories: Mathematics
Type: BOOK - Published: 2014-12-18 - Publisher: American Mathematical Soc.
This is the second volume of the book on the proof of Fermat's Last Theorem by Wiles and Taylor (the first volume is published in the same series; see MMONO/243). Here the detail of the proof announced in the first volume is fully exposed. The book also includes basic materials