Seminar On Fermat S Last Theorem

Author : Vijaya Kumar Murty
Publisher : American Mathematical Soc.
Page : 278 pages
File Size : 43,6 Mb
Release : 1995
Category : Mathematics
ISBN : 9780821803134

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Seminar on Fermat's Last Theorem by Vijaya Kumar Murty Pdf

The most significant recent development in number theory is the work of Andrew Wiles on modular elliptic curves. Besides implying Fermat's Last Theorem, his work establishes a new reciprocity law. Reciprocity laws lie at the heart of number theory. Wiles' work draws on many of the tools of modern number theory and the purpose of this volume is to introduce readers to some of this background material. Based on a seminar held during 1993-1994 at the Fields Institute for Research in Mathematical Sciences, this book contains articles on elliptic curves, modular forms and modular curves, Serre's conjectures, Ribet's theorem, deformations of Galois representations, Euler systems, and annihilators of Selmer groups. All of the authors are well known in their field and have made significant contributions to the general area of elliptic curves, Galois representations, and modular forms. Features: Brings together a unique collection of number theoretic tools. Makes accessible the tools needed to understand one of the biggest breakthroughs in mathematics. Provides numerous references for further study.

Author : Gary Cornell,Joseph H. Silverman,Glenn Stevens
Publisher : Springer Science & Business Media
Page : 608 pages
File Size : 49,9 Mb
Release : 1997
Category : Mathematics
ISBN : 0387946098

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Modular Forms and Fermat’s Last Theorem by Gary Cornell,Joseph H. Silverman,Glenn Stevens Pdf

A collection of expanded versions of lectures given at an instructional conference on number theory and arithmetic geometry held at Boston University. 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 proof, theory of elliptic curves, modular functions, modular curves, Galois cohomology, and finite group schemes. In recognition of the historical significance of Fermat's Last Theorem, the volume concludes by reflecting on the history of the problem, while placing Wiles' theorem into a more general Diophantine context suggesting future applications.

Author : Arthur C. Clarke,Frederik Pohl
Publisher : HarperCollins UK
Page : 23 pages
File Size : 41,9 Mb
Release : 2008-12-07
Category : Fiction
ISBN : 9780007308149

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The Last Theorem by Arthur C. Clarke,Frederik Pohl Pdf

The final work from the brightest star in science fiction’s galaxy. Arthur C Clarke, who predicted the advent of communication satellites and author of 2001: A Space Odyssey completes a lifetime career in science fiction with a masterwork.

Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
Page : 306 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468493429

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13 Lectures on Fermat's Last Theorem by Paulo Ribenboim Pdf

Lecture I The Early History of Fermat's Last Theorem.- 1 The Problem.- 2 Early Attempts.- 3 Kummer's Monumental Theorem.- 4 Regular Primes.- 5 Kummer's Work on Irregular Prime Exponents.- 6 Other Relevant Results.- 7 The Golden Medal and the Wolfskehl Prize.- Lecture II Recent Results.- 1 Stating the Results.- 2 Explanations.- Lecture III B.K. = Before Kummer.- 1 The Pythagorean Equation.- 2 The Biquadratic Equation.- 3 The Cubic Equation.- 4 The Quintic Equation.- 5 Fermat's Equation of Degree Seven.- Lecture IV The Naïve Approach.- 1 The Relations of Barlow and Abel.- 2 Sophie Germain.- 3 Co.

Author : Gary Cornell,Joseph H. Silverman,Glenn Stevens
Publisher : Springer Science & Business Media
Page : 592 pages
File Size : 53,8 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461219743

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Modular Forms and Fermat’s Last Theorem by Gary Cornell,Joseph H. Silverman,Glenn Stevens Pdf

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.

Author : Takeshi Saitō
Publisher : American Mathematical Soc.
Page : 218 pages
File Size : 40,7 Mb
Release : 2013-11-01
Category : Mathematics
ISBN : 9780821898482

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Fermat's Last Theorem by Takeshi Saitō Pdf

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.

Author : Charles J. Mozzochi
Publisher : American Mathematical Soc.
Page : 246 pages
File Size : 49,8 Mb
Release : 2000
Category : Mathematics
ISBN : 0821826700

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The Fermat Diary by Charles J. Mozzochi Pdf

This book concentrates on the final chapter of the story of perhaps the most famous mathematics problem of our time: Fermat's Last Theorem. The full story begins in 1637, with Pierre de Fermat's enigmatic marginal note in his copy of Diophantus's Arithmetica. It ends with the spectacular solution by Andrew Wiles some 350 years later. The Fermat Diary provides a record in pictures and words of the dramatic time from June 1993 to August 1995, including the period when Wiles completed the last stages of the proof and concluding with the mathematical world's celebration of Wiles' result at Boston University. This diary takes us through the process of discovery as reported by those who worked on the great puzzle: Gerhard Frey who conjectured that Shimura-Taniyama implies Fermat; Ken Ribet who followed a difficult and speculative plan of attack suggested by Jean-Pierre Serre and established the statement by Frey; and Andrew Wiles who announced a proof of enough of the Shimura-Taniyama conjecture to settle Fermat's Last Theorem, only to announce months later that there was a gap in the proof. Finally, we are brought to the historic event on September 19, 1994, when Wiles, with the collaboration of Richard Taylor, dramatically closed the gap. The book follows the much-in-demand Wiles through his travels and lectures, finishing with the Instructional Conference on Number Theory and Arithmetic Geometry at Boston University. There are many important names in the recent history of Fermat's Last Theorem. This book puts faces and personalities to those names. Mozzochi also uncovers the details of certain key pieces of the story. For instance, we learn in Frey's own words the story of his conjecture, about his informal discussion and later lecture at Oberwolfach and his letter containing the actual statement. We learn from Faltings about his crucial role in the weeks before Wiles made his final announcement. An appendix contains the Introduction of Wiles' Annals paper in which he describes the evolution of his solution and gives a broad overview of his methods. Shimura explains his position concerning the evolution of the Shimura-Taniyama conjecture. Mozzochi also conveys the atmosphere of the mathematical community--and the Princeton Mathematics Department in particular--during this important period in mathematics. This eyewitness account and wonderful collection of photographs capture the marvel and unfolding drama of this great mathematical and human story.

Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 49,7 Mb
Release : 2008-01-21
Category : Mathematics
ISBN : 9780387216928

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Fermat’s Last Theorem for Amateurs by Paulo Ribenboim Pdf

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 his attention exclusively to elementary methods that have produced rich results.

Author : Albert Cuoco,Joseph Rotman
Publisher : MAA
Page : 481 pages
File Size : 55,6 Mb
Release : 2013
Category : Mathematics
ISBN : 9781939512017

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Learning Modern Algebra by Albert Cuoco,Joseph Rotman Pdf

A guide to modern algebra for mathematics teachers. It makes explicit connections between abstract algebra and high-school mathematics.

Author : Simon Singh
Publisher : HarperCollins UK
Page : 368 pages
File Size : 44,8 Mb
Release : 2012-11-22
Category : Science
ISBN : 9780007381999

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Fermat’s Last Theorem by Simon Singh Pdf

‘I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.’

Author : L. J. Mordell
Publisher : Forgotten Books
Page : 46 pages
File Size : 50,5 Mb
Release : 2015-06-25
Category : Mathematics
ISBN : 1330431723

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Three Lectures on Fermat's Last Theorem by L. J. Mordell Pdf

Excerpt from Three Lectures on Fermat's Last Theorem In March 1920, I gave at Birkbeck College, London, a course of three public lectures on Fermat's Last Theorem. The lectures were intended primarily for persons with a mathematical training, but not necessarily for those who bad made a special study of the Theory of Numbers. A general account was given of the various methods that have been devised for dealing with the question, more attention being paid to principles than to details. This booklet consists of the lectures in practically the form in which they were delivered. It also includes a few details which it was found convenient to omit from the lectures. I hope it may be of assistance in giving to the reader come idea, not only of the difficulties involved, but also of the progress made in dealing with this famous theorem. I have to acknowledge my indebtedness not only to the authors mentioned herein, but also to the works of Smith, Bachmann, Hilbert, Kronecker, Sommer, and Dickson, on the Theory of Numbers. Full references to the subject are given by Dickson in his very useful paper on "Fermat's Last Theorem" in the Annals of Mathematics, Vol. xviii. 1917 ;and in Vol. n.of his History of the Theory of Numbers,- which has just been published. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author : Simon Singh
Publisher : A&C Black
Page : 272 pages
File Size : 54,6 Mb
Release : 2013-10-29
Category : Performing Arts
ISBN : 9781408835319

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The Simpsons and Their Mathematical Secrets by Simon Singh Pdf

You may have watched hundreds of episodes of The Simpsons (and its sister show Futurama) without ever realising that they contain enough maths to form an entire university course. In The Simpsons and Their Mathematical Secrets, Simon Singh explains how the brilliant writers, some of the mathematicians, have smuggled in mathematical jokes throughout the cartoon's twenty-five year history, exploring everything from to Mersenne primes, from Euler's equation to the unsolved riddle of P vs. NP, from perfect numbers to narcissistic numbers, and much more. With wit, clarity and a true fan's zeal, Singh analyses such memorable episodes as 'Bart the Genius' and 'Homer3' to offer an entirely new insight into the most successful show in television history.

Author : John Henry Coates
Publisher : Unknown
Page : 340 pages
File Size : 47,6 Mb
Release : 1997
Category : Curves, Elliptic
ISBN : 157146185X

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Elliptic Curves, Modular Forms, and Fermat's Last Theorem by John Henry Coates Pdf

Author : Stieg Larsson
Publisher : Vintage
Page : 738 pages
File Size : 52,6 Mb
Release : 2010
Category : Blomkvist, Mikael (Fictitious character)
ISBN : 9780307476159

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The Girl who Played with Fire by Stieg Larsson Pdf

When the reporters to a sex-trafficking exposé are murdered and computer hacker Lisbeth Salander is targeted as the killer, Mikael Blomkvist, the publisher of the exposé, investigates to clear Lisbeth's name.

Author : Koblitz
Publisher : Springer Science & Business Media
Page : 366 pages
File Size : 49,7 Mb
Release : 2013-11-21
Category : Science
ISBN : 9781489966995

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Number Theory Related to Fermat’s Last Theorem by Koblitz Pdf