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Author by : Takeshi Saitō
Languange Used : en
Release Date : 2013-11-01
Publisher by : American Mathematical Soc.
ISBN : 9780821898482
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....
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Author by : Simon Singh
Languange Used : en
Release Date : 2007
Publisher by : HarperCollins UK
ISBN : 9780007241811
The extraordinary story of the solving of a puzzle that has confounded matheticians since the 17th century, the solution of Fermat`s Last Theorem is the most important mathematical development of the 20th century. A remarkable story of human endeavour and intellectual brilliance over there centuries, ` Fermat`s Lost Theorom` will fascinate both specialist and general readers....
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Author by : Simon Singh
Languange Used : en
Release Date : 1998-05
Publisher by :
ISBN : 1857029224
In 1963 a schoolboy browsing in his local library stumbled across a great mathematical problem: Fermat's Last Theorem, a puzzle that every child can now understand, but which has baffled mathematicians for over 300 years. Aged just ten, Andrew Wiles dreamed he would crack it....
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Author by : Gary Cornell
Languange Used : en
Release Date : 2013-12-01
Publisher by : Springer Science & Business Media
ISBN : 9781461219743
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....
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Author by : Harold M. Edwards
Languange Used : en
Release Date : 2000-01-14
Publisher by : Springer Science & Business Media
ISBN : 0387950028
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 way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the application of Kummers theory to quadratic integers and relates this to Gauss'theory of binary quadratic forms, an interesting and important connection that is not explored in any other book....
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Author by : Paulo Ribenboim
Languange Used : en
Release Date : 2012-12-06
Publisher by : Springer Science & Business Media
ISBN : 9781468493429
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....
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Author by : Stieg Larsson
Languange Used : en
Release Date : 2010
Publisher by : Vintage
ISBN : 9780307476159
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....
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Author by : Ian Stewart
Languange Used : en
Release Date : 2001-12-12
Publisher by : CRC Press
ISBN : 9781439864081
First published in 1979 and written by two distinguished mathematicians with a special gift for exposition, this book is now available in a completely revised third edition. It reflects the exciting developments in number theory during the past two decades that culminated in the proof of Fermat's Last Theorem. Intended as a upper level textbook, it...
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Author by : Paulo Ribenboim
Languange Used : en
Release Date : 2008-01-21
Publisher by : Springer Science & Business Media
ISBN : 9780387216928
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....
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Author by : Arthur C. Clarke
Languange Used : en
Release Date : 2008-12-07
Publisher by : HarperCollins UK
ISBN : 9780007308149
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....