Fermat S Last Theorem For Amateurs

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Fermat S Last Theorem For Amateurs

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Author : Paulo Ribenboim
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-21

Fermat S Last Theorem For Amateurs written by Paulo Ribenboim and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-21 with Mathematics categories.

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.

13 Lectures On Fermat S Last Theorem

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Author : Paulo Ribenboim
language : en
Publisher: Springer Science & Business Media
Release Date : 1979-12-18

13 Lectures On Fermat S Last Theorem written by Paulo Ribenboim and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-12-18 with Computers categories.

Fermat's problem, also ealled Fermat's last theorem, has attraeted the attention of mathematieians far more than three eenturies. Many clever methods have been devised to attaek the problem, and many beautiful theories have been ereated with the aim of proving the theorem. Yet, despite all the attempts, the question remains unanswered. The topie is presented in the form of leetures, where I survey the main lines of work on the problem. In the first two leetures, there is a very brief deseription of the early history , as well as a seleetion of a few of the more representative reeent results. In the leetures whieh follow, I examine in sue­ eession the main theories eonneeted with the problem. The last two lee tu res are about analogues to Fermat's theorem. Some of these leetures were aetually given, in a shorter version, at the Institut Henri Poineare, in Paris, as well as at Queen's University, in 1977. I endeavoured to produee a text, readable by mathematieians in general, and not only by speeialists in number theory. However, due to a limitation in size, I am aware that eertain points will appear sketehy. Another book on Fermat's theorem, now in preparation, will eontain a eonsiderable amount of the teehnieal developments omitted here. It will serve those who wish to learn these matters in depth and, I hope, it will clarify and eomplement the present volume.

Fermat S Last Theorem

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Author : Simon Singh
language : en
Publisher:
Release Date : 1997

Fermat S Last Theorem written by Simon Singh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.

Modular Forms And Fermat S Last Theorem

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Author : Gary Cornell
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Modular Forms And Fermat S Last Theorem written by Gary Cornell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.

This volume contains expanded versions of lectures given at an instructional conference on number theory and arithmetic geometry held August 9 through 18, 1995 at Boston University. 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's Last Theorem is true. 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, and finite group schemes. Representation theory, which lies at the core of Wiles' proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serre's conjectures, Galois deformations, universal deformation rings, Hecke algebras, complete intersections and more, as the reader is led step-by-step through Wiles' proof. In recognition of the historical significance of Fermat's Last Theorem, the volume concludes by looking both forward and backward in time, 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 volume to be an indispensable resource for mastering the epoch-making proof of Fermat's Last Theorem.

Number Theory Related To Fermat S Last Theorem

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Author : Koblitz
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21

Number Theory Related To Fermat S Last Theorem written by Koblitz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Social Science categories.

Fermat S Last Theorem

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Author : Harold M. Edwards
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-02-23

Fermat S Last Theorem written by Harold M. Edwards and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-02-23 with Mathematics categories.

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.

Fermat S Last Theorem

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Author : Amir D. Aczel
language : en
Publisher:
Release Date : 1997

Fermat S Last Theorem written by Amir D. Aczel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Fermat's last theorem categories.

Around 1637, the French mathematician Pierre de Fermat wrote that he had found a way to prove a seemingly simple statement: while many square numbers can be broken down into the sum of two other squares - for example, 25 (five squared) equals nine (three squared) plus 16 (four squared) - the same can never be done for cubes or any higher powers. This book provides an account of how Fermat's solution was lost, the consequent struggle by mathematicians to solve this scientific mystery and how the solution was finally found in the 1990s.

Algebraic Number Theory And Fermat S Last Theorem

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Author : Ian Stewart
language : en
Publisher: CRC Press
Release Date : 2001-12-12

Algebraic Number Theory And Fermat S Last Theorem written by Ian Stewart and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-12 with Mathematics categories.

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

The Simpsons And Their Mathematical Secrets

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Author : Simon Singh
language : en
Publisher: A&C Black
Release Date : 2013-01-01

The Simpsons And Their Mathematical Secrets written by Simon Singh and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Mathematics categories.

From bestselling author of Fermat's Last Theorem, a must-have for number lovers and Simpsons fans

The Girl Who Played With Fire

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Author : Stieg Larsson
language : en
Publisher: Vintage
Release Date : 2010

The Girl Who Played With Fire written by Stieg Larsson and has been published by Vintage this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Blomkvist, Mikael (Fictitious character) categories.

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.