The Last Theorem

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Author: Arthur C. Clarke
Publisher: Del Rey
ISBN: 0345509684
Size: 40.85 MB
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The Last Theorem by Arthur C. Clarke


Original Title: The Last Theorem

Two of science fiction’s most renowned writers join forces for a storytelling sensation. The historic collaboration between Frederik Pohl and his fellow founding father of the genre, Arthur C. Clarke, is both a momentous literary event and a fittingly grand farewell from the late, great visionary author of 2001: A Space Odyssey. The Last Theorem is a story of one man’s mathematical obsession, and a celebration of the human spirit and the scientific method. It is also a gripping intellectual thriller in which humanity, facing extermination from all-but-omnipotent aliens, the Grand Galactics, must overcome differences of politics and religion and come together . . . or perish. In 1637, the French mathematician Pierre de Fermat scrawled a note in the margin of a book about an enigmatic theorem: “I have discovered a truly marvelous proof of this proposition which this margin is too narrow to contain.” He also neglected to record his proof elsewhere. Thus began a search for the Holy Grail of mathematics–a search that didn’t end until 1994, when Andrew Wiles published a 150-page proof. But the proof was burdensome, overlong, and utilized mathematical techniques undreamed of in Fermat’s time, and so it left many critics unsatisfied–including young Ranjit Subramanian, a Sri Lankan with a special gift for mathematics and a passion for the famous “Last Theorem.” When Ranjit writes a three-page proof of the theorem that relies exclusively on knowledge available to Fermat, his achievement is hailed as a work of genius, bringing him fame and fortune. But it also brings him to the attention of the National Security Agency and a shadowy United Nations outfit called Pax per Fidem, or Peace Through Transparency, whose secretive workings belie its name. Suddenly Ranjit–together with his wife, Myra de Soyza, an expert in artificial intelligence, and their burgeoning family–finds himself swept up in world-shaking events, his genius for abstract mathematical thought put to uses that are both concrete and potentially deadly. Meanwhile, unbeknownst to anyone on Earth, an alien fleet is approaching the planet at a significant percentage of the speed of light. Their mission: to exterminate the dangerous species of primates known as homo sapiens. From the Hardcover edition.

Fermat S Last Theorem

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Author: Harold M. Edwards
Publisher: Springer Science & Business Media
ISBN: 9780387950020
Size: 43.58 MB
Format: PDF, ePub, Mobi
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Fermat S Last Theorem by Harold M. Edwards


Original Title: Fermat S Last Theorem

This introduction to algebraic number theory via "Fermat's Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummer theory of "ideal" factorization. In treats elementary topics, new concepts and techniques; and it details the application of Kummer theory to quadratic integers, relating it to Gauss theory of binary quadratic forms, an interesting connection not explored in any other book.

Fermat S Last Theorem For Amateurs

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Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 9780387985084
Size: 63.39 MB
Format: PDF, Docs
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Fermat S Last Theorem For Amateurs by Paulo Ribenboim


Original Title: Fermat S Last Theorem For Amateurs

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.

Notes On Fermat S Last Theorem

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Author: Alfred J. van der Poorten
Publisher: Wiley
ISBN: 9780471079408
Size: 44.56 MB
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Notes On Fermat S Last Theorem by Alfred J. van der Poorten


Original Title: Notes On Fermat S Last Theorem

Requires one year of university mathematics and some interest in formulas for basic understanding of the concepts presented Written in an easy-to-read, humorous style Includes examples, anecdotes, and explanations of some of the lesser-known mathematics underlying Wiles's proof Demystifies mathematical research and offers an intuitive approach to the subject Cites numerous references New findings are updated from the previous edition

Modular Forms And Fermat S Last Theorem

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Author: Gary Cornell
Publisher: Springer Science & Business Media
ISBN: 1461219744
Size: 51.24 MB
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Modular Forms And Fermat S Last Theorem by Gary Cornell


Original Title: Modular Forms And Fermat S Last Theorem

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.

Fermat S Last Theorem Proof Universal Cycle Theory Fibonacci Series

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Author: Rosario Tondi
Publisher: Lulu.com
ISBN: 1326958364
Size: 73.35 MB
Format: PDF
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Fermat S Last Theorem Proof Universal Cycle Theory Fibonacci Series by Rosario Tondi


Original Title: Fermat S Last Theorem Proof Universal Cycle Theory Fibonacci Series

On the book you will find a direct demonstration and complete of the Last Theorem of Fermat, Original). It also exposes a theory of the natural cycle of events, even applied to the Stock Exchange. You will find a discussion of the Fibonacci series and not, with original method for the determination of the element n. Also there are some small programs written in ""C,"" for tests on Primes, with Fibonacci series. Finally you will find a simple but interesting program for Lotto and Superenalotto, very fast, because it is based on an original Filtering Algorithm, of the combinations.

Fermat S Last Theorem A Perfect Proof

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Author: Wardell Lindsay
Publisher: Lulu.com
ISBN: 1411642341
Size: 79.50 MB
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Fermat S Last Theorem A Perfect Proof by Wardell Lindsay


Original Title: Fermat S Last Theorem A Perfect Proof

Fermat's last Theorem has been a challenge to mathematicians for over 300 years. A perfect Proof of this Theorem is presented here. The key to understanding this proof involves understanding Geometry and Numbers. If you really understand these, you will see the beauty in this simple Perfect Proof.

Algebraic Number Theory And Fermat S Last Theorem Fourth Edition

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Author: Ian Stewart
Publisher: CRC Press
ISBN: 1498738400
Size: 26.71 MB
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Algebraic Number Theory And Fermat S Last Theorem Fourth Edition by Ian Stewart


Original Title: Algebraic Number Theory And Fermat S Last Theorem Fourth Edition

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 general study of the theory of algebraic numbers from a relatively concrete point of view. Students will see how Wiles’s proof of Fermat’s Last Theorem opened many new areas for future work. New to the Fourth Edition Provides up-to-date information on unique prime factorization for real quadratic number fields, especially Harper’s proof that Z(√14) is Euclidean Presents an important new result: Mihăilescu’s proof of the Catalan conjecture of 1844 Revises and expands one chapter into two, covering classical ideas about modular functions and highlighting the new ideas of Frey, Wiles, and others that led to the long-sought proof of Fermat’s Last Theorem Improves and updates the index, figures, bibliography, further reading list, and historical remarks Written by preeminent mathematicians Ian Stewart and David Tall, this text continues to teach students how to extend properties of natural numbers to more general number structures, including algebraic number fields and their rings of algebraic integers. It also explains how basic notions from the theory of algebraic numbers can be used to solve problems in number theory.

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