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Academic & Professional Books  Reference  Physical Sciences  Mathematics

Fermat's Last Theorem for Amateurs

By: P Ribenboim
Publisher: Springer-Verlag
Fermat's Last Theorem for Amateurs
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  • Fermat's Last Theorem for Amateurs ISBN: 9780387985084 Hardback Dec 1999 Usually dispatched within 1-2 weeks
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About this book Contents Customer reviews Related titles

About this book

Presents partial results which could be obtained with exclusively elementary methods. The proofs are given in detail, with minimal prerequisites. An original feature are the ten interludes, devoted to important topics of elementary number theory, thus making the reading of this book self-contained. The Epilogue is a serious attempt to render accessible the strategy of the recent proof of Fermat's last theorem, a great mathematical feat.

Contents

The Problem * Special Cases * 4 Interludes * Algebraic Restrictions on Hypothetical Solutions * Germain's Theorem * Interludes 5 and 6 * Arithmetic Restrictions on Hypothetical Solutions and on the Exponent * Interludes 7 and 8 * Reformulations, Consequences, and Criteria * Interludes 9 and 10 * The Local and Modular Fermat Problem * Epilogue * Appendix A: References to Wrong Proofs * Appendix B: General Bibliography * Name Index * Subject Index.

Customer Reviews

By: P Ribenboim
Publisher: Springer-Verlag
Media reviews
From the reviews: MATHEMATICAL REVIEWS "The history of elementary approaches to Fermat is very rich indeed, and Ribenboim has arranged these approaches in a way that makes them accessible to interested readers without extensive mathematical backgrounds!both readable and fairly comprehensive. This book would likely be of great interest to an enthusiastic undergraduate with a basic knowledge of rings and fields. In addition to describing the history of one of the great problems in number theory, the book provides a gentle and well-motivated introduction to some important ideas in modern number theory!any reader who spends a few hours with this book is guaranteed to learn something new and interesting about Fermat's last theorem."
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