Fermat’s Last Theorem for Amateurs
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Beschreibung
Preliminary Booksellers Text: Do Not Use. In 1995, Andrew Wiles published two papers containing a proof of Fermat's Last Theorem. BRAVO FOR THIS GREAT MATHEMATICAL FEAT! Nevertheless, one shouldn't dismiss the earlier attempts to solve the problems. From giants in mathematics to clever amateurs, all did their best. In this book, aimed at amateurs, teachers, and mathematicians curious about the unfolding of the subject, the author restricts his attention exclusively to elementary methods. There are other books about Wiles' proof but the reader without an extended solid background may prefer to stay with this book.
Ribenboim's presentation of attempts to solve Fermat's Last Theorem sheds new light on the possibilities and power of the language of mathematics This book is intended for amateurs. All results presented were obtained with exclusively elementary methods; proofs are given in detail with minimal prerequisites Original features are the ten interludes, devoted to important topics of elementary number theory, thus making this book self-contained The Epilogue is a serious attempt to render accessible the strategy of Wiles recent proof of Fermat's Last Theorem, a great mathematical feat
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Paulo Ribenboim
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Fermat Fermat's Last Theorem algebra arithmetic elliptic curve modular form number theory
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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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