Fermat's Last Theorem for Amateurs
(Sprache: Englisch)
This book is intended for amateurs, students and teachers. The author 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...
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This book is intended for amateurs, students and teachers. The author 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. Their interest goes beyond Fermat's theorem. The Epilogue is a serious attempt to render accessible the strategy of the recent proof of Fermat's last theorem, a great mathematical feat.
Klappentext zu „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.
Inhaltsverzeichnis zu „Fermat's Last Theorem for Amateurs “
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.
Autoren-Porträt von Paulo Ribenboim
Paulo Ribenboim ist emeritierter Professor der kanadischen Queen's University, Fellow der Royal Society of Canada und Träger des George Pólya-Preises der Mathematical Association of America. Er ist Autor von 13 Büchern und über 150 Forschungsartikeln.
Bibliographische Angaben
- Autor: Paulo Ribenboim
- 2000, 1st ed. 1999. Corr. 2nd printing 2000, XIII, 407 Seiten, Masse: 16,1 x 24 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 0387985085
- ISBN-13: 9780387985084
- Erscheinungsdatum: 10.03.2000
Sprache:
Englisch
Rezension zu „Fermat's Last Theorem for Amateurs “
From the reviews:
Pressezitat
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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