Invitation To The Mathematics Of Fermat-wiles

Hardcover | October 3, 2001

byYves HellegouarchEditorYves Hellegouarch

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Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it places these concepts in their historical context.This book can be used in introduction to mathematics theories courses and in special topics courses on Fermat's last theorem. It contains themes suitable for development by students as an introduction to personal research as well as numerous exercises and problems. However, the book will also appeal to the inquiring and mathematically informed reader intrigued by the unraveling of this fascinating puzzle. Key Features* Rigorously presents the concepts required to understand Wiles' proof, assuming only modest undergraduate level math * Sets the math in its historical context* Contains several themes that could be further developed by student research and numerous exercises and problems* Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem* Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem.

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From the Publisher

Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it places these concepts in their historical context.This book can be used in introduction to mathematics theories courses and in special top...

From the Jacket

"To decompose a cube into two other cubes, a fourth power, and generally an arbitrary power into two of the same powers above the second power, is an impossible thing and I have certainly found its admirable proof. This narrow margin would not contain it."Scrawled as an aside in the margin of Fermat's copy of Diophantus' Arithmetica li...

Yves Hellegouarch studied at the École Normale Supérieure in Paris. He has been teaching at the University of Caen since 1970. In 1972 he wrote a thesis, "Elliptic Curves and Fermat's Equation."
Format:HardcoverDimensions:400 pages, 9.63 × 6.75 × 0.98 inPublished:October 3, 2001Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0123392519

ISBN - 13:9780123392510

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"This text provides a sweeping introduction to all those mathematical topics, concepts, methods, techniques, and classical results that are necessary to understand Andrew Wiles's theory culminating in the first complete proof of Fermat's last theorem. The text is accessible, without compromising the rigor of its mathematical exposition, to reasoned undergraduate students, at least so for the most part it can serve as the basis for various teaching courses. It sets the whole discussion in a fascinating, generally educating historical context, thereby travelling - metaphorically speaking - through the centuries of mathematical history. No doubt, it is a true blessing that the English translation of this unique book is now at hand for a much wider public."Werner Kleinert (Berlin) in Zentralblatt MATH 1036