From Fermat to Minkowski, W.K. B?hler; W. Scharlau; G. Cornell; H. Opolka
Автор: Yves Hellegouarch Название: Invitation to the Mathematics of Fermat-Wiles, ISBN: 0123392519 ISBN-13(EAN): 9780123392510 Издательство: Elsevier Science Рейтинг: Цена: 10162.00 р. Наличие на складе: Поставка под заказ.
Описание: Presents diverse concepts required to comprehend Fermat-Wiles` extraordinary proof. Placing these concepts in their historical context, this book contains several themes that could be developed by student research and numerous exercises and problems.
Автор: Harold M. Edwards Название: Fermat`s Last Theorem ISBN: 0387902309 ISBN-13(EAN): 9780387902302 Издательство: Springer Рейтинг: Цена: 11173.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Work on this book was supported in part by the James M. Vaughn, Jr., Vaughn Foundation Fund.
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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