Fermat's Last Theorem (2-Volume Set): Basic Tools the Proof (Translations of Mathematical Monographs) - Tapa blanda

Saito, Takeshi

 
9781470422165: Fermat's Last Theorem (2-Volume Set): Basic Tools the Proof (Translations of Mathematical Monographs)

Sinopsis

This 2-volume set (Fermat's Last Theorem: Basic Tools and Fermat's Last Theorem: The Proof) presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the deepest achievements in the history of mathematics.

Crucial arguments, including the so-called 3-5 trick, R=T theorem, etc., are explained in depth. The proof relies on basic background materials in number theory and arithmetic geometry, such as elliptic curves, modular forms, Galois representations, deformation rings, modular curves over the integer rings, Galois cohomology, etc. The first four topics are crucial for the proof of Fermat's Last Theorem; they are also very important as tools in studying various other problems in modern algebraic number theory. In order to facilitate understanding the intricate proof, an outline of the whole argument is described in the first preliminary chapter of the first volume.

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Acerca del autor

Takeshi Saito, University of Tokyo, Japan.

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Otras ediciones populares con el mismo título

9780821898482: Fermat's Last Theorem: Basic Tools (Translations of Mathematical Monographs)

Edición Destacada

ISBN 10:  0821898485 ISBN 13:  9780821898482
Editorial: American Mathematical Society, 2013
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