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Fermat's Last Theorem: Basic Tools (Translations of Mathematical Monographs) - Tapa blanda

Saito, Takeshi

 
9780821898482: Fermat's Last Theorem: Basic Tools (Translations of Mathematical Monographs)
Tapa blanda
ISBN 10: 0821898485 ISBN 13: 9780821898482
Editorial: American Mathematical Society, 2013

Sinopsis

This book, together with the companion volume, 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. The remaining topics will be treated in the second book to be published in the same series in 2014. In order to facilitate understanding the intricate proof, an outline of the whole argument is described in the first preliminary chapter, and more details are summarised in later chapters.

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Acerca del autor

Takeshi Saito, University of Tokyo, Japan

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Editorial
American Mathematical Society
Año de publicación
2013
Idioma
Inglés
ISBN 10 
0821898485
ISBN 13 
9780821898482
Encuadernación
Tapa blanda
Número de páginas
200
Contacto del fabricante
no disponible
Persona responsable
no disponible