Fermat's Last Theorem: Basic Tools (BOK)

Takeshi Saito

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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.

Produktfakta

Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2013 Forfatter Takeshi Saito
Forlag
Turpin DEDS Orphans
ISBN 9780821898482
Antall sider 277 Dimensjoner 17,8cm x 25,4cm x 2,2cm
Vekt 562 gram Leverandør Bertram Trading Ltd
Emner og form Number theory