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cover

Fermat’s Last Theorem Basic Tools

Takeshi Saito

₹ 1475

View details

Imprint

Universities Press

Year of Publishing

2017

Number of pages

216

ISBN

9781470438401

Format

Paperback

Language

English

Dimensions

158 x 240 mm

Series

American Mathematical Society

Territorial Rights

India,Nepal,Bhutan,Bangladesh,Sri Lanka,Maldives,Pakistan

  • the Book
  • the Author(s)

This book, together with the companion volume, Fermat'sLast 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 summarized in later chapters.

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Takeshi Saito: University of Tokyo, Tokyo, Japan

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