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.
General
Imprint: |
American Mathematical Society
|
Country of origin: |
United States |
Series: |
Translations of Mathematical Monographs |
Release date: |
March 2015 |
Authors: |
Takeshi Saito
|
Dimensions: |
254 x 178 x 26mm (L x W x T) |
Format: |
Paperback
|
Pages: |
434 |
ISBN-13: |
978-1-4704-2216-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
1-4704-2216-6 |
Barcode: |
9781470422165 |
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