Description
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.
About the Author
Takeshi Saito, University of Tokyo, Japan.
Reviews
The book ... is very clear and thorough, and may be recommended to anyone interested in understanding one of the deepest results of the twentieth century in mathematics." - Zentralblatt fur Mathematik
Book Information
ISBN 9781470422165
Author Takeshi Saito
Format Paperback
Page Count 434
Imprint American Mathematical Society
Publisher American Mathematical Society
Weight(grams) 500g
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.
About the Author
Takeshi Saito, University of Tokyo, Japan.
Reviews
The book ... is very clear and thorough, and may be recommended to anyone interested in understanding one of the deepest results of the twentieth century in mathematics." - Zentralblatt fur Mathematik
Book Information
ISBN 9781470422165
Author Takeshi Saito
Format Paperback
Page Count 434
Imprint American Mathematical Society
Publisher American Mathematical Society
Weight(grams) 500g
