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Fermat’s Last Theorem (2-Volume Set)
 
Takeshi Saito University of Tokyo, Japan
Fermat's Last Theorem (2-Volume Set)
Softcover ISBN:  978-1-4704-2216-5
Product Code:  MMONO/243/245
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Fermat's Last Theorem (2-Volume Set)
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Fermat’s Last Theorem (2-Volume Set)
Takeshi Saito University of Tokyo, Japan
Softcover ISBN:  978-1-4704-2216-5
Product Code:  MMONO/243/245
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
  • Book Details
     
     
    Translations of Mathematical Monographs
    Iwanami Series in Modern Mathematics
    Volume: 2432014; 434 pp
    MSC: Primary 11;

    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.

    Readership

    Graduate students and research mathematicians interested in number theory and arithmetic geometry.

    This set contains the following item(s):
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Iwanami Series in Modern Mathematics
Volume: 2432014; 434 pp
MSC: Primary 11;

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.

Readership

Graduate students and research mathematicians interested in number theory and arithmetic geometry.

This set contains the following item(s):
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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