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Number Theory 1: Fermat’s Dream
 
Kazuya Kato University of Tokyo, Japan
Nobushige Kurokawa Tokyo Institute of Technology, Japan
Takeshi Saito University of Tokyo, Japan
Number Theory 1
Softcover ISBN:  978-0-8218-0863-4
Product Code:  MMONO/186
List Price: $52.00
MAA Member Price: $46.80
AMS Member Price: $41.60
eBook ISBN:  978-1-4704-4600-0
Product Code:  MMONO/186.E
List Price: $49.00
MAA Member Price: $44.10
AMS Member Price: $39.20
Softcover ISBN:  978-0-8218-0863-4
eBook: ISBN:  978-1-4704-4600-0
Product Code:  MMONO/186.B
List Price: $101.00 $76.50
MAA Member Price: $90.90 $68.85
AMS Member Price: $80.80 $61.20
Number Theory 1
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Number Theory 1: Fermat’s Dream
Kazuya Kato University of Tokyo, Japan
Nobushige Kurokawa Tokyo Institute of Technology, Japan
Takeshi Saito University of Tokyo, Japan
Softcover ISBN:  978-0-8218-0863-4
Product Code:  MMONO/186
List Price: $52.00
MAA Member Price: $46.80
AMS Member Price: $41.60
eBook ISBN:  978-1-4704-4600-0
Product Code:  MMONO/186.E
List Price: $49.00
MAA Member Price: $44.10
AMS Member Price: $39.20
Softcover ISBN:  978-0-8218-0863-4
eBook ISBN:  978-1-4704-4600-0
Product Code:  MMONO/186.B
List Price: $101.00 $76.50
MAA Member Price: $90.90 $68.85
AMS Member Price: $80.80 $61.20
  • Book Details
     
     
    Translations of Mathematical Monographs
    Iwanami Series in Modern Mathematics
    Volume: 1862000; 154 pp
    MSC: Primary 11; 14;

    This is the English translation of the original Japanese book. In this volume, “Fermat's Dream”, core theories in modern number theory are introduced. Developments are given in elliptic curves, \(p\)-adic numbers, the \(\zeta\)-function, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series.

    Readership

    Graduate students and research mathematicians interested in number theory.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Rational points on elliptic curves
    • Conics and $p$-adic numbers
    • $\zeta $
    • Algebraic number theory
    • Rudiments on Dedekind domains
  • Additional Material
     
     
  • Reviews
     
     
    • This book can be recommended to any scholar or student having the required background; in particular, it would make excellent supplementary reading for students having taken a first course in number theory. The text would also constitute a good basis for lectures to an audience of nonspecialists.

      Mathematical Reviews
  • 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: 1862000; 154 pp
MSC: Primary 11; 14;

This is the English translation of the original Japanese book. In this volume, “Fermat's Dream”, core theories in modern number theory are introduced. Developments are given in elliptic curves, \(p\)-adic numbers, the \(\zeta\)-function, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series.

Readership

Graduate students and research mathematicians interested in number theory.

  • Chapters
  • Introduction
  • Rational points on elliptic curves
  • Conics and $p$-adic numbers
  • $\zeta $
  • Algebraic number theory
  • Rudiments on Dedekind domains
  • This book can be recommended to any scholar or student having the required background; in particular, it would make excellent supplementary reading for students having taken a first course in number theory. The text would also constitute a good basis for lectures to an audience of nonspecialists.

    Mathematical Reviews
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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