Softcover ISBN:  9780821808634 
Product Code:  MMONO/186 
List Price:  $37.00 
MAA Member Price:  $33.30 
AMS Member Price:  $29.60 
Electronic ISBN:  9781470446000 
Product Code:  MMONO/186.E 
List Price:  $34.00 
MAA Member Price:  $30.60 
AMS Member Price:  $27.20 

Book DetailsTranslations of Mathematical MonographsIwanami Series in Modern MathematicsVolume: 186; 2000; 154 ppMSC: 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.
ReadershipGraduate 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


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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.
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