**Translations of Mathematical Monographs
Iwanami Series in Modern Mathematics**

2000; 154 pp; Softcover

MSC: Primary 11; 14;

**Print ISBN: 978-0-8218-0863-4**

Product Code: MMONO/186

Product Code: MMONO/186

List Price: $34.00

Individual Member Price: $27.20

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# Number Theory 1: Fermat’s Dream

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*Kazuya Kato; Nobushige Kurokawa; Takeshi Saito*

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.

#### Table of Contents

# Table of Contents

## Number Theory 1: Fermat's Dream

#### Readership

Graduate students and research mathematicians interested in number theory.

#### 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