黒川信重・斎藤毅共著 『岩波講座現代数学の基礎 18 数論 1 Fermatの夢』 （英訳） Number Theory 1 : Fermat's Dream (Translations of Mathematical Monographs)

Kato, Kazuya/ Kurokawa, Nobushige/ Saito, Takeshi

American Mathematical Society（1999/11発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 154 p.
• 言語 ENG
• 商品コード 9780821808634
• DDC分類 512.74

基本説明

岩波書店、1996年10月。
English translation of the original Japanese book. In this volume, "Fermat's Dream", core theories in modern number theory are introduced.

Full Description

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.

Contents

Introduction Rational points on elliptic curves Conics and $p$-adic numbers $\zeta$ Algebraic number theory Rudiments on Dedekind domains Answers to questions Answers to exercises Index.