Overview

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.

Full Product Details

Author:   Kazuya Kato ,  Nobushige Kurokawa ,  Takeshi Saito
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   186
Dimensions:   Width: 14.00cm , Height: 1.00cm , Length: 22.20cm
Weight:   0.215kg
ISBN:  

9780821808634

ISBN 10:   082180863
Pages:   154
Publication Date:   30 November 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of 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.

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