Fermat's dream
著者
書誌事項
Fermat's dream
(Translations of mathematical monographs, v. 186 . Number theory ; 1)(Iwanami series in modern mathematics)
American Mathematical Society, c2000
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Sūron
数論
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注記
Originally published: Tokyo: Iwanami Shoten, 1996
Includes index
内容説明・目次
内容説明
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.
目次
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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