Number Theory 1: Fermat's Dream (Translations of Mathematical Monographs) (Vol 1) - Kazuya Kato, Nobushige Kurokawa, Takeshi Saito, Saito¯, Takeshi (2000) |
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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. |
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Includes index. |