Number Theory 1

Introduces 'Fermat's Dream', core theories in modern number theory. This book gives developments in elliptic curves, $p$-adic numbers, the $/zeta$-function, and the number fields.

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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.