Number Theory 1 Fermat's Dream

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.Kato, Kazuya is the author of 'Number Theory 1 Fermat's Dream' with ISBN 9780821808634 and ISBN 082180863X.