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.
General
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