Number Theory 1: Fermat's Dream

Number Theory 1: Fermat's Dream

Author
Kazuya Kato, Nobushige Kurokawa, Takeshi Saito
Publisher
American Mathematical Society
Language
English
Edition
1
Year
2000
Page
154
ISBN
082180863X,9780821808634
File Type
pdf
File Size
18.0 MiB

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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