Number Theory 2: Introduction to Class Field Theory

Number Theory 2: Introduction to Class Field Theory (Translations of Mathematical Monographs)

This book, the second of three related volumes on number theory, is the English translation of the original Japanese book. Here, the idea of class field theory, a highlight in algebraic number theory, is first described with many concrete examples. A detailed account of proofs is thoroughly exposited in the final chapter. The authors also explain the local-global method in number theory, including the use of ideles and adeles. Basic properties of zeta and $L$-functions are established and used to prove the prime number theorem and the Dirichlet theorem on prime numbers in arithmetic progressions. With this book, the reader can enjoy the beauty of numbers and obtain fundamental knowledge of modern number theory. The translation of the first volume was published as Number Theory 1: Fermat's Dream, Translations of Mathematical Monographs (Iwanami Series in Modern Mathematics), vol. 186, American Mathematical Society, 2000.

Country	USA
Author	K. Kato
Binding	Paperback
Brand	Brand: American Mathematical Society
EAN	9780821813553
Feature	Used Book in Good Condition
ISBN	0821813552
IsEligibleForTradeIn	1
Label	American Mathematical Society
Manufacturer	American Mathematical Society
NumberOfPages	240
PublicationDate	2011-09-22
Publisher	American Mathematical Society
Studio	American Mathematical Society
ReleaseDate	0000-00-00

Number Theory 2: Introduction to Class Field Theory (Translations of Mathematical Monographs)