
Preface  Preview Material  Table of Contents  Supplementary Material 
Translations of Mathematical Monographs Iwanami Series in Modern Mathematics 2011; 240 pp; softcover Volume: 240 ISBN10: 0821813552 ISBN13: 9780821813553 List Price: US$49 Member Price: US$39.20 Order Code: MMONO/240 See also: Number Theory 1: Fermat's Dream  Kazuya Kato, Nobushige Kurokawa and Takeshi Saito Number Theory 3: Iwasawa Theory and Modular Forms  Nobushige Kurokawa, Masato Kurihara and Takeshi Saito Elliptic Curves, Modular Forms, and Their Lfunctions  Alvaro LozanoRobledo Class Field Theory  Emil Artin and John Tate  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 localglobal 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. Request an examination or desk copy. Readership Graduate students and research mathematicians interested in number theory. Reviews "The authors' presentation is very readerfriendly. ...Their style of writing is lively and inspiring. ...The book can warmly be recommended to anyone interested in reading a modern exposition of class field theory."  Mathematical Reviews 


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