Number Theory 2: Introduction to Class Field Theory

Author:   Kazuya Kato ,  Noboshige Kurokawa ,  Takeshi Saito
Publisher:   American Mathematical Society
Volume:   No. 240
ISBN:  

9780821813553


Pages:   240
Publication Date:   30 October 2011
Format:   Paperback
Availability:   In Print   Availability explained
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Number Theory 2: Introduction to Class Field Theory


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Overview

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.

Full Product Details

Author:   Kazuya Kato ,  Noboshige Kurokawa ,  Takeshi Saito
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 240
Weight:   0.305kg
ISBN:  

9780821813553


ISBN 10:   0821813552
Pages:   240
Publication Date:   30 October 2011
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Reviews

The authors' presentation is very reader-friendly. ...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


"The authors' presentation is very reader-friendly. ...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"


Author Information

Kazuya Kato is at the University of Chicago, IL. Nobushige Kurokawa is at the Tokyo Institute of Technology, Japan. Takeshi Saito is at the University of Tokyo, Japan.

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