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OverviewThis 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 DetailsAuthor: Kazuya Kato , Noboshige Kurokawa , Takeshi SaitoPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 240 Weight: 0.305kg ISBN: 9780821813553ISBN 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 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. Table of ContentsReviewsThe 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 InformationKazuya 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. Tab Content 6Author Website:Countries AvailableAll regions |