| 书目名称 | Class Field Theory | | 编辑 | Nancy Childress | | 视频video | http://file.papertrans.cn/227/226987/226987.mp4 | | 概述 | Traditional approach, but cleaner and more streamlined than most others.Accessible introduction to class field theory.Lots of challenging exercises | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | .Class field theory, the study of abelian extensions of algebraic number fields, is one of the largest branches of algebraic number theory. It brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. Some of its consequences (e.g., the Chebotarev density theorem) apply even to nonabelian extensions.. .This book is an accessible introduction to class field theory. It takes a traditional approach in that it attempts to present the material using the original techniques of proof (global to local), but in a fashion which is cleaner and more streamlined than most other books on this topic. It could be used for a graduate course on algebraic number theory, as well as for students who are interested in self-study. The book has been class-tested, and the author has included exercises throughout the text.. | | 出版日期 | Textbook 2009 | | 关键词 | algebra; algebraic number field; algebraic number theory; field; number theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-72490-4 | | isbn_softcover | 978-0-387-72489-8 | | isbn_ebook | 978-0-387-72490-4Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer Science+Business Media, LLC, part of Springer Nature 2009 |
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