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書評掲載

Class Field Theory 1st ed.. 2nd Printing. 2008(Universitext) P 300 p. 30 illus. 08

Childress, Nancy  著

在庫状況 海外在庫有り  お届け予定日 1ヶ月 
価格 特価  \13,734(税込)         
発行年月 2008年11月
出版社/提供元
Springer-Verlag New York
出版国 アメリカ合衆国
言語 英語
媒体 冊子
装丁 paper
ページ数/巻数 X, 226 p.
ジャンル 洋書/理工学/数学/代数学
ISBN 9780387724898
商品コード 0200779922
本の性格 テキスト
新刊案内掲載月 2007年10月
書評掲載誌 Choice
商品URLhttps://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0200779922

内容

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.

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