Class Field Theory

Childress, Nancy

ISBN 10: 0387724893 / ISBN 13: 9780387724898

Published by Springer, New York, NY, 2008

About this Item

***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Trade paperback (US). Glued binding. 226 p. Contains: Illustrations, black & white, Tables, black & white, Figures. Universitext. Audience: General/trade.

Seller Inventory # K3280000871

Bibliographic Details

• Title: Class Field Theory
• Publisher: Springer, New York, NY
• Publication Date: 2008
• Language: English
• ISBN 10: 0387724893
• ISBN 13: 9780387724898
• Binding: Trade paperback
• Edition: First edition. INTERNATIONAL EDITION
• Condition: New in new dust jacket.

About this title

Synopsis

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.

From the Back Cover

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 presents the global material first, using some of the original techniques of proof, but in a fashion that 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.

Professor Nancy Childress is a member of the Mathematics Faculty at Arizona State University.