Class Field Theory - Brossura

Childress, Nancy

Brossura

ISBN 10: 0387724893 ISBN 13: 9780387724898

Casa editrice: Springer, 2008

Riassunto

This book provides an accessible introduction to class field theory. It takes a traditional approach, but in a fashion which is cleaner and more streamlined than most other books on this topic. The book has been class-tested, and the author has included exercises.

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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.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0387724893
• ISBN 13: 9780387724898
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 240
• Contatto del produttore: non disponibile
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