| Class Field Theory Edition. 2nd Pr Edition Contributor(s): Childress, Nancy (Author) |
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ISBN: 0387724893 ISBN-13: 9780387724898 Publisher: Springer OUR PRICE: $75.99 Product Type: Paperback - Other Formats Published: November 2008 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Mathematics | Algebra - General - Mathematics | Algebra - Abstract |
| Dewey: 512.7 |
| LCCN: 2008935390 |
| Series: Universitext |
| Physical Information: 0.46" H x 6.24" W x 9.29" (0.76 lbs) 226 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |