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.
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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.
"About this title" may belong to another edition of this title.
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International Edition
Class Field Theory
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Springer, New York, NY, 2008
ISBN 10: 0387724893
ISBN 13: 9780387724898
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Class Field Theory
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Secaucus, New Jersey, U.S.A.: Springer Verlag, 2008
ISBN 10: 0387724893
ISBN 13: 9780387724898
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Class Field Theory
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Class Field Theory (Universitext).
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Class Field Theory (Universitext)
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Class Field Theory
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SPRINGER NATURE Nov 2008, 2008
ISBN 10: 0387724893
ISBN 13: 9780387724898
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Class field theory brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. This book provides 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, 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 lots of challenging exercises throughout the text. 226 pp. Englisch. Seller Inventory # 9780387724898
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Class Field Theory
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Condition: New. pp. 240. Seller Inventory # 26440787