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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."--Jacket.
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Includes bibliographical references and index.
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- Created January 21, 2010
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November 29, 2023 | Edited by MARC Bot | import existing book |
May 4, 2023 | Edited by ImportBot | import existing book |
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January 21, 2010 | Created by ImportBot | Imported from Library of Congress MARC record |