Items related to Class Field Theory (Universitext)
Synopsis
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.
"synopsis" may belong to another edition of this title.
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.
Review
From the reviews:
"This book has grown out of lectures on the subject by the author. ... it must have been fun for both the author presenting these courses on class field theory and the students taking them and eager to learn the subject. ... list of contents may give a good impression of how class field theory is developed in this book. ... each chapter is commenced by a short introduction describing what is going on next. I enjoyed seeing explicit examples and nice applications ... ." (Jürgen Ritter, Mathematical Reviews, Issue 2009 i)
"Class field theory studies abelian extensions of number fields and their completions. ... The clarity of the exposition and the many exercises ranging from routine to quite challenging problems make the book perfect for a first introduction to class field theory." (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1165, 2009)
“In a fast ride, running half the length of many competing volumes, Childress (Arizona State) employs a balanced mix of standard tools for a remarkably honed introduction ... . Good to read alongside fleshier accounts; probably more accessible ... . Summing Up: Recommended. Upper-division undergraduates through researchers/faculty.” (D. V. Feldman, Choice, Vol. 47 (3), November, 2009)
“This is a first introduction to class field theory. ... The author succeeds in making the material accessible by proceeding at a moderate pace. This relatively slim book is a good choice for anyone who wants to get an idea of what class field theory is about before tackling a more comprehensive textbook or monograph.” (Ch. Baxa, Monatshefte für Mathematik, Vol. 164 (3), November, 2011)
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2008
- ISBN 10 0387724893
- ISBN 13 9780387724898
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages226
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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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Trade paperback. Condition: New in new dust jacket. First edition. INTERNATIONAL EDITION. ***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
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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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Soft cover. Condition: New. Dust Jacket Condition: New. International Edition. **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 go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. Seller Inventory # ABE-13495990742
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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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Class Field Theory
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ISBN 10: 0387724893
ISBN 13: 9780387724898
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Class Field Theory
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