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Item Details
| Title:
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ALGEBRAIC NUMBER THEORY
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| By: |
A. Frohlich, M. J. Taylor |
| Format: |
Electronic book text |
| List price:
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£360.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1139172166 |
| ISBN 13: |
9781139172165 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
5 June, 2012 |
| Series: |
Cambridge Studies in Advanced Mathematics 27 |
| Description: |
A graduate text providing a brisk, thorough treatment of the foundations of algebraic number theory. |
| Synopsis: |
This book originates from graduate courses given in Cambridge and London. It provides a brisk, thorough treatment of the foundations of algebraic number theory, and builds on that to introduce more advanced ideas. Throughout, the authors emphasise the systematic development of techniques for the explicit calculation of the basic invariants, such as rings of integers, class groups, and units. Moreover they combine, at each stage of development, theory with explicit computations and applications, and provide motivation in terms of classical number-theoretic problems. A number of special topics are included that can be treated at this level but can usually only be found in research monographs or original papers, for instance: module theory of Dedekind domains; tame and wild ramifications; Gauss series and Gauss periods; binary quadratic forms; and Brauer relations. This is the only textbook at this level which combines clean, modern algebraic techniques together with a substantial arithmetic content. It will be indispensable for all practising and would-be algebraic number theorists. |
| Illustrations: |
5 b/w illus. |
| Publication: |
UK |
| Imprint: |
Cambridge University Press (Virtual Publishing) |
| Returns: |
Non-returnable |
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