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Cambridge University Press Algebraic Number Theory: 27 (Cambridge Studies in Advanced Mathematics, Series Number 27)

Name: Algebraic Number Theory: 27 (Cambridge Studies in Advanced Mathematics, Series Number 27)
Brand: Cambridge University Press

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Mathematical Theory

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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.

Product Specifications

Brand: Cambridge University Press
Colour: Grey
Format: Paperback
ASIN: 0521438349
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Theory
Domain: Amazon UK
Release Date: 04 February 1993
Listed Since: 04 January 2007

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Cambridge University Press Algebraic Number Theory: 27 (Cambridge Studies in Advanced Mathematics, Series Number 27)

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