Read e-book online Algebraic Number Theory (Cambridge Studies in Advanced PDF

By A. Fröhlich,M. J. Taylor

ISBN-10: 052136664X

ISBN-13: 9780521366649

ISBN-10: 0521438349

ISBN-13: 9780521438346

This ebook originates from graduate classes given in Cambridge and London. It presents a brisk, thorough therapy of the rules of algebraic quantity concept, and builds on that to introduce extra complicated principles. all through, the authors emphasise the systematic improvement of innovations for the categorical calculation of the elemental invariants, equivalent to jewelry of integers, category teams, and devices. furthermore they mix, at every one degree of improvement, concept with particular computations and functions, and supply motivation by way of classical number-theoretic difficulties. a couple of detailed subject matters are integrated that may be handled at this point yet can frequently basically be present in study monographs or unique papers, for example: module concept of Dedekind domain names; tame and wild ramifications; Gauss sequence and Gauss sessions; binary quadratic kinds; and Brauer relatives. this is often the single textbook at this point which mixes fresh, glossy algebraic recommendations including a considerable mathematics content material. it is going to be crucial for all practicing and would-be algebraic quantity theorists.

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Algebraic Number Theory (Cambridge Studies in Advanced Mathematics) by A. Fröhlich,M. J. Taylor

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