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

By A. Fröhlich,M. J. Taylor

ISBN-10: 052136664X

ISBN-13: 9780521366649

ISBN-10: 0521438349

ISBN-13: 9780521438346

This publication 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 options for the categorical calculation of the fundamental invariants, equivalent to jewelry of integers, type teams, and devices. furthermore they mix, at each one degree of improvement, thought with particular computations and purposes, and supply motivation by way of classical number-theoretic difficulties. a few distinctive subject matters are incorporated that may be taken care of at this point yet can often in simple terms be present in examine monographs or unique papers, for example: module conception of Dedekind domain names; tame and wild ramifications; Gauss sequence and Gauss classes; binary quadratic types; and Brauer family. this is often the single textbook at this point which mixes fresh, sleek algebraic strategies including a considerable mathematics content material. will probably be imperative for all working towards and would-be algebraic quantity theorists.

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