Download e-book for kindle: Algebraic Number Theory (Cambridge Studies in Advanced by A. Fröhlich,M. J. Taylor

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 offers a brisk, thorough therapy of the principles of algebraic quantity conception, and builds on that to introduce extra complex principles. all through, the authors emphasise the systematic improvement of concepts for the categorical calculation of the elemental invariants, similar to jewelry of integers, type teams, and devices. additionally they mix, at every one degree of improvement, thought with specific computations and functions, and supply motivation by way of classical number-theoretic difficulties. a couple of targeted subject matters are integrated that may be taken care of at this point yet can frequently basically be present in learn monographs or unique papers, for example: module conception of Dedekind domain names; tame and wild ramifications; Gauss sequence and Gauss classes; binary quadratic varieties; and Brauer family members. this is often the single textbook at this point which mixes fresh, glossy algebraic ideas including a considerable mathematics content material. it is going to be critical for all working towards 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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