Download e-book for iPad: 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 booklet originates from graduate classes given in Cambridge and London. It offers a brisk, thorough remedy of the rules of algebraic quantity thought, and builds on that to introduce extra complicated rules. all through, the authors emphasise the systematic improvement of innovations for the specific calculation of the elemental invariants, akin to jewelry of integers, type teams, and devices. furthermore they mix, at every one level of improvement, idea with specific computations and functions, and supply motivation by way of classical number-theoretic difficulties. a few unique themes are incorporated that may be taken care of at this point yet can frequently in simple terms be present in examine monographs or unique papers, for example: module idea of Dedekind domain names; tame and wild ramifications; Gauss sequence and Gauss sessions; binary quadratic types; and Brauer kinfolk. this is often the single textbook at this point which mixes fresh, sleek algebraic recommendations including a considerable mathematics content material. it is going to be critical for all training 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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