Number Theory

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 ebook originates from graduate classes given in Cambridge and London. It offers a brisk, thorough remedy of the rules of algebraic quantity conception, 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 fundamental invariants, reminiscent of jewelry of integers, classification teams, and devices. in addition they mix, at every one level of improvement, conception with particular computations and functions, and supply motivation when it comes to classical number-theoretic difficulties. a couple of distinct issues are incorporated that may be handled at this point yet can often simply be present in learn monographs or unique papers, for example: module conception of Dedekind domain names; tame and wild ramifications; Gauss sequence and Gauss sessions; binary quadratic types; and Brauer relatives. this can be the single textbook at this point which mixes fresh, glossy algebraic innovations including a considerable mathematics content material. it will likely be vital 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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