New PDF release: Algebraic Number Theory (Cambridge Studies in Advanced

By A. Fröhlich,M. J. Taylor

This booklet originates from graduate classes given in Cambridge and London. It offers a brisk, thorough therapy of the rules of algebraic quantity concept, and builds on that to introduce extra complex rules. all through, the authors emphasise the systematic improvement of recommendations for the specific calculation of the elemental invariants, corresponding to jewelry of integers, type teams, and devices. in addition they mix, at every one level of improvement, concept with particular computations and purposes, and supply motivation by way of classical number-theoretic difficulties. a few exact subject matters are integrated that may be taken care of at this point yet can often basically be present in study monographs or unique papers, for example: module thought of Dedekind domain names; tame and wild ramifications; Gauss sequence and Gauss classes; binary quadratic kinds; and Brauer kinfolk. this can be the one textbook at this point which mixes fresh, smooth algebraic options including a considerable mathematics content material. will probably be imperative 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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