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By A. Fröhlich,M. J. Taylor

This ebook originates from graduate classes given in Cambridge and London. It offers a brisk, thorough therapy of the principles of algebraic quantity concept, and builds on that to introduce extra complicated rules. all through, the authors emphasise the systematic improvement of recommendations for the specific calculation of the elemental invariants, resembling earrings of integers, type teams, and devices. in addition they mix, at every one degree of improvement, concept with particular computations and functions, and supply motivation when it comes to classical number-theoretic difficulties. a couple of specific issues are integrated 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 thought of Dedekind domain names; tame and wild ramifications; Gauss sequence and Gauss classes; binary quadratic varieties; and Brauer family members. this can be the single textbook at this point which mixes fresh, glossy algebraic recommendations including a considerable mathematics content material. it is going to be fundamental 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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