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

By A. Fröhlich,M. J. Taylor

This publication originates from graduate classes given in Cambridge and London. It presents a brisk, thorough therapy of the rules of algebraic quantity idea, and builds on that to introduce extra complicated rules. all through, the authors emphasise the systematic improvement of options for the categorical calculation of the elemental invariants, akin to earrings of integers, category teams, and devices. in addition they mix, at each one degree of improvement, idea with particular computations and functions, and supply motivation by way of classical number-theoretic difficulties. a few certain issues are integrated that may be taken care of at this point yet can often merely be present in study monographs or unique papers, for example: module thought 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, smooth algebraic suggestions including a considerable mathematics content material. it will likely be fundamental 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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