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

By A. Fröhlich,M. J. Taylor

This e-book 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 complex rules. all through, the authors emphasise the systematic improvement of strategies for the specific calculation of the fundamental invariants, similar to jewelry of integers, classification teams, and devices. furthermore they mix, at each one level of improvement, idea with particular computations and purposes, and supply motivation when it comes to classical number-theoretic difficulties. a couple of particular themes are integrated that may be taken care of at this point yet can often simply be present in study monographs or unique papers, for example: module conception of Dedekind domain names; tame and wild ramifications; Gauss sequence and Gauss sessions; binary quadratic kinds; and Brauer family. 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 essential 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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