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 ebook originates from graduate classes given in Cambridge and London. It presents a brisk, thorough remedy of the rules of algebraic quantity thought, and builds on that to introduce extra complex rules. all through, the authors emphasise the systematic improvement of strategies for the categorical calculation of the fundamental invariants, corresponding to jewelry of integers, category teams, and devices. furthermore they mix, at each one level of improvement, idea with particular computations and functions, and supply motivation when it comes to classical number-theoretic difficulties. a couple of unique issues are integrated that may be handled at this point yet can often purely 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 family members. this can be the single textbook at this point which mixes fresh, sleek algebraic strategies 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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