Download PDF by A. Fröhlich,M. J. Taylor: Algebraic Number Theory (Cambridge Studies in Advanced

By A. Fröhlich,M. J. Taylor

ISBN-10: 052136664X

ISBN-13: 9780521366649

ISBN-10: 0521438349

ISBN-13: 9780521438346

This publication originates from graduate classes given in Cambridge and London. It presents a brisk, thorough remedy of the principles of algebraic quantity idea, and builds on that to introduce extra complicated principles. all through, the authors emphasise the systematic improvement of ideas for the categorical calculation of the elemental invariants, reminiscent of jewelry of integers, category teams, and devices. additionally they mix, at each one degree of improvement, idea with specific computations and purposes, and supply motivation when it comes to classical number-theoretic difficulties. a couple of specified issues are incorporated that may be taken care of at this point yet can frequently merely be present in learn 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. this is often the one textbook at this point which mixes fresh, smooth algebraic innovations including a considerable mathematics content material. it is going to be quintessential 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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