New PDF release: Algebraic Number Theory (Cambridge Studies in Advanced

Number Theory

By A. Fröhlich,M. J. Taylor

ISBN-10: 052136664X

ISBN-13: 9780521366649

ISBN-10: 0521438349

ISBN-13: 9780521438346

This ebook 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 complex rules. all through, the authors emphasise the systematic improvement of ideas for the categorical calculation of the fundamental invariants, equivalent to jewelry of integers, category teams, and devices. furthermore they mix, at every one degree of improvement, conception with particular computations and functions, and supply motivation when it comes to classical number-theoretic difficulties. a few specific issues are incorporated that may be handled at this point yet can frequently in simple terms be present in learn monographs or unique papers, for example: module conception of Dedekind domain names; tame and wild ramifications; Gauss sequence and Gauss classes; binary quadratic varieties; and Brauer kinfolk. this is often the single textbook at this point which mixes fresh, smooth algebraic strategies including a considerable mathematics content material. will probably be imperative for all practicing 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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