Algebraic Number Theory (Cambridge Studies in Advanced - download pdf or read online

By A. Fröhlich,M. J. Taylor

This ebook originates from graduate classes given in Cambridge and London. It presents a brisk, thorough therapy of the rules of algebraic quantity thought, 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, reminiscent of earrings of integers, type teams, and devices. in addition they mix, at each one degree of improvement, concept with specific computations and functions, and supply motivation when it comes to classical number-theoretic difficulties. a few targeted themes are integrated that may be handled at this point yet can often in basic terms be present in study monographs or unique papers, for example: module conception of Dedekind domain names; tame and wild ramifications; Gauss sequence and Gauss classes; binary quadratic types; and Brauer relatives. this can be the single textbook at this point which mixes fresh, sleek algebraic thoughts including a considerable mathematics content material. will probably be necessary 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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