Get Class Field Theory (Universitext) PDF

Get Class Field Theory (Universitext) PDF

By Nancy Childress

type box concept, the research of abelian extensions of algebraic quantity fields, is without doubt one of the greatest branches of algebraic quantity idea. It brings jointly the quadratic and better reciprocity legislation of Gauss, Legendre, and others, and significantly generalizes them. a few of its results (e.g., the Chebotarev density theorem) follow even to nonabelian extensions.
This publication is an available advent to category box concept. It takes a standard process in that it makes an attempt to give the cloth utilizing the unique options of evidence (global to local), yet in a way that's cleanser and extra streamlined than so much different books in this subject. it can be used for a graduate direction on algebraic quantity conception, in addition to for college students who're drawn to self-study. The ebook has been class-tested, and the writer has incorporated routines during the text.

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Class Field Theory (Universitext) by Nancy Childress

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