Download e-book for iPad: Class Field Theory (Universitext) by Nancy Childress

By Nancy Childress

ISBN-10: 0387724893

ISBN-13: 9780387724898

category box conception, the examine of abelian extensions of algebraic quantity fields, is likely one of the biggest branches of algebraic quantity concept. It brings jointly the quadratic and better reciprocity legislation of Gauss, Legendre, and others, and significantly generalizes them. a few of its effects (e.g., the Chebotarev density theorem) observe even to nonabelian extensions.
This e-book is an available advent to type box conception. It takes a conventional strategy in that it makes an attempt to provide the cloth utilizing the unique options of evidence (global to local), yet in a manner that is cleanser and extra streamlined than so much different books in this subject. it can be used for a graduate direction on algebraic quantity concept, in addition to for college students who're drawn to self-study. The ebook has been class-tested, and the writer has incorporated workouts through the text.

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Class Field Theory (Universitext) by Nancy Childress

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