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

By Nancy Childress

ISBN-10: 0387724893

ISBN-13: 9780387724898

type box thought, the examine of abelian extensions of algebraic quantity fields, is among the biggest branches of algebraic quantity idea. It brings jointly the quadratic and better reciprocity legislation of Gauss, Legendre, and others, and drastically generalizes them. a few of its effects (e.g., the Chebotarev density theorem) observe even to nonabelian extensions.
This booklet is an available advent to category box conception. It takes a conventional method in that it makes an attempt to offer the cloth utilizing the unique thoughts of facts (global to local), yet in a way that is purifier and extra streamlined than so much different books in this subject. it may be used for a graduate path on algebraic quantity thought, in addition to for college students who're drawn to self-study. The e-book has been class-tested, and the writer has integrated workouts during the text.

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Class Field Theory (Universitext) by Nancy Childress

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Categories: Number Theory