Get Class Field Theory (Universitext) PDF

By Nancy Childress

ISBN-10: 0387724893

ISBN-13: 9780387724898

type box concept, the learn of abelian extensions of algebraic quantity fields, is among the greatest 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 outcomes (e.g., the Chebotarev density theorem) observe even to nonabelian extensions.
This booklet is an available advent to category box concept. It takes a standard method in that it makes an attempt to give the fabric utilizing the unique recommendations of evidence (global to local), yet in a manner that's purifier and extra streamlined than such a lot different books in this subject. it can be used for a graduate path on algebraic quantity conception, in addition to for college students who're attracted to self-study. The e-book has been class-tested, and the writer has integrated workouts through the text.

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Class Field Theory (Universitext) by Nancy Childress

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