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Class Field Theory (Universitext) by Nancy Childress

By Nancy Childress

classification box conception, the learn of abelian extensions of algebraic quantity fields, is among the greatest branches of algebraic quantity concept. It brings jointly the quadratic and better reciprocity legislation of Gauss, Legendre, and others, and drastically generalizes them. a few of its results (e.g., the Chebotarev density theorem) practice even to nonabelian extensions.
This ebook is an available creation to category box conception. It takes a conventional process in that it makes an attempt to offer the cloth utilizing the unique options of evidence (global to local), yet in a manner that is purifier and extra streamlined than so much different books in this subject. it can be used for a graduate path on algebraic quantity idea, in addition to for college kids who're attracted to self-study. The e-book has been class-tested, and the writer has integrated routines through the text.

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