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Class Field Theory (Universitext) by Nancy Childress [Childress, Nancy] is a nonfiction available to read on EtoBox.

What is Class Field Theory (Universitext) about?

Class field theory, the study of abelian extensions of algebraic number fields, is one of the largest branches of algebraic number theory. It brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. Some of its consequences (e.g., the Chebotarev density theorem) apply even to nonabelian extensions. This book is an accessible introduction to class field theory. It takes a traditional approach in that it attempts to present the material using the original techniques of proof (global to local), but in a fashion which is cleaner and more streamlined than most other books on this topic. It could be used for a graduate course on algebraic number theory, as well as for students who are interested in self-study. The book has been class-tested, and the author has included exercises throughout the text. Preface 5 Contents 8 to 1 A Brief Review 10 to 2 Dirichlet's Theorem on Primes in Arithmetic Progressions 25 to 3 Ray Class Groups 53 to 4 The Idèlic Theory 70 to 5 Artin Reciprocity 111 to 6 The Existence Theorem, Consequences and Applications 140 to 7 Local Class Field Theory 185 Bibliography 223 Index 227 Mathematics,Abst

Who reads Class Field Theory (Universitext)?

Author

Nancy Childress [Childress, Nancy]

Publisher

Springer Science & Business Media

Published

2009

Language

EN

ISBN

9781781683705

Category

nonfiction

Subjects

Philosophy, Political Science, Economics

Rating

4 / 5 (1 ratings)

Updated

2026-03-24