Class Field Theory

Class Field Theory
Author :
Publisher : Springer Science & Business Media
Total Pages : 230
Release :
ISBN-10 : 9780387724904
ISBN-13 : 0387724907
Rating : 4/5 (907 Downloads)

Book Synopsis Class Field Theory by : Nancy Childress

Download or read book Class Field Theory written by Nancy Childress and published by Springer Science & Business Media. This book was released on 2008-10-28 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Class field theory brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. This book provides 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, 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 lots of challenging exercises throughout the text.


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Global class field theory is a major achievement of algebraic number theory based on the functorial properties of the reciprocity map and the existence theorem.