rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Class Field Theory
  name:
    name part: Childress, Nancy.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2009
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 226 p. online resource.
  abstract: 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 presents the global material first, using some of the original techniques of proof, but in a fashion that 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. Professor Nancy Childress is a member of the Mathematics Faculty at Arizona State University.
  table of contents: A Brief Review -- Dirichlet#x2019;s Theorem on Primes in Arithmetic Progressions -- Ray Class Groups -- The Id#x00E8;lic Theory -- Artin Reciprocity -- The Existence Theorem, Consequences and Applications -- Local Class Field Theory.
  note: by Nancy Childress.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Field theory (Physics)
  subject:
    topic: Number theory
  subject:
    topic: Mathematics
  subject:
    topic: Field Theory and Polynomials
  subject:
    topic: Number Theory
  classification: QA161.A-161.Z
  classification: QA161.P59
  classification: 512.3
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Universitext
  identifier: 9780387724904
  identifier: http://dx.doi.org/10.1007/978-0-387-72490-4
  record info:
    record creation date: 110402
    record change date: 20151204190744.0
    record identifier: 978-0-387-72490-4