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: Galois Theory
  name:
    name part: Weintraub, Steven H.
    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: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 190 p. online resource.
  abstract: Classical Galois theory is a subject generally acknowledged to be one of the most central and beautiful areas in pure mathematics. This text develops the subject systematically and from the beginning, requiring of the reader only basic facts about polynomials and a good knowledge of linear algebra. Key topics and features of this book: - Approaches Galois theory from the linear algebra point of view, following Artin - Develops the basic concepts and theorems of Galois theory, including algebraic, normal, separable, and Galois extensions, and the Fundamental Theorem of Galois Theory - Presents a number of applications of Galois theory, including symmetric functions, finite fields, cyclotomic fields, algebraic number fields, solvability of equations by radicals, and the impossibility of solution of the three geometric problems of Greek antiquity - Excellent motivaton and examples throughout The book discusses Galois theory in considerable generality, treating fields of characteristic zero and of positive characteristic with consideration of both separable and inseparable extensions, but with a particular emphasis on algebraic extensions of the field of rational numbers. While most of the book is concerned with finite extensions, it concludes with a discussion of the algebraic closure and of infinite Galois extensions. Steven H. Weintraub is Professor and Chair of the Department of Mathematics at Lehigh University. This book, his fifth, grew out of a graduate course he taught at Lehigh. His other books include Algebra: An Approach via Module Theory (with W. A. Adkins).
  table of contents: to Galois Theory -- Field Theory and Galois Theory -- Development and Applications of Galois Theory -- Extensions of the field of Rational Numbers -- Further Topics in Field Theory.
  note: by Steven H. Weintraub.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Field theory (Physics)
  subject:
    topic: Group theory
  subject:
    topic: Number theory
  subject:
    topic: Mathematics
  subject:
    topic: Field Theory and Polynomials
  subject:
    topic: Group Theory and Generalizations
  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: 9780387289175
  identifier: http://dx.doi.org/10.1007/0-387-28917-8
  record info:
    record creation date: 100301
    record change date: 20151125022104.0
    record identifier: 978-0-387-28917-5