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: Algorithms for Computer Algebra
  name:
    name part: Geddes, K. O.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Czapor, S. R.
    role:
      role term: author.
  name:
    name part: Labahn, G.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 1992
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXII, 586 p. online resource.
  abstract: Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields.
  table of contents: to Computer Algebra -- Algebra of Polynomials, Rational Functions, and Power Series -- Normal Forms and Algebraic Representations -- Arithmetic of Polynomials, Rational Functions, and Power Series -- Homomorphisms and Chinese Remainder Algorithms -- Newton’s Iteration and the Hensel Construction -- Polynomial GCD Computation -- Polynomial Factorization -- Solving Systems of Equations -- Gröbner Bases for Polynomial Ideals -- Integration of Rational Functions -- The Risch Integration Algorithm.
  note: by K. O. Geddes, S. R. Czapor, G. Labahn.
  subject:
    topic: Mathematics
  subject:
    topic: Computer science
  subject:
    topic: Numerical analysis
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Image processing
  subject:
    topic: Algebra
  subject:
    topic: Computer software
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Software
  subject:
    topic: Image Processing and Computer Vision
  subject:
    topic: Algebra
  subject:
    topic: Symbolic and Algebraic Manipulation
  subject:
    topic: Numeric Computing
  subject:
    topic: Computer Science, general
  classification: QA76.75-76.765
  classification: 004
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780585332475
  identifier: http://dx.doi.org/10.1007/b102438
  record info:
    record creation date: 101005
    record change date: 20151204143543.0
    record identifier: 978-0-585-33247-5