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: Shape-Preserving Approximation by Real and Complex Polynomials
  name:
    name part: Gal, Sorin G.
    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: 2008
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 352 p. online resource.
  abstract: This monograph presents the first comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables. Such approximation methods are useful in many problems that arise in science and engineering and require an optimal mathematical representation of physical reality. The main topics are structured in four chapters, followed by an appendix: shape-preserving approximation and interpolation of real functions of one real variable by real polynomials; shape-preserving approximation of real functions of several real variables by multivariate real polynomials; shape-preserving approximation of analytic functions of one complex variable by complex polynomials in the unit disk; and shape-preserving approximation of analytic functions of several complex variables on the unit ball or the unit polydisk by polynomials of several complex variables. The appendix treats related results of non-polynomial and non-spline approximations preserving shape including those by complexified operators with applications to complex partial differential equations. Shape-Preserving Approximation by Real and Complex Polynomials contains many open problems at the end of each chapter to stimulate future research along with a rich and updated bibliography surveying the vast literature. The text will be useful to graduate students and researchers interested in approximation theory, mathematical analysis, numerical analysis, computer aided geometric design, robotics, data fitting, chemistry, fluid mechanics, and engineering.
  table of contents: Shape-Preserving Approximation By Real Univariate Polynomials -- Shape-Preserving Approximation by Real Multivariate Polynomials -- Shape-Preserving Approximation by Complex Univariate Polynomials -- Shape-Preserving Approximation by Complex Multivariate Polynomials -- Appendix : Some Related Topics.
  note: by Sorin G. Gal.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Approximation theory
  subject:
    topic: Functions of complex variables
  subject:
    topic: Functions of real variables
  subject:
    topic: Computer mathematics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Approximations and Expansions
  subject:
    topic: Real Functions
  subject:
    topic: Functions of a Complex Variable
  subject:
    topic: Computational Mathematics and Numerical Analysis
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  classification: QA150-272
  classification: 512
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780817647032
  identifier: http://dx.doi.org/10.1007/978-0-8176-4703-2
  record info:
    record creation date: 100608
    record change date: 20151204191331.0
    record identifier: 978-0-8176-4703-2