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: Interpolation and Approximation by Polynomials
  name:
    name part: Phillips, George M.
    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: 2003
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 312 p. online resource.
  abstract: This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics. In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks. There are many worked examples and each section ends with a number of carefully selected problems that extend the student's understanding of the text. George Phillips has lectured and researched in mathematics at the University of St. Andrews, Scotland. His most recent book, Two Millenia of Mathematics: From Archimedes to Gauss (Springer 2000), received enthusiastic reviews in the USA, Britain and Canada. He is well known for his clarity of writing and his many contributions as a researcher in approximation theory.
  table of contents: Univariate Interpolation -- Best Approximation -- Numerical Integration -- Peano’s Theorem and Applications -- Multivariate Interpolation -- Splines -- Bernstein Polynomials -- Properties of the q-Integers.
  note: by George M. Phillips.
  subject:
    topic: Mathematics
  subject:
    topic: Approximation theory
  subject:
    topic: Numerical analysis
  subject:
    topic: Optics
  subject:
    topic: Optoelectronics
  subject:
    topic: Plasmons (Physics)
  subject:
    topic: Mathematics
  subject:
    topic: Approximations and Expansions
  subject:
    topic: Numerical Analysis
  subject:
    topic: Optics, Optoelectronics, Plasmonics and Optical Devices
  classification: QA401-425
  classification: 511.4
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: CMS Books in Mathematics
  identifier: 9780387216829
  identifier: http://dx.doi.org/10.1007/b97417
  record info:
    record creation date: 100301
    record change date: 20151204184220.0
    record identifier: 978-0-387-21682-9