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:
    non sort: The
    title: fractional calculus
    sub title: theory and applications of differentiation and integration to arbitrary order
  name:
    name part: Oldham, Keith B.
    role:
      role term: creator
  name:
    name part: Spanier, Jerome
    name part: 1930-
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    place:
      place term: New York
    publisher: Academic Press
    date issued: 1974
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xiii, 234 pages) : illustrations
  abstract: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank.
  table of contents: Introduction -- Differentiation and integration to the integer order -- Fractional derivatives and integrals : definitions and equivalences -- Differentigration of simple functions -- General properties -- Differintegration of more complex functions -- Semiderivatives and semiintegral -- Techniques in the fractional calculus -- Representation of transcendental functions -- Applications in the classical calculus -- Applications to diffusion problems.
  note: Keith B. Oldham [and] Jerome Spanier.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages 219-223) and index.
  subject:
    topic: Fractional calculus
  subject:
    topic: Calculus
  subject:
    topic: Dérivées fractionnaires
  subject:
    topic: Calcul infinitésimal
  subject:
    topic: calculus
  subject:
    topic: 31.44 ordinary differential equations
  subject:
    topic: 31.40 mathematical analysis: general
  subject:
    topic: MATHEMATICS
    topic: Calculus
  subject:
    topic: MATHEMATICS
    topic: Mathematical Analysis
  subject:
    topic: Fractional calculus
  subject:
    topic: Funktionentheorie
  subject:
    topic: Spezielle Funktion
  subject:
    topic: Analise Real
  subject:
    topic: Mathematical analysis
  subject:
    topic: Calculus
  subject:
    topic: Fractional calculus
  subject:
    topic: Calcul des variations
  subject:
    topic: Fractional calculus
  classification: QA314 .O34eb 1974eb
  classification: 515
  classification: 31.44
  classification: 31.40
  classification: SK 400
  classification: SK 620
  classification: 31.49
  classification: cci1icc
  classification: coll1
  classification: MAT 260f
  related item:
    title info:
      title: Fractional calculus
    name:
      name part: Oldham, Keith B.
    origin info:
      publisher: New York, Academic Press, 1974
    identifier: (DLC) 73005304
    identifier: (OCoLC)754362
  related item:
    identifier: (DLC) 73005304
    identifier: (OCoLC)754362
  related item:
    title info:
      title: Mathematics in science and engineering ; v. 111
  identifier: 9780080956206
  identifier: 0080956203
  identifier: 0125255500
  identifier: 9780125255509
  identifier: 0486450015
  identifier: 9780486450018
  identifier: 73005304
  identifier: 1093202:10877921 Elsevier Science & Technology
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: N$T
    record creation date: 101202
    record change date: 20260326184831.9
    record identifier: in00005747151
    language of cataloging:
      language term: eng