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: Abel integral equations
    sub title: analysis and applications
  name:
    name part: Gorenflo, Rudolf.
    role:
      role term: creator
  name:
    name part: Vessella, Sergio.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1991
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (vii, 215 pages) : illustrations.
  abstract: In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical models and methods. The intention of this book is to stimulate this flow of information. In the first three chapters (accessible to third year students of mathematics and physics and to mathematically interested engineers) applications of Abel integral equations are surveyed broadly including determination of potentials, stereology, seismic travel times, spectroscopy, optical fibres. In subsequent chapters (requiring some background in functional analysis) mapping properties of Abel integral operators and their relation to other integral transforms in various function spaces are investi- gated, questions of existence and uniqueness of solutions of linear and nonlinear Abel integral equations are treated, and for equations of the first kind problems of ill-posedness are discussed. Finally, some numerical methods are described. In the theoretical parts, emphasis is put on the aspects relevant to applications.
  note: Rudolf Gorenflo, Sergio Vessella.
  note: Electronic resource.
  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 [195]-209) and index.
  subject:
    topic: Abel integral equations
  subject:
    topic: Abel, Équations intégrales d'
  subject:
    topic: Abel integral equations
  subject:
    topic: Integraalvergelijkingen
  subject:
    topic: Abelsche Integralgleichung
  classification: QA3 .L28 no. 1461
  classification: QA431
  classification: 510 s 515/.45
  classification: 31.46
  related item:
    title info:
      title: Abel integral equations
    name:
      name part: Gorenflo, Rudolf.
    origin info:
      publisher: Berlin ; New York : Springer-Verlag, ©1991
    identifier: (DLC) 91006320
    identifier: (OCoLC)23048518
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1461
  identifier: 9783540469490 (electronic bk.)
  identifier: 3540469494 (electronic bk.)
  identifier: 354053668X
  identifier: 9783540536680
  identifier: 038753668X
  identifier: 9780387536682
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: SPLNM
    record creation date: 081205
    record change date: 20260422173657.3
    record identifier: in00003515599
    language of cataloging:
      language term: eng