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: Geometrical Methods in the Theory of Ordinary Differential Equations
  name:
    name part: Arnold, V. I.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1988
    edition: Second edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xiii, 351 pages)
  abstract: Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations.
  table of contents: Special Equations -- First-Order Partial Differential Equations -- Structural Stability -- Perturbation Theory -- Normal Forms -- Local Bifurcation Theory -- Samples of Examination Problems -- Index.
  note: by V.I. Arnold.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Mathematics
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 250
  identifier: 9781461210375 (electronic bk.)
  identifier: 1461210372 (electronic bk.)
  identifier: 9781461269946
  identifier: 1461269946
  identifier: 1461210372
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 121227
    record change date: 20260422210543.7
    record identifier: in00003574043
    language of cataloging:
      language term: eng