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: A
    title: first course in dynamics
    sub title: with a panorama of recent developments
  name:
    name part: Hasselblatt, Boris
    role:
      role term: creator
    role:
      role term: author
  name:
    name part: Katok, A. B.
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: enk
    date issued: 2003
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: x, 424 pages : illustrations ; 26 cm
  abstract: "The theory of dynamical systems is a major mathematical discipline closely intertwined with all main areas of mathematics. It has greatly stimulated research in many sciences and given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introduction for senior undergraduate and beginning graduate students of mathematics, physics, and engineering combines mathematical rigor with copious examples of important applications. It covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. Readers need not be familiar with manifolds or measure theory; the only prerequisite is a basic undergraduate analysis course.
  abstract: The authors begin by describing the wide array of scientific and mathematical questions that dynamics can address. They then use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. The final chapters introduce modern developments and applications of dynamics. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory."--Pub. desc.
  table of contents: pt. 1 A Course in Dynamics: From Simple to Complicated Behavior -- 2 Systems with Stable Asymptotic Behavior -- 3 Linear Maps and Linear Differential Equations -- 4 Recurrence and Equidistribution on the Circle -- 5 Recurrence and Equidistribution in Higher Dimension -- 6 Conservative Systems -- 7 Simple Systems with Complicated Orbit Structure -- 8 Entropy and Chaos -- part 2 Panorama of Dynamical Systems -- 9 Simple Dynamics as a Tool -- 10 Hyperbolic Dynamics -- 11 Quadratic Maps -- 12 Homoclinic Tangles -- 13 Strange Attractors -- 14 Variational Methods, Twist Maps, and Closed Geodesics -- 15 Dynamics, Number Theory, and Diophantine Approximatin.
  note: Boris Hasselblatt, Anatole Katok.
  note: Includes bibliographical references and index.
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Dynamique différentiable
  subject:
    topic: 31.46 functional analysis
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Differenzierbares dynamisches System
  subject:
    topic: Dynamische systemen
  subject:
    topic: Niet-lineaire vergelijkingen
  subject:
    topic: Differentiaalvergelijkingen
  subject:
    topic: Differentiable dynamical systems
  classification: QA614.8 .H38 2003
  classification: 514/.74
  classification: 31.46
  classification: 37-01
  classification: SK 810
  classification: MAT 344f
  identifier: 0521583047
  identifier: 9780521583046
  identifier: 0521587506
  identifier: 9780521587501
  identifier: 2002019246
  identifier: http://catdir.loc.gov/catdir/samples/cam041/2002019246.html
  identifier: http://catdir.loc.gov/catdir/toc/cam022/2002019246.html
  identifier: http://bvbr.bib-bvb.de:8991/F
  identifier: http://www.gbv.de/dms/ilmenau/toc/35231429X.PDF
  identifier: http://catdir.loc.gov/catdir/description/cam022/2002019246.html
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  location:
    physical location: TAG TAGC
  record info:
    record content source: DLC
    record creation date: 020129
    record change date: 20240808225025.7
    record identifier: in00004817123
    language of cataloging:
      language term: eng