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: Differential Geometry and Topology
    sub title: With a View to Dynamical Systems
  name:
    name part: Burns, Keith.
    role:
      role term: creator
  name:
    name part: Gidea, Marian.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: xx
    place:
      place term: Hoboken
    publisher: CRC Press
    date issued: 2005
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (403 pages)
  abstract: MANIFOLDSIntroductionReview of topological conceptsSmooth manifoldsSmooth mapsTangent vectors and the tangent bundleTangent vectors as derivationsThe derivative of a smooth mapOrientationImmersions, embeddings and submersionsRegular and critical points and valuesManifolds with boundarySard's theoremTransversalityStabilityExercisesVECTOR FIELDS AND DYNAMICAL SYSTEMSIntroductionVector fieldsSmooth dynamical systemsLie derivative, Lie bracketDiscrete dynamical systemsHyperbolic fixed points and periodic orbitsExercisesRIEMANNIAN METRICSIntroductionRiemannian metricsStandard geometries on surfaces.
  table of contents: Front cover; Preface; Contents; Chapter 1. Manifolds; Chapter 2. Vector Fields and Dynamical Systems; Chapter 3. Riemannian Metrics; Chapter 4. Riemannian Connections and Geodesics; Chapter 5. Curvature; Chapter 6. Tensors and Differential Forms; Chapter 7. Fixed Points and Intersection Numbers; Chapter 8. Morse Theory; Chapter 9. Hyperbolic Systems; References; Index; Back cover.
  note: Includes bibliographical references and index.
  subject:
    topic: Geometry, Differential
  subject:
    topic: Differential topology
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Géométrie différentielle
  subject:
    topic: Topologie différentielle
  subject:
    topic: Dynamique différentiable
  subject:
    topic: MATHEMATICS
    topic: Geometry
    topic: General
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Differential topology
  subject:
    topic: Geometry, Differential
  classification: QA641 .B826 2005
  classification: 516.36
  related item:
    title info:
      title: Differential Geometry and Topology : With a View to Dynamical Systems
    name:
      name part: Burns, Keith.
    origin info:
      publisher: Hoboken : CRC Press, ©2005
  related item:
    title info:
      title: Studies in advanced mathematics
  identifier: 9781420057539
  identifier: 1420057537
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: EBLCP
    record creation date: 150509
    record change date: 20241111204650.9
    record identifier: in00005527296
    language of cataloging:
      language term: eng