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: Geometry of Hamilton and Lagrange Spaces
  name:
    name part: Miron, Radu.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Hrimiuc, Dragos.
    role:
      role term: author.
  name:
    name part: Shimada, Hideo.
    role:
      role term: author.
  name:
    name part: Sabau, Sorin V.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: ne
    date issued: 2002
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 338 p. online resource.
  abstract: The title of this book is no surprise for people working in the field of Analytical Mechanics. However, the geometric concepts of Lagrange space and Hamilton space are completely new. The geometry of Lagrange spaces, introduced and studied in [76],[96], was ext- sively examined in the last two decades by geometers and physicists from Canada, Germany, Hungary, Italy, Japan, Romania, Russia and U.S.A. Many international conferences were devoted to debate this subject, proceedings and monographs were published [10], [18], [112], [113],... A large area of applicability of this geometry is suggested by the connections to Biology, Mechanics, and Physics and also by its general setting as a generalization of Finsler and Riemannian geometries. The concept of Hamilton space, introduced in [105], [101] was intensively studied in [63], [66], [97],... and it has been successful, as a geometric theory of the Ham- tonian function the fundamental entity in Mechanics and Physics. The classical Legendre’s duality makes possible a natural connection between Lagrange and - miltonspaces. It reveals new concepts and geometrical objects of Hamilton spaces that are dual to those which are similar in Lagrange spaces. Following this duality Cartan spaces introduced and studied in [98], [99],..., are, roughly speaking, the Legendre duals of certain Finsler spaces [98], [66], [67]. The above arguments make this monograph a continuation of [106], [113], emphasizing the Hamilton geometry.
  table of contents: The geometry of tangent bundle -- Finsler spaces -- Lagrange spaces -- The geometry of cotangent bundle -- Hamilton spaces -- Cartan spaces -- The duality between Lagrange and Hamilton spaces -- Symplectic transformations of the differential geometry of T*M -- The dual bundle of a k-osculator bundle -- Linear connections on the manifold T*2M -- Generalized Hamilton spaces of order 2 -- Hamilton spaces of order 2 -- Cartan spaces of order 2.
  note: by Radu Miron, Dragos Hrimiuc, Hideo Shimada, Sorin V. Sabau.
  subject:
    topic: Mathematics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Differential geometry
  subject:
    topic: Mathematics
  subject:
    topic: Differential Geometry
  subject:
    topic: Applications of Mathematics
  classification: QA641-670
  classification: 516.36
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Fundamental Theories of Physics ; 118
  identifier: 9780306471353
  identifier: http://dx.doi.org/10.1007/0-306-47135-3
  record info:
    record creation date: 100301
    record change date: 20151204163809.0
    record identifier: 978-0-306-47135-3