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: Dynamical Systems X
    sub title: General Theory of Vortices
  name:
    name part: Kozlov, V. V.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 2003
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (viii, 184 pages)
  abstract: This book contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. This theory highlights several general mathematical ideas that appeared in Hamiltonian mechanics, optics and hydrodynamics under different names. In addition, some interesting applications of the general theory of vortices are discussed in the book such as applications in numerical methods, stability theory, and the theory of exact integration of equations of dynamics. The investigation of families of trajectories of Hamiltonian systems can be reduced to problems of multidimensional ideal fluid dynamics. For example, the well-known Hamilton-Jacobi method corresponds to the case of potential flows. The book will be of great interest to researchers and postgraduate students interested in mathematical physics, mechanics, and the theory of differential equations.
  table of contents: Introduction -- 1. Hydrodynamics, Geometrical Optics, and Classical Mechanics -- 2. General Vortex Theory -- 3. Geodesics on Lie Groups with Left-Invariant Metrics -- 4. Vortex Method of Integration of Hamilton Equations -- Appendix 1. Invariants of Vorticity and Second Hydrodynamics -- Appendix 2. Quantum Mechanics and Hydrodynamics -- References -- Index.
  note: by V.V. Kozlov.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Geometry
  subject:
    topic: Mechanics
  subject:
    topic: Geometry
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Mathematics
  subject:
    topic: Mechanics
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Encyclopaedia of mathematical sciences ; 67
  identifier: 9783662068007 (electronic bk.)
  identifier: 3662068001 (electronic bk.)
  identifier: 9783642075841
  identifier: 3642075843
  identifier: 3662068001
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130125
    record change date: 20260420213842.8
    record identifier: in00003574612
    language of cataloging:
      language term: eng