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: Vladimir I. Arnold - Collected Works
    sub title: Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972
  name:
    name part: Arnold, Vladimir I.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Givental, Alexander B.
    role:
      role term: editor.
  name:
    name part: Khesin, Boris A.
    role:
      role term: editor.
  name:
    name part: Varchenko, Alexander N.
    role:
      role term: editor.
  name:
    name part: Vassiliev, Victor A.
    role:
      role term: editor.
  name:
    name part: Viro, Oleg Ya.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 465 p. 20 illus. online resource.
  abstract: Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his Collected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry.
  table of contents: 1 Variational principle for three-dimensional steady-state flows of an ideal fluid -- 2 On the Riemann curvature of diffeomorphism groups -- 3 Sur la topologie des écoulements stationnaires des fluides parfaits (in French) -- 4 Conditions for non-linear stability of stationary plane curvilinear flows of an ideal fluid -- 5 On the topology of three-dimensional steady flows of an ideal fluid -- 6 On an a priori estimate in the theory of hydrodynamical stability -- 7 On the differential geometry of infinite-dimensional Lie groups and its application to the hydrodynamics of perfect fluids -- 8 On a variational principle for the steady flows of perfect fluids and its application to problems of non-linear stability -- 9 Characteristic class entering in quantization conditions -- 10 A note on Weierstrass auxiliary theorem -- 11 A letter to the editors (in Russian) -- 12 The stability problem and ergodic properties for classical dynamical systems -- 13 Remark on the branching of hyperelliptic integrals as functions of the parameters -- 14 Singularities of smooth mappings -- 15 Braids of algebraic functions and the cohomology of swallowtails -- 16 Hamiltonian nature of the Euler equations in the dynamics of a rigid body and of an ideal fluid -- 17 Remarks on singularities of finite codimension in complex dynamical systems -- 18 One-dimensional cohomologies of the Lie algebras of non-divergence vector fields, and rotation numbers of dynamic systems -- 19 The cohomology ring of the colored braid group -- 20 Trivial problems -- 21 Cohomology classes of algebraic functions invariant under Tschirnhausen transformations -- 22 Local Problems of Analysis -- 23 Algebraic unsolvability of the problem of stability and the problem of the topological classification of the singular points of analytic systems of differential equations (in Russian) -- 24 On some topological invariants of algebraic functions -- 25 Topological invariants of algebraic functions II -- 26 Algebraic unsolvability…
  note: by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro.
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic geometry
  subject:
    topic: Mathematical physics
  subject:
    topic: Physics
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Applications in the Physical Sciences
  subject:
    topic: Algebraic Geometry
  subject:
    topic: Mathematical Methods in Physics
  classification: QC19.2-20.85
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Vladimir I. Arnold - Collected Works ; 2
  identifier: 9783642310317
  identifier: http://dx.doi.org/10.1007/978-3-642-31031-7
  record info:
    record creation date: 131211
    record change date: 20151030081259.0
    record identifier: 978-3-642-31031-7