Coverart for item
The Resource Vladimir I. Arnold - Collected Works : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972, by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro, (electronic resource)

Vladimir I. Arnold - Collected Works : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972, by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro, (electronic resource)

Label
Vladimir I. Arnold - Collected Works : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972
Title
Vladimir I. Arnold - Collected Works
Title remainder
Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972
Statement of responsibility
by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro
Creator
Contributor
Author
Editor
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Arnold, Vladimir I
Image bit depth
0
LC call number
QC19.2-20.85
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Givental, Alexander B.
  • Khesin, Boris A.
  • Varchenko, Alexander N.
  • Vassiliev, Victor A.
  • Viro, Oleg Ya.
  • SpringerLink
Series statement
Vladimir I. Arnold - Collected Works
Series volume
2
http://library.link/vocab/subjectName
  • Mathematics
  • Geometry, algebraic
  • Mathematical physics
  • Mathematics
  • Mathematical Applications in the Physical Sciences
  • Algebraic Geometry
  • Mathematical Methods in Physics
Label
Vladimir I. Arnold - Collected Works : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972, by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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 of the problem of Ljapunov stability and the problem of the topological classification of singular points of an analytic system of differential equations -- 27 On matrices depending on parameters -- 28 Distribution of ovals of the real plane of algebraic curves of involutions of four-dimensional smooth manifolds and the arithmetic of integer valued quadratic forms -- 29 Versal families and bifurcations of differential equations (in Russian) -- 30 Notes on the three-dimensional flow pattern of a perfect fluid in the presence of a small perturbation of the initial velocity field -- 31 Lectures on bifurcations in versal families -- 32 The topology of real algebraic curves (in Russian) -- 33 The asymptotic Hopf invariant and its applications -- 34 Magnetic field in a moving conducting fluid -- 35 A magnetic field in a stationary flow with stretching in a Riemannian space -- 36 The large-scale structure of the universe I. General properties. One- and two-dimensional models -- 37 Elements of the large-scale structure of the universe -- 38 Some remarks on the antidynamo theorem -- 39 Steady-state magnetic field in a periodic flow -- 40 Evolution of a magnetic field under the action of transfer and diffusion -- 41 The growth of a magnetic field in a three-dimensional steady incompressible fluid -- 42 Evolution of a magnetic field under the action of drift and diffusion (in Russian) -- 43 Exponential scattering of trajectories and its hydrodynamical applications -- 44 Kolmogorov's hydrodynamic attractors -- 45 Topological methods in hydrodynamics -- 46 Problemes mathématiques de l'hydrodynamique et de la magnétohydrodynamique (in English) -- 47 Translator's Preface to J. Milnor's book "Morse Theory" -- 48 Henri Poincaré: Selected Works in Three Volumes. Vol. I New Methods of Celestial Mechanics - Preface. From the editorial board. Comments -- 49 Comments on the paper "On a geometric theorem" by Henri Poincaré
Dimensions
unknown
Extent
XIII, 465 p. 20 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783642310317
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-31031-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-31031-7
Label
Vladimir I. Arnold - Collected Works : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972, by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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 of the problem of Ljapunov stability and the problem of the topological classification of singular points of an analytic system of differential equations -- 27 On matrices depending on parameters -- 28 Distribution of ovals of the real plane of algebraic curves of involutions of four-dimensional smooth manifolds and the arithmetic of integer valued quadratic forms -- 29 Versal families and bifurcations of differential equations (in Russian) -- 30 Notes on the three-dimensional flow pattern of a perfect fluid in the presence of a small perturbation of the initial velocity field -- 31 Lectures on bifurcations in versal families -- 32 The topology of real algebraic curves (in Russian) -- 33 The asymptotic Hopf invariant and its applications -- 34 Magnetic field in a moving conducting fluid -- 35 A magnetic field in a stationary flow with stretching in a Riemannian space -- 36 The large-scale structure of the universe I. General properties. One- and two-dimensional models -- 37 Elements of the large-scale structure of the universe -- 38 Some remarks on the antidynamo theorem -- 39 Steady-state magnetic field in a periodic flow -- 40 Evolution of a magnetic field under the action of transfer and diffusion -- 41 The growth of a magnetic field in a three-dimensional steady incompressible fluid -- 42 Evolution of a magnetic field under the action of drift and diffusion (in Russian) -- 43 Exponential scattering of trajectories and its hydrodynamical applications -- 44 Kolmogorov's hydrodynamic attractors -- 45 Topological methods in hydrodynamics -- 46 Problemes mathématiques de l'hydrodynamique et de la magnétohydrodynamique (in English) -- 47 Translator's Preface to J. Milnor's book "Morse Theory" -- 48 Henri Poincaré: Selected Works in Three Volumes. Vol. I New Methods of Celestial Mechanics - Preface. From the editorial board. Comments -- 49 Comments on the paper "On a geometric theorem" by Henri Poincaré
Dimensions
unknown
Extent
XIII, 465 p. 20 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783642310317
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-31031-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-31031-7

Library Locations

  • African Studies LibraryBorrow it
    771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Alumni Medical LibraryBorrow it
    72 East Concord Street, Boston, MA, 02118, US
    42.336388 -71.072393
  • Astronomy LibraryBorrow it
    725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US
    42.350259 -71.105717
  • Fineman and Pappas Law LibrariesBorrow it
    765 Commonwealth Avenue, Boston, MA, 02215, US
    42.350979 -71.107023
  • Frederick S. Pardee Management LibraryBorrow it
    595 Commonwealth Avenue, Boston, MA, 02215, US
    42.349626 -71.099547
  • Howard Gotlieb Archival Research CenterBorrow it
    771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Mugar Memorial LibraryBorrow it
    771 Commonwealth Avenue, Boston, MA, 02215, US
    42.350723 -71.108227
  • Music LibraryBorrow it
    771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Pikering Educational Resources LibraryBorrow it
    2 Silber Way, Boston, MA, 02215, US
    42.349804 -71.101425
  • School of Theology LibraryBorrow it
    745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350494 -71.107235
  • Science & Engineering LibraryBorrow it
    38 Cummington Mall, Boston, MA, 02215, US
    42.348472 -71.102257
  • Stone Science LibraryBorrow it
    675 Commonwealth Avenue, Boston, MA, 02445, US
    42.350103 -71.103784
Processing Feedback ...