Coverart for item
The Resource Vladimir I. Arnold : Collected Works, Volume II, 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

Vladimir I. Arnold : Collected Works, Volume II, 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

Label
Vladimir I. Arnold : Collected Works, Volume II, Hydrodynamics, bifurcation theory, and algebraic geometry, 1965-1972
Title
Vladimir I. Arnold
Title remainder
Collected Works
Title number
Volume II
Title part
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
Title variation
Hydrodynamics, bifurcation theory, and algebraic geometry, 1965-1972
Creator
Contributor
Author
Editor
Subject
Genre
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
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1937-2010
http://library.link/vocab/creatorName
Arnolʹd, V. I.
Dewey number
510
Illustrations
illustrations
Index
no index present
LC call number
QA39.3
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Givental, Alexander
http://library.link/vocab/subjectName
  • Mathematics
  • Hydrodynamics
  • Bifurcation theory
  • Geometry, Algebraic
  • Hydrodynamics
  • Mathematical Concepts
  • Bifurcation theory
  • Geometry, Algebraic
  • Hydrodynamics
  • Mathematics
Label
Vladimir I. Arnold : Collected Works, Volume II, 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
Instantiates
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
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
Control code
871679941
Dimensions
unknown
Extent
1 online resource (xiii, 465 pages)
File format
unknown
Form of item
online
Isbn
9783642310317
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-31031-7
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)871679941
Label
Vladimir I. Arnold : Collected Works, Volume II, 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
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
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
Control code
871679941
Dimensions
unknown
Extent
1 online resource (xiii, 465 pages)
File format
unknown
Form of item
online
Isbn
9783642310317
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-31031-7
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)871679941

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