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The Resource Vladimir I. Arnold  Collected Works : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 19651972, 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 19651972, by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro, (electronic resource)
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The item Vladimir I. Arnold  Collected Works : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 19651972, by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Vladimir I. Arnold  Collected Works : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 19651972, by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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
 Language
 eng
 Extent
 XIII, 465 p. 20 illus.
 Contents

 1 Variational principle for threedimensional steadystate 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 nonlinear stability of stationary plane curvilinear flows of an ideal fluid
 5 On the topology of threedimensional steady flows of an ideal fluid
 6 On an a priori estimate in the theory of hydrodynamical stability
 7 On the differential geometry of infinitedimensional 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 nonlinear 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 Onedimensional cohomologies of the Lie algebras of nondivergence 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 fourdimensional smooth manifolds and the arithmetic of integer valued quadratic forms
 29 Versal families and bifurcations of differential equations (in Russian)
 30 Notes on the threedimensional 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 largescale structure of the universe I. General properties. One and twodimensional models
 37 Elements of the largescale structure of the universe
 38 Some remarks on the antidynamo theorem
 39 Steadystate 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 threedimensional 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
 Isbn
 9783642310317
 Label
 Vladimir I. Arnold  Collected Works : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 19651972
 Title
 Vladimir I. Arnold  Collected Works
 Title remainder
 Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 19651972
 Statement of responsibility
 by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro
 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
 http://library.link/vocab/creatorName
 Arnold, Vladimir I
 Image bit depth
 0
 LC call number
 QC19.220.85
 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 19651972, by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro, (electronic resource)
 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 threedimensional steadystate 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 nonlinear stability of stationary plane curvilinear flows of an ideal fluid  5 On the topology of threedimensional steady flows of an ideal fluid  6 On an a priori estimate in the theory of hydrodynamical stability  7 On the differential geometry of infinitedimensional 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 nonlinear 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 Onedimensional cohomologies of the Lie algebras of nondivergence 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 fourdimensional smooth manifolds and the arithmetic of integer valued quadratic forms  29 Versal families and bifurcations of differential equations (in Russian)  30 Notes on the threedimensional 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 largescale structure of the universe I. General properties. One and twodimensional models  37 Elements of the largescale structure of the universe  38 Some remarks on the antidynamo theorem  39 Steadystate 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 threedimensional 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
 10.1007/9783642310317
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642310317
 Label
 Vladimir I. Arnold  Collected Works : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 19651972, by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro, (electronic resource)
 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 threedimensional steadystate 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 nonlinear stability of stationary plane curvilinear flows of an ideal fluid  5 On the topology of threedimensional steady flows of an ideal fluid  6 On an a priori estimate in the theory of hydrodynamical stability  7 On the differential geometry of infinitedimensional 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 nonlinear 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 Onedimensional cohomologies of the Lie algebras of nondivergence 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 fourdimensional smooth manifolds and the arithmetic of integer valued quadratic forms  29 Versal families and bifurcations of differential equations (in Russian)  30 Notes on the threedimensional 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 largescale structure of the universe I. General properties. One and twodimensional models  37 Elements of the largescale structure of the universe  38 Some remarks on the antidynamo theorem  39 Steadystate 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 threedimensional 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
 10.1007/9783642310317
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642310317
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/VladimirI.ArnoldCollectedWorks/VrYrasmq25Y/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/VladimirI.ArnoldCollectedWorks/VrYrasmq25Y/">Vladimir I. Arnold  Collected Works : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 19651972, by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>