Coverart for item
The Resource Collected Works, Volume I, Representations of functions, celestial mechanics and KAM Theory, 1957-1965, Vladimir I. Arnold ; edited by Alexander B. Givental [and others]

Collected Works, Volume I, Representations of functions, celestial mechanics and KAM Theory, 1957-1965, Vladimir I. Arnold ; edited by Alexander B. Givental [and others]

Label
Collected Works, Volume I, Representations of functions, celestial mechanics and KAM Theory, 1957-1965
Title
Collected Works
Title number
Volume I
Title part
Representations of functions, celestial mechanics and KAM Theory, 1957-1965
Statement of responsibility
Vladimir I. Arnold ; edited by Alexander B. Givental [and others]
Title variation
Representations of functions, celestial mechanics and KAM Theory, 1957-1965
Creator
Contributor
Subject
Language
  • eng
  • rus
  • eng
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
Language note
In English and Russian;
LC call number
QA39
LC item number
.A766eb vol. 1
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://bibfra.me/vocab/marc/notation
(Cyrillic)
http://library.link/vocab/relatedWorkOrContributorName
Givental, Alexander
http://library.link/vocab/subjectName
  • Mathematics
  • Celestial mechanics
  • MATHEMATICS
  • MATHEMATICS
  • MATHEMATICS
  • Celestial mechanics
  • Mathematics
Label
Collected Works, Volume I, Representations of functions, celestial mechanics and KAM Theory, 1957-1965, Vladimir I. Arnold ; edited by Alexander B. Givental [and others]
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
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
On the representation of functions of two variables in the form ?[?(x) + ?(y)] -- On functions of three variables -- The mathematics workshop for schools at Moscow State University -- The school mathematics circle at Moscow State University: harmonic functions -- On the representation of functions of several variables as a superposition of functions of a smaller number of variables -- Representation of continuous functions of three variables by the superposition of continuous functions of two variables -- Some questions of approximation and representation of functions -- Kolmogorov seminar on selected questions of analysis -- On analytic maps of the circle onto itself -- Small denominators. I. Mapping of the circumference onto itself -- The stability of the equilibrium position of a Hamiltonian system of ordinary differential equations in the general elliptic case -- Generation of almost periodic motion from a family of periodic motions -- Some remarks on flows of line elements and frames -- A test for nomographic representability using Decartes' rectilinear abacus -- Remarks on winding numbers -- On the behavior of an adiabatic invariant under slow periodic variation of the Hamiltonian -- Small perturbations of the automorphisms of the torus -- The classical theory of perturbations and the problem of stability of planetary systems -- Letter to the editor -- Dynamical systems and group representations at the Stockholm Mathematics Congress -- Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian -- Small denominators and stability problems in classical and celestial mechanics -- Small denominators and problems of stability of motion in classical and celestial mechanics -- Uniform distribution of points on a sphere and some ergodic properties of solutions of linear ordinary differential equations in a complex region -- On a theorem of Liouville concerning integrable problems of dynamics -- Instability of dynamical systems with several degrees of freedom -- On the instability of dynamical systems with several degrees of freedom -- Errata to V.I. Arnol'd's paper: "Small denominators. I." -- Small denominators and the problem of stability in classical and celestial mechanics -- Stability and instability in classical mechanics -- Conditions for the applicability, and estimate of the error, of an averaging method for systems which pass through states of resonance in the course of their evolution -- On a topological property of globally canonical maps in classical mechanics
Control code
495479555
Dimensions
unknown
Extent
1 online resource (xiii, 487 pages)
File format
unknown
Form of item
online
Isbn
9783642017414
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)495479555
Label
Collected Works, Volume I, Representations of functions, celestial mechanics and KAM Theory, 1957-1965, Vladimir I. Arnold ; edited by Alexander B. Givental [and others]
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
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
On the representation of functions of two variables in the form ?[?(x) + ?(y)] -- On functions of three variables -- The mathematics workshop for schools at Moscow State University -- The school mathematics circle at Moscow State University: harmonic functions -- On the representation of functions of several variables as a superposition of functions of a smaller number of variables -- Representation of continuous functions of three variables by the superposition of continuous functions of two variables -- Some questions of approximation and representation of functions -- Kolmogorov seminar on selected questions of analysis -- On analytic maps of the circle onto itself -- Small denominators. I. Mapping of the circumference onto itself -- The stability of the equilibrium position of a Hamiltonian system of ordinary differential equations in the general elliptic case -- Generation of almost periodic motion from a family of periodic motions -- Some remarks on flows of line elements and frames -- A test for nomographic representability using Decartes' rectilinear abacus -- Remarks on winding numbers -- On the behavior of an adiabatic invariant under slow periodic variation of the Hamiltonian -- Small perturbations of the automorphisms of the torus -- The classical theory of perturbations and the problem of stability of planetary systems -- Letter to the editor -- Dynamical systems and group representations at the Stockholm Mathematics Congress -- Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian -- Small denominators and stability problems in classical and celestial mechanics -- Small denominators and problems of stability of motion in classical and celestial mechanics -- Uniform distribution of points on a sphere and some ergodic properties of solutions of linear ordinary differential equations in a complex region -- On a theorem of Liouville concerning integrable problems of dynamics -- Instability of dynamical systems with several degrees of freedom -- On the instability of dynamical systems with several degrees of freedom -- Errata to V.I. Arnol'd's paper: "Small denominators. I." -- Small denominators and the problem of stability in classical and celestial mechanics -- Stability and instability in classical mechanics -- Conditions for the applicability, and estimate of the error, of an averaging method for systems which pass through states of resonance in the course of their evolution -- On a topological property of globally canonical maps in classical mechanics
Control code
495479555
Dimensions
unknown
Extent
1 online resource (xiii, 487 pages)
File format
unknown
Form of item
online
Isbn
9783642017414
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)495479555

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