Vladimir I. Arnold - Collected Works Representations of Functions, Celestial Mechanics, and KAM Theory 1957-1965 /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Arnold, Vladimir I. (Autor)
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Givental, Alexander B. (Editor ), Khesin, Boris (Editor ), Marsden, Jerrold E. (Editor ), Varchenko, Alexander N. (Editor ), Vassiliev, Victor A. (Editor ), Viro, Oleg (Editor ), Zakalyukin, Vladimir (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Vladimir I. Arnold - Collected Works ; 1
Temas:
Differential equations.
Algebra.
Mathematical physics.
Functions of real variables.
Differential Equations.
Theoretical, Mathematical and Computational Physics.
Real Functions.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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