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＜電子ブック＞
Vladimir I. Arnold - Collected Works : Representations of Functions, Celestial Mechanics, and KAM Theory 1957-1965 / by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Viro, Vladimir Zakalyukin
(Vladimir I. Arnold - Collected Works ; 1)

版	1st ed. 2009.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	XIII, 487 p : online resource
著者標目	*Arnold, Vladimir I author 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 SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Algebra LCSH:Mathematical physics LCSH:Functions of real variables FREE:Differential Equations FREE:Algebra FREE:Theoretical, Mathematical and Computational Physics FREE:Real Functions
一般注記	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 sphereand 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 HTTP:URL=https://doi.org/10.1007/978-3-642-01742-1

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