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|a 9783642017421
|9 978-3-642-01742-1
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|a 10.1007/978-3-642-01742-1
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|a Arnold, Vladimir I.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Vladimir I. Arnold - Collected Works
|h [electronic resource] :
|b Representations of Functions, Celestial Mechanics, and KAM Theory 1957-1965 /
|c by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Viro, Vladimir Zakalyukin.
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| 250 |
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|a 1st ed. 2009.
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| 264 |
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2009.
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| 300 |
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|a XIII, 487 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
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|a text file
|b PDF
|2 rda
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|a Vladimir I. Arnold - Collected Works ;
|v 1
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|a 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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| 650 |
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|a Differential equations.
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| 650 |
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|a Algebra.
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| 650 |
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|a Mathematical physics.
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| 650 |
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|a Functions of real variables.
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| 650 |
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|a Differential Equations.
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| 650 |
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4 |
|a Algebra.
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| 650 |
2 |
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|a Theoretical, Mathematical and Computational Physics.
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| 650 |
2 |
4 |
|a Real Functions.
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| 700 |
1 |
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|a Givental, Alexander B.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 700 |
1 |
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|a Khesin, Boris.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 700 |
1 |
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|a Marsden, Jerrold E.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 700 |
1 |
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|a Varchenko, Alexander N.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 700 |
1 |
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|a Vassiliev, Victor A.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 700 |
1 |
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|a Viro, Oleg.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 700 |
1 |
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|a Zakalyukin, Vladimir.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer Nature eBook
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| 776 |
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|i Printed edition:
|z 9783642017438
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| 776 |
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|i Printed edition:
|z 9783642017414
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| 776 |
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|i Printed edition:
|z 9783642261329
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| 830 |
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|a Vladimir I. Arnold - Collected Works ;
|v 1
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| 856 |
4 |
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|u https://doi.uam.elogim.com/10.1007/978-3-642-01742-1
|z Texto Completo
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| 912 |
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|a ZDB-2-SMA
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| 912 |
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|a ZDB-2-SXMS
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| 950 |
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|a Mathematics and Statistics (SpringerNature-11649)
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| 950 |
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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