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020 _a9783642017421
_99783642017421
024 7 _a10.1007/9783642017421
_2doi
035 _avtls000353158
039 9 _a201509030522
_bVLOAD
_c201405060316
_dVLOAD
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_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA370-380
100 1 _aArnold, Vladimir I.
_eautor
_9331502
245 1 0 _aCollected Works :
_bRepresentations of Functions, Celestial Mechanics and KAM Theory, 1957–1965 /
_cby Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro, Vladimir M. Zakalyukin.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2009.
300 _brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aVladimir I. Arnold - Collected Works ;
_v1
500 _aSpringer eBooks
505 0 _aOn 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.
520 _aVladimir Arnold is 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 first volume of his Collected Works focuses on representations of functions, celestial mechanics, and KAM theory.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aGivental, Alexander B.
_eeditor.
_9336415
700 1 _aKhesin, Boris A.
_eeditor.
_9336416
700 1 _aMarsden, Jerrold E.
_eeditor.
_9160207
700 1 _aVarchenko, Alexander N.
_eeditor.
_9336417
700 1 _aVassiliev, Victor A.
_eeditor.
_9336418
700 1 _aViro, Oleg Ya.
_eeditor.
_9336419
700 1 _aZakalyukin, Vladimir M.
_eeditor.
_9336420
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9783642017414
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-642-01742-1
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999 _c299469
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