000			01882nam a2200205Ia 4500
999			_c151178 _d151178
020			_a9780387968902
020			_a0387968903
040			_cCUS
082			_a531.01515 _bARN/M
100			_aArnold, V.I. _922747
245		0	_aMathematical methods of classical mechanics/ _cV.I. Arnold.
260			_aNew York: _bSpringer, _c1978.
300			_aix, 516 p. : _bill. ; _c25 cm.
440			_aGraduate texts in mathematics, 60. _922748
505			_aI Newtonian Mechanics.- 1 Experimental facts.- 2 Investigation of the equations of motion.- II Lagrangian Mechanics.- 3 Variational principles.- 4 Lagrangian mechanics on manifolds.- 5 Oscillations.- 6 Rigid bodies.- III Hamiltonian Mechanics.- 7 Differential forms.- 8 Symplectic manifolds.- 9 Canonical formalism.- 10 Introduction to perturbation theory.- Appendix 1 Riemannian curvature.- Appendix 2 Geodesics of left-invariant metrics on Lie groups and the hydrodynamics of ideal fluids.- Appendix 3 Symplectic structures on algebraic manifolds.- Appendix 4 Contact structures.- Appendix 5 Dynamical systems with symmetries.- Appendix 6 Normal forms of quadratic hamiltonians.- Appendix 7 Normal forms of hamiltonian systems near stationary points and closed trajectories.- Appendix 8 Theory of perturbations of conditionally periodic motion, and Kolmogorov's theorem.- Appendix 9 Poincare's geometric theorem, its generalizations and applications.- Appendix 10 Multiplicities of characteristic frequencies, and ellipsoids depending on parameters.- Appendix 11 Short wave asymptotics.- Appendix 12 Lagrangian singularities.- Appendix 13 The Korteweg-de Vries equation.- Appendix 14 Poisson structures.- Appendix 15 On elliptic coordinates.- Appendix 16 Singularities of ray systems.
650			_aMechanics, Analytic _915922
650			_aMathematics _95075
650			_aGlobal analysis (Mathematics) _922749
942			_cSC79 _03