Mathematical methods of classical mechanics/ V.I. Arnold.
Material type: TextSeries: Graduate texts in mathematics, 60Publication details: New York: Springer, 1978Description: ix, 516 p. : ill. ; 25 cmISBN: 9780387968902; 0387968903Subject(s): Mechanics, Analytic | Mathematics | Global analysis (Mathematics)DDC classification: 531.01515Item type | Current library | Call number | Status | Notes | Date due | Barcode | Item holds |
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General Books Science Library | Science Library, Sikkim University Science Library General Section | 531.01515 ARN/M (Browse shelf(Opens below)) | Checked out | Books For SU Science Library | 14/11/2024 | P05850 |
I 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.
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