Mathematical methods of classical mechanics/ (Record no. 151178)
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000 -LEADER | |
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fixed length control field | 01882nam a2200205Ia 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780387968902 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 0387968903 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | CUS |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 531.01515 |
Item number | ARN/M |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Arnold, V.I. |
245 #0 - TITLE STATEMENT | |
Title | Mathematical methods of classical mechanics/ |
Statement of responsibility, etc. | V.I. Arnold. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication, distribution, etc. | New York: |
Name of publisher, distributor, etc. | Springer, |
Date of publication, distribution, etc. | 1978. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | ix, 516 p. : |
Other physical details | ill. ; |
Dimensions | 25 cm. |
440 ## - SERIES | |
Title | Graduate texts in mathematics, 60. |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | 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. |
650 ## - SUBJECT | |
Keyword | Mechanics, Analytic |
650 ## - SUBJECT | |
Keyword | Mathematics |
650 ## - SUBJECT | |
Keyword | Global analysis (Mathematics) |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | General Books Science Library |
Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Date last checked out | Koha item type | Public note |
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Science Library, Sikkim University | Science Library, Sikkim University | Science Library General Section | 28/08/2016 | 531.01515 ARN/M | P05850 | 22/08/2024 | 22/08/2024 | General Books Science Library | Books For SU Science Library |