Mathematical Methods of Classical Mechanics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1989
|
| Edition: | Second Edition |
| Series: | Graduate Texts in Mathematics
60 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance |
| Physical Description: | 1 Online-Ressource (XVI, 520 p) |
| ISBN: | 9781475720631 9781441930873 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4757-2063-1 |
Staff View
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781475720631 9781441930873 |
| issn | 0072-5285 |
| language | English |
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| physical | 1 Online-Ressource (XVI, 520 p) |
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| publishDate | 1989 |
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| publisher | Springer New York |
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| series2 | Graduate Texts in Mathematics |
| spelling | Arnold, V. I. Verfasser aut Mathematical Methods of Classical Mechanics by V. I. Arnold Second Edition New York, NY Springer New York 1989 1 Online-Ressource (XVI, 520 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 60 0072-5285 In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mechanik (DE-588)4038168-7 gnd rswk-swf Theoretische Mechanik (DE-588)4185100-6 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Mechanik (DE-588)4038168-7 s Mathematische Methode (DE-588)4155620-3 s 1\p DE-604 Mathematik (DE-588)4037944-9 s 2\p DE-604 Theoretische Mechanik (DE-588)4185100-6 s Mathematische Physik (DE-588)4037952-8 s 3\p DE-604 https://doi.org/10.1007/978-1-4757-2063-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Arnold, V. I. Mathematical Methods of Classical Mechanics Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Mathematische Methode (DE-588)4155620-3 gnd Mathematik (DE-588)4037944-9 gnd Mechanik (DE-588)4038168-7 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4155620-3 (DE-588)4037944-9 (DE-588)4038168-7 (DE-588)4185100-6 (DE-588)4037952-8 |
| title | Mathematical Methods of Classical Mechanics |
| title_auth | Mathematical Methods of Classical Mechanics |
| title_exact_search | Mathematical Methods of Classical Mechanics |
| title_full | Mathematical Methods of Classical Mechanics by V. I. Arnold |
| title_fullStr | Mathematical Methods of Classical Mechanics by V. I. Arnold |
| title_full_unstemmed | Mathematical Methods of Classical Mechanics by V. I. Arnold |
| title_short | Mathematical Methods of Classical Mechanics |
| title_sort | mathematical methods of classical mechanics |
| topic | Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Mathematische Methode (DE-588)4155620-3 gnd Mathematik (DE-588)4037944-9 gnd Mechanik (DE-588)4038168-7 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Mathematische Methode Mechanik Theoretische Mechanik Mathematische Physik |
| url | https://doi.org/10.1007/978-1-4757-2063-1 |
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