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Classical mechanics : an undergraduate text /
This text provides a complete guide to mechanics, necessary for any applied mathematics student. Gregory has written a detailed account of classical analytical mechanics that will appeal to the modern student.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2006.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Part I. Newtonian mechanics of a single particle
- 1. The algebra and calculus of vectors
- 2. Velocity, acceleration and scalar angular velocity
- 3. Newton's laws of motion and the law of gravitation
- 4. Problems in particle dynamics
- 5. Linear oscillations
- 6. Energy conservation
- 7. Orbits in a central field
- 8. Non-linear oscillations and phase space
- Part II. Multi-particle Systems
- 9. The energy principle
- 10. The linear momentum principle
- 11. The angular momentum principle
- Part III. Analytical mechanics
- 12. Lagrange's equations and conservation principle
- 13. The calculus of variations and Hamilton's principle
- 14. Hamilton's equations and phase space
- Part IV. Further Topics
- 15. The general theory of small oscillations
- 16. Vector angular velocity and rigid body kinematics
- 17. Rotating reference frames
- 18. Tensor algebra and the inertia tensor
- 19. Problems in rigid body dynamics
- Appendix. Centres of mass and moments of inertia
- Answers to the problems.