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| Preface Preface to the second edition Part I NEWTONIAN MECHANICS Chapter 1 Experimental facts 1. The principles of relativity and determinacy 2. The galilean group and Newton''s equations 3. Examples of mechanical systems Chapter 2 Investigation of the equations of motion 4. Systems with one degree of freedom 5. Systems with two degrees of freedom 6. Conservative force fields 7. Angular momentum 8. Investigation of motion in a central field 9. The motion of a point in three-space 10. Motions of a system of n points 11. The method of similarity Part II LAGRANGIAN MECHANICS Chapter 3 Variational principles 12. Calculus of variations 13. Lagrange''s equations 14. Legendre transformations 15. Hamilton''s equations 16. Liouville''s theorem Chapter 4 Lagrangian mechanics on manifolds 17. Holonomic constraints 18. Differentiable manifolds 19. Lagrangian dynamical systems 20. E. Noether''s theorem 21. D''Alembert''s principle Chapter 5 Oscillations 22. Lin |
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