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Devoted to the foundation of mechanics, namely classical Newtonian mechanics, the subject is based mainly on Galileo's principle of relativity and Hamilton's principle of least action. The exposition is simple and leads to the most complete direct means of solving problems in mechanics. The final sections on adiabatic invariants have been revised and augmented. In addition a short biography of L D Landau has been inserted.
Content:-
Preface
1. The equations Of Motion
1.Generalized co-ordination
2. The Principle of least action
3.Galileo's relativity principle
4. The Lagrangian for a free particle
5. The Lagrangian for a system of particles
2. Conversation Laws
6. Energy
7. Momentum
8. Centre of mass
9. Angular Momentum
10. Mechanical similarity
3.Integration Of The Equations Of Motion
11. Motion in one dimension
12. Determination of the potential energy from the period of oscillation
13. The reduced mass
14. Motion in a Central field
15. Kepler's problem
4. Collisions Between Particles
16. Disintegration of particles
17. Elastic collisions
18. Scattering
19. Rutherford's Formula
20. Small-angel scattering
5. Small Oscillations
21. Free oscillations in one dimension
22. Forced oscillations
23. oscillations of systems with more then one degree of freedom
24. Vibrations of molecules
25. Damped oscillations
26. Forced oscillations under friction
27. Parametric reasonens
28. Anharmonic oscillations
29. Resonance in non-linear oscillations
30. Motion in a rapidly oscillation field
6. Motion Of A Rigid Body
31. Angular Velocity
32. The inertia tensor
33. Angular momentum of a rigid body
34. The equations of motion of a rigid body
35. Eulerian angles
36. Euler's equations
37. The asymmetrical top
38. Rigid bodies in contact
39. Motion in a non-inertial frame f reference
7. The Canonical Equations
40. Hamilton's equations
41. The Routhian
42. Poisson brackets
43. The action as a function of the co-ordinates
44. Maupertuis' principle
45. Canonical transformations
46. Liouville's theorem
47. The Hamilton-Jacobi equation
48. Separation of the variables
49. Adiabatic invariants
50. General properties of motion in dimensions
Index
Author Details
"L.D. Landau"
"E.M. Lifshitz"
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