Ⅰ.THE EQUATIONS OF MOTION

1.Generalised co-ordinates

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

Ⅱ.CONSERVATION LAWS

6.Energy

7.Momentum

8.Centre of mass

9.Angular momentum

10.Mechanical similarity

Ⅲ.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

Ⅳ.COLLISIONS BETWEEN PARTICLES

16.Disintegration of particles

17.Elastic collisions

18.Scattering

19.Rutherford’s formula

20.Small-angle scattering

Ⅴ.SMALL OSCILLATIONS

21. Free oscillations in one dimension

22.Forced oscillations

23.Oscillations of systems with more than one degree of freedom

24.Vibrations of molecules

25.Damped oscillations

26.Forced oscillations under friction

27.Parametric resonance

28.Anharmonic oscillations

29.Resonance in non-linear oscillations

30.Motion in a rapidly oscillating field

Ⅵ.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 of reference

Ⅶ.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.Canonical variables

51.Accuracy of conservation of the adiabatic invariant

52.Conditionally periodic motion

Index