---
title: Mechanics
subtitle: |
    By L. D. Landau and E. M. Lifschitz  
    Translated from the Russian by J. B. Sykes and J. S. Bell
---
I.  THE EQUATIONS OF MOTION
1. [Generalized co-ordinates](1-generalized-co-ordinates.html)
2. [The principle of least action](2-the-principle-of-least-action.html)
3. [Galileos's relativity principle](3-galileos-relativity-principle.html)
4. [The Lagrangian for a free particle](4-the-lagrangian-for-a-free-particle.html)
5. [The Lagrangian for a system of particles](5-the-lagrangian-for-a-system-of-particles.html)
II.  CONSERVATION LAWS
6. [Energy](6-energy.html)
7. [Momentum](7-momentum.html)
8. [Centre of mass](8-centre-of-mass.html)
9. [Angular momentum](9-angular-momentum.html)
10. [Mechanical similarity](10-mechanical-similarity.html)


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III.  INTEGRATION OF THE EQUATIONS OF MOTION
11. [Motion in one dimension](11-motion-in-one-dimension.html)
12. [Determination of the potential energy from the period of oscillation](12-determination-of-the-potential-energy-from-the-period-of-oscillation.html)
13. [The reduced mass](13-the-reduced-mass.html)
14. [Motion in a central field](14-motion-in-a-central-field.html)
15. [Kepler's problem]()
IV.  COLLISION 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. General properties of motion in `s` dimensions