---
title: Mechanics
subtitle: |
    Course of Theoretical Physics, Volume 1  
    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)

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](15-keplers-problem.html)
IV.  COLLISION BETWEEN PARTICLES
16. [Disintegration of particles](16-disintegration-of-particles.html)
17. [Elastic collisions](17-elastic-collisions.html)

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🚧 WORK IN PROGRESS BELOW THIS POINT 🚧
</span>

18. [Scattering](18-scattering.html)
19. [Rutherford's formula](19-rutherfords-formula.html)
20. [Small-angle scattering](20-small-angle-scattering.html)
V.  SMALL OSCILLATIONS
21. [Free oscillations in one dimension](21-free-oscillations-in-one-dimension.html)
22. [Forced oscillations](22-forced-oscillations.html)
23. [Oscillations of systems with more than one degree of freedom](23-oscillations-of-systems-with-more-than-one-degree-of-freedom.html)
24. [Vibrations of molecules](24-vibrations-of-molecules.html)
25. [Damped oscillations](25-damped-oscillations.html)
26. [Forced oscillations under friction](26-forced-oscillations-under-friction.html)
27. [Parametric resonance](27-parametric-resonance.html)
28. [Anharmonic oscillations](28-anharmonic-oscillations.html)
29. [Resonance in non-linear oscillations](29-resonance-in-non-linear-oscillations.html)
30. [Motion in a rapidly oscillating field](30-motion-in-a-rapidly-oscillating-field.html)
VI.  MOTION OF A RIGID BODY
31. [Angular velocity](31-angular-velocity.html)
32. [The inertia tensor](32-the-inertia-tensor.html)
33. [Angular momentum of a rigid body](33-angular-momentum-of-a-rigid-body.html)
34. [The equations of motion of a rigid body](34-the-equations-of-motion-of-a-rigid-body.html)
35. [Eulerian angles](35-eulerian-angles.html)
36. [Euler's equations](36-eulers-equations.html)
37. [The asymmetrical top](37-the-asymmetrical-top.html)
38. [Rigid bodies in contact](38-rigid-bodies-in-contact.html)
39. [Motion in a non-inertial frame of reference](39-motion-in-a-non-inertial-frame-of-reference.html)
VII.  THE CANONICAL EQUATIONS
40. [Hamilton's equations](40-hamiltons-equations.html)
41. [The Routhian](41-the-routhian.html)
42. [Poisson brackets](42-poisson-brackets.html)
43. [The action as a function of the co-ordinates](43-the-actions-as-a-function-of-the-co-ordinates.html)
44. [Maupertuis' principle](44-maupertuis-principle.html)
45. [Canonical transformations](45-canonical-transformations.html)
46. [Liouville's theorem](46-louivilles-theorem.html)
47. [The Hamilton-Jacobi equation](47-the-hamilton-jacobi-equations.html)
48. [Separation of the variables](48-separation-of-the-variables.html)
49. [Adiabatic invariants](49-adiabatic-invariants.html)
50. [General properties of motion in `s` dimensions](50-general-properties-of-motion-in-s-dimensions.html)