THIS book continues the series of English translations of the revised and augmented volumes in the Course of Theoretical Physics, which have been appearing in Russian since 1973.The English translations of volumes 2 (Classical Theory of Fields) and 3 (Quantum Mechanics) will shortly both have been published.Unlike those two, the present volume 1 has not required any considerable revision, as is to be expected in such a well- established branch of theoretical physics as mechanics is.Only the final sections, on adiabatic invariants, have been revised by L.P.Pitaevskil and myself.

Preface to the third English edition .
L.D. Landau—a biography
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. INTEGIRATION 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 OS ILLATIONS
　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
Indx