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BK

Third edition

Amsterdam ; Boston : Elsevier Butterworth-Heinemann, 2011

xxvii, 170 stran : ilustrace, 1 portrét ; 25 cm

ISBN 978-0-7506-2896-9 (brožováno)

ruština

Přeloženo z ruštiny

Reprint vydání z roku 1976 (Oxford ; New York : Pergamon Press)

001462695

CONTENTS // Preface to the third English edition vii // L.D. Landau—a biography ix // I. THE EQUATIONS OF MOTION // §1. Generalised co-ordinates 1 // §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 13 // §7. Momentum 15 // §8. Centre of mass 16 // §9. Angular momentum 18 // §10. Mechanical similarity 22 // III. INTEGRATION OF THE EQUATIONS OF MOTION // §11. Motion in one dimension 25 // §12. Determination of the potential energy from the period of // oscillation 27 // §13. The reduced mass 29 // §14. Motion in a central field 30 // §15. Kepler’s problem 35 // IV. COLLISIONS BETWEEN PARTICLES // §16. Disintegration of particles 41 // §17. Elastic collisions 44 // §18. Scattering 48 // §19. Rutherford’s formula 53 // §20. Small-angle scattering 55 // CS v© 00 // VI // Contents // V. SMALL OSCILLATIONS // Page // §21. Free oscillations in one dimension 58 // §22. Forced oscillations 61 // §23. Oscillations of systems with more than one degree of freedom 65 // §24. Vibrations of molecules 70 // §25. Damped oscillations 74 // §26. Forced oscillations under friction 77 // §27. Parametric resonance 80 // §28. Anharmonic oscillations 84 // §29. Resonance in non-linear oscillations 87 // §30. Motion in a rapidly oscillating field 93 // VI. MOTION OF A RIGID BODY // §31. Angular velocity 96 // §32. The inertia

tensor 98 // §33. Angular momentum of a rigid body 105 // §34. The equations of motion of a rigid body 107 // §35. Eulerian angles 110 // §36. Euler’s equations 114 // §37. The asymmetrical top 116 // §38. Rigid bodies in contact 122 // §39. Motion in a non-inertial frame of reference 126 // VII. THE CANONICAL EQUATIONS // §40. Hamilton’s equations 131 // §41. The Routhian 133 // §42. Poisson brackets 135 // §43. The action as a function of the co-ordinates 138 // §44. Maupertuis’ principle 140 // §45. Canonical transformations 143 // §46. Liouville’s theorem 146 // §47. The Hamilton-Jacobi equation 147 // §48. Separation of the variables 149 // §49. Adiabatic invariants 154 // §50. Canonical variables 157 // §51. Accuracy of conservation of the adiabatic invariant 159 // §52. Conditionally periodic motion 162 // Index 167