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Tables of Contents for Mechanics
Chapter/Section Title
Page #
Page Count
Preface to the third English edition
vii
L. D. Landau---a biography
ix
I. THE EQUATIONS OF MOTION
Generalised co-ordinates
1
1
The principle of least action
2
2
Galileo's relativity principle
4
2
The Lagrangian for a free particle
6
2
The Lagrangian for a system of particles
8
5
II. CONSERVATION LAWS
Energy
13
2
Momentum
15
1
Centre of mass
16
2
Angular momentum
18
4
Mechanical similarity
22
3
III. INTEGRATION OF THE EQUATIONS OF MOTION
Motion in one dimension
25
2
Determination of the potential energy from the period of oscillation
27
2
The reduced mass
29
1
Motion in a central field
30
5
Kepler's problem
35
6
IV COLLISIONS BETWEEN PARTICLES
Disintegration of particles
41
3
Elastic collisions
44
4
Scattering
48
5
Rutherford's formula
53
2
Small-angle scattering
55
3
V. SMALL OSCILLATIONS
Free oscillations in one dimension
58
3
Forced oscillations
61
4
Oscillations of systems with more than one degree of freedom
65
5
Vibrations of molecules
70
4
Damped oscillations
74
3
Forced oscillations under friction
77
3
Parametric resonance
80
4
Anharmonic oscillations
84
3
Resonance in non-linear oscillations
87
6
Motion in a rapidly oscillating field
93
3
VI MOTION OF A RIGID BODY
Angular velocity
96
2
The inertia tensor
98
7
Angular momentum of a rigid body
105
2
The equations of motion of a rigid body
107
3
Eulerian angles
110
4
Euler's equations
114
2
The asymmetrical top
116
6
Rigid bodies in contact
122
4
Motion in a non-inertial frame of reference
126
5
VII. THE CANONICAL EQUATIONS
Hamilton's equations
131
2
The Routhian
133
2
Poisson brackets
135
3
The action as a function of the co-ordinates
138
2
Maupertuis' principle
140
3
Canonical transformations
143
3
Liouville's theorem
146
1
The Hamilton-Jacobi equation
147
2
Separation of the variables
149
5
Adiabatic invariants
154
3
Canonical variables
157
2
Accuracy of conservation of the adiabatic invariant
159
3
Conditionally periodic motion
162
5
Index
167