目錄
Foreword by Sir William McCrea, FRS
Preface to the fourth edition
CHAPTER I KINEMAT[CA L PRELIMINARIES
SECTION
I. The displacements of rigid bodies
2. Euler's theorem on rotations about a point
3. The theorem of Rodrigues and HamiJton.
4. The coloposition of equal and opposite rotations about parallel axes
5. Chasles' theorem on the most general displacement of a rigid body.
6. Halphen's theorem on the composition of two general displacements
7. Analytic representation of a displacement
8. The composition of small rotations.
9. Euler's parametric specification of rotations round a point
10. The Eulcrian angles.
11. Connexion of the Eulorian angles with the parameters $1n,$~,x
12. The connexion of rotations with homographies: the Cayley-Klein paramctcrs
13. Voctors
14. Volocity and acceleration ; their vectorial character.
15. Angular velocity ; its vectorial character.
16. Determination of the components of angular velocity of a system in terms of
the Eulerian angles, and of the symmetrical parameters
17. Time-flux of a vector whose components relative to moving axes are given
18. Special resolutions of the velocity and acceleration.
MISCELLANEOUS EXAMPLES
CHAPTER II THE EQUATIONS OF MOTION
19. The ideas of rest and motion
20. The laws which determine motion
21. Force
22. Work
23. Foroes which do no work.
24. The coordinates of a dynamical system
25. Holonomic and noa-holonomic systems
CHAPTER III PRINCIPLES AVAILABLE FOR THE INTEGRATION
CHAPTER IV THE SOLUBLE PROBLEMS OF PARTICLE DYNAMICS
CHAPTER V THE DYNAMICAL SPECIFICATION OF BODIES
CHAPTER VI THE SOLUBLE PROBLEMS OF RIGID DYNAMICS
CHAPTER VII THEORY OF VIBRATIONS
CHAPTER VIII NON-HOLONOMIC SYSTEMS DISSIPATIVE SYSTEMS
CHAPTER IX THE PRINCIPLES OF LEAST ACTION AND LEAST CURVATURE
CHATPER X HAMILTONIAN SYSTEMS AND THEIR INTEGRAL-INVARIANTS
CHAPTER XI THE TRANSFORMATION THEORY OF DYNAMICS
CHAPTER XII PROPERTIES OF THE INTEGRALS OF DYNAMICAL SYSTEMS
CHAPTER XIII THE REDUCTION OF THE PROBLEM OF THREE BODIES
CHAPTER XIV THE THEOREMS OF BRUNS AND POINCARE
CHAPTER XV THE GENERAL THEORY OF ORBITS
CHAPTER XVI INTEGRATION BY SERIES
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