Classical Mechanics
International Student Edition

Table of Contents

Part I. Newtonian Mechanics of a Single Particle:
1. The algebra and calculus of vectors
2. Velocity, acceleration and scalar angular velocity
3. Newton's laws of motion and the law of gravitation
4. Problems in particle dynamics
5. Linear oscillations
6. Energy conservation
7. Orbits in a central field
8. Non-linear oscillations and phase space
Part II. Multi-particle Systems:
9. The energy principle
10. The linear momentum principle
11. The angular momentum principle
Part III. Analytical mechanics:
12. Lagrange's equations and conservation principle
13. The calculus of variations and Hamilton's principle
14. Hamilton's equations and phase space
Part IV. Further Topics:
15. The general theory of small oscillations
16. Vector angular velocity and rigid body kinematics
17. Rotating reference frames
18. Tensor algebra and the inertia tensor
19. Problems in rigid body dynamics
Appendix: centres of mass and moments of inertia
Answers to the problems
Bibliography
Index.