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.

Promotional Information

Gregory's Classical Mechanics is a major new textbook for undergraduate students in mathematics and physics.

About the Author

Douglas Gregory is Professor of Mathematics at the University of Manchester. He is a researcher of international standing in the field of elasticity, and has held visiting positions at New York University, the University of British Columbia, and the University of Washington. He is highly regarded as a teacher of applied mathematics: this, his first book, is the product of many years ' teaching experience.

Reviews

'The writing here is a picture of clarity and directness … The exercises include plenty of interesting and challenging problems … an attractive and well-written exposition of classical mechanics. I wish it had been my textbook when I was a student.' Mathematical Association of America