Classical mechanics : an undergraduate text [E-Book] / Douglas Gregory.
Gregory, R. Douglas, (author)
Cambridge : Cambridge University Press, 2006
1 online resource (xii, 596 pages)
englisch
9780521534093
9780521826785
9780511803789
Full Text
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.