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|a Gregory, R. Douglas.
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|a Classical mechanics :
|b an undergraduate text /
|c R. Douglas Gregory.
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|a Cambridge, UK ;
|a New York :
|b Cambridge University Press,
|c 2006.
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|a 1 online resource (xii, 596 pages) :
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|a Includes bibliographical references (pages 589-590) and index.
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|a 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.
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|a This text provides a complete guide to mechanics, necessary for any applied mathematics student. Gregory has written a detailed account of classical analytical mechanics that will appeal to the modern student.
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|i Print version:
|a Gregory, R. Douglas.
|t Classical mechanics.
|d Cambridge, UK ; New York : Cambridge University Press, 2006
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