Description |
1 online resource (xii, 596 pages) : illustrations |
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 |
Summary |
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 |
Bibliography |
Includes bibliographical references (pages 589-590) and index |
Notes |
English |
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Print version record |
Subject |
Mechanics.
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Mechanics
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mechanics (physics)
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SCIENCE -- Mechanics -- General.
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SCIENCE -- Mechanics -- Solids.
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Mechanics
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Mechanik
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Genre/Form |
Lehrbuch.
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Form |
Electronic book
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ISBN |
0511160976 |
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9780511160974 |
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0511160402 |
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9780511160400 |
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9780511161704 |
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0511161700 |
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9780511803789 |
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0511803788 |
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1139637061 |
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9781139637060 |
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1107147026 |
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9781107147027 |
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1282394681 |
|
9781282394681 |
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0511644264 |
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9780511644269 |
|
9786612394683 |
|
6612394684 |
|
0511566417 |
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9780511566417 |
|