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Author Gregory, R. Douglas.
Title Classical mechanics [electronic resource] : an undergraduate text / R. Douglas Gregory.
Publication Info Cambridge ; New York : Cambridge University Press, 2006.


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Descript 1 online resource (xii, 596 p.) : ill.
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.
ISBN 9780511160400
9780511161704 (e-book)
0521826780 (hbk.)
0521534097 (pbk.)
9780511803789 (e-book)
0511803788 (e-book)
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Author Gregory, R. Douglas.
Subject Mechanics.
Descript 1 online resource (xii, 596 p.) : ill.
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.
ISBN 9780511160400
9780511161704 (e-book)
0521826780 (hbk.)
0521534097 (pbk.)
9780511803789 (e-book)
0511803788 (e-book)
Author Gregory, R. Douglas.
Subject Mechanics.

Subject Mechanics.
Descript 1 online resource (xii, 596 p.) : ill.
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.
ISBN 9780511160400
9780511161704 (e-book)
0521826780 (hbk.)
0521534097 (pbk.)
9780511803789 (e-book)
0511803788 (e-book)
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