Title:
Classical mechanics : an undergraduate text / Douglas Gregory.
Author:
Gregory, R. Douglas.
General Notes:
Includes bibliographical references and index(p. 591-596).
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.
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.
Publisher:
Cambridge University,
Publication Place:
Cambridge :
ISBN:
9780521826785 (cased)
9780521534093 (pbk.)
0521826780 (cased)
0521534097 (pbk.)
Subject:
Mechanics.
Mécanique.
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.
Physical Description:
xii, 596 p. : ill. ;
Electronic Location:
http://site.ebrary.com/id/10129215
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=304460
http://public.eblib.com/EBLPublic/PublicView.do?ptiID=255140
http://www.myilibrary.com?id=239468
http://www.books24x7.com/marc.asp?bookid=13725
http://catdir.loc.gov/catdir/enhancements/fy0665/2006280036-d.html
http://catdir.loc.gov/catdir/enhancements/fy0665/2006280036-t.html
http://catdir.loc.gov/catdir/enhancements/fy0732/2006280036-b.html
Publication Date:
2006.
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