Classical Mechanics

R. Douglas Gregory (University of Manchester)

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English

Cambridge University Press
13 April 2006

Mathematics & Sciences; Calculus & mathematical analysis

Mechanics is the study of the motion of physical objects. As such, the subject finds its applications in all areas of physics and engineering. This book provides a complete guide to mechanics, necessary for any applied mathematics student. The author has written a detailed account of classical analytical mechanics that will appeal to the modern student aided by his years of experience as a lecturer in the subject. Topics covered include Newton's, Lagrange's and Hamilton's equations of motion, kinematics, oscillation, particle mechanics and rigid body motion in two and three dimensions. A thorough understanding of the theory is provided by supporting the classical laws of motion with plenty of relevant examples and case studies. Matlab code is also used to illustrate key ideas and solutions to exercises are available to lecturers and course instructors. Solutions to exercices are available from the Web.

By: R. Douglas Gregory (University of Manchester)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 249mm, Width: 174mm, Spine: 28mm
Weight: 1.196kg
ISBN: 9780521534093
ISBN 10: 0521534097
Publication Date: 13 April 2006
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

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; Bibliography; Index.

Reviews for Classical Mechanics

'The writing here is a picture of clarity and directness ... The exercises include plenty of interesting and challenging problems ... an attractive and well-written exposition of classical mechanics. I wish it had been my textbook when I was a student.' Mathematical Association of America