Introduction to Dynamics

A thorough and logically fluent textbook on elementary dynamics, primarily intended for first-year Mathematics undergraduates.

Pars (Author)

9780521089845, Cambridge University Press

Paperback / softback, published 6 November 2008

524 pages
21.6 x 14 x 3 cm, 0.66 kg

A thorough and logically fluent textbook on elementary dynamics, primarily intended for first-year Mathematics undergraduates. A basic knowledge of calculus and elementary statics is required, though no previous knowledge of dynamics is assumed. Pars, a former lecturer in Mathematics at Cambridge, also provides an introductory grounding in ideas that will recur throughout the book, such as vectors and the fundamentals of Newtonian mechanics. Included in the text are a number of worked examples to illustrate the application of the theory to concrete problems, and exercises for practice at the ends of the chapters.

1. Scalar Quantities and Vector Quantities
2. Vector Algebra and Vector Calculus
3. The Fundamental Ideas of Newtonian Mechanics
4. Motion on a Straight Line, the Simplest Problems
5. Motion on a Straight Line, the Field of Force
6. The General Theory of Motion in a Field of Force
7. Motion on a Straight Line, the Remaining Problems
8. Motion of Two Particulars on a Straight Line
Impulses
9. Variable Mass
10. Motion of a Particle in a Plane
11. The Conservative Field
Constrained Motion
12. Free Motion in a Conservative Field, Accessibility and the Theory of Projectiles
13. Central Orbits
14. The Inverse-Square Law
15. The General Theory of Central Orbits
16. Other Problems on the Motion of a Particle in a Plane
17. Motion of Two Particles in a Plane, Collisions
18. Motion of a Lamina in its Plane
19. Forces on a Rigid Body
20. Motion about a Fixed Axis
21. Motion of a Rigid Body in a Plane
22. Impulsive Motion of a Rigid Body
23. Motion of a System
24. The Momentum of a System
25. Impulsive Motion of a System
26. Dimensions.

Subject Areas: Mathematics [PB]