Introduction to Dynamics [Paperback]

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