This book comprises a set of lecture notes on rational mechanics, for part of the graduate physics curriculum, delivered by the late Prof. Shirley L. Quimby during his tenure at Columbia University, New York. The notes contain proofs of basic theorems, derivations of formulae and amplification of observations, as well as the presentation and solution of illustrative problems. Collateral readings from more than 50 source references are indicated at appropriate places in the text.
Contents:
- Kinematics of a Rigid Body
- Kinematics of a Particle
- Dynamics of Systems of Particles
- Dynamics of a System of Rigid Bodies
- Theory of Small Vibrations
- General Dynamical Systems
- Additional Principles of General Dynamical Systems
- The Hamiltonian Method in Dynamics
Readership: Engineers and physicists.
“A central feature of the book, rarely seen today, is the systematic avoidance of the methods of modern differential geometry and the theory of manifolds. It is hoped that numerous examples and expressive figures given in the text will enable mathematically inclined students to appreciate how geometrical ideas can be applied to mechanical problems.”
Mathematics Abstracts