Mechanical Systems, Classical Models: Volume III: Analytical Mechanics

Prof. Dr. Petre P. Teodorescu (auth.)9048127637, 9789048127634

This third volume completes the Work Mechanical Systems, Classical Models. The first two volumes dealt with particle dynamics and with discrete and continuous mechanical systems. The present volume studies analytical mechanics. Topics like Lagrangian and Hamiltonian mechanics, the Hamilton-Jacobi method, and a study of systems with separate variables are thoroughly discussed. Also included are variational principles and canonical transformations, integral invariants and exterior differential calculus, and particular attention is given to non-holonomic mechanical systems.
The author explains in detail all important aspects of the science of mechanics, regarded as a natural science, and shows how they are useful in understanding important natural phenomena and solving problems of interest in applied and engineering sciences.
Professor Teodorescu has spent more than fifty years as a Professor of Mechanics at the University of Bucharest and this book relies on the extensive literature on the subject as well as the author’s original contributions.

Audience: scientists and researchers in applied mathematics, physics and engineering.

Table of contents :
Front Matter….Pages I-X
Lagrangian Mechanics….Pages 1-114
Hamiltonian Mechanics….Pages 115-212
Variational Principles. Canonical Transformations….Pages 213-333
Other Considerations on Analytical Methods in Dynamics of Discrete Mechanical Systems….Pages 335-410
Dynamics of Non-holonomic Mechanical Systems….Pages 411-504
Stability and Vibrations….Pages 505-628
Dynamical Systems. Catastrophes and Chaos….Pages 629-738
Back Matter….Pages 739-772