Mechanical Systems, Classical Models [electronic resource] : Volume III: Analytical Mechanics / by Petre P. Teodorescu.

Lagrangian Mechanics -- Hamiltonian Mechanics -- Variational Principles. Canonical Transformations -- Other Considerations on Analytical Methods in Dynamics of Discrete Mechanical Systems -- Dynamics of Non-holonomic Mechanical Systems -- Stability and Vibrations -- Dynamical Systems. Catastrophes and Chaos.

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.