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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.

Dynamics of a particle -- Mathematical models. --- Mechanics -- Mathematical models. --- Applied Mathematics --- Applied Physics --- Engineering & Applied Sciences --- Mechanics --- Dynamics of a particle --- Mathematical models. --- Particle, Dynamics of a --- Classical mechanics --- Newtonian mechanics --- Physics. --- Applied mathematics. --- Engineering mathematics. --- Mechanics. --- Mathematical Methods in Physics. --- Applications of Mathematics. --- Physics --- Dynamics --- Quantum theory --- Mathematical physics. --- Mathematics. --- Classical Mechanics. --- Math --- Science --- Physical mathematics --- Mathematics --- Engineering --- Engineering analysis --- Mathematical analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences

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Mathematics --- Mathematical physics --- Classical mechanics. Field theory --- toegepaste wiskunde --- wiskunde --- fysica --- mechanica

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This second volume of Mechanical Systems, Classical Models, deals with the dynamics of systems consisting of discrete particles as well as continuous systems. While differences between these models are highlighted, the generality of the proofs and corresponding computations yields results that are expressed in a common form for both discrete and continuous 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. A large variety of problems are analyzed, from the traditional to more recent ones, such as the dynamics of rigid solids with variable mass. Professor Teodorescu has spent more that 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: students and researchers in applied mathematics, physics, chemistry, mechanical engineering.

Mathematics --- Mathematical physics --- Classical mechanics. Field theory --- toegepaste wiskunde --- wiskunde --- fysica --- mechanica