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Particle dynamics. --- Orbits --- Gravitation --- Dynamique d'une particule --- Orbites --- Gravitation

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Dynamics, Rigid --- Particle dynamics. --- Mechanics --- Dynamique des corps rigides --- Dynamique d'une particule --- Mécanique

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Quantum field theory --- Dynamics of a particle --- Théorie quantique des champs --- Dynamique d'une particule --- Biophysics. --- Statistical mechanics. --- Biology --- Mathematical models. --- Théorie quantique des champs --- Particle dynamics.

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All phenomena in nature are characterized by motion; this is an essential property of matter, having infinitely many aspects. Motion can be mechanical, physical, chemical or biological, leading to various sciences of nature, mechanics being one of them. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion. In the study of a science of nature mathematics plays an important role. Mechanics is the first science of nature which was expressed in terms of mathematics by considering various mathematical models, associated to phenomena of the surrounding nature. Thus, its development was influenced by the use of a strong mathematical tool; on the other hand, we must observe that mechanics also influenced the introduction and the development of many mathematical notions. In this respect, the guideline of the present book is precisely the mathematical model of mechanics. A special accent is put on the solving methodology as well as on the mathematical tools used; vectors, tensors and notions of field theory. Continuous and discontinuous phenomena, various mechanical magnitudes are presented in a unitary form by means of the theory of distributions. Some appendices give the book an autonomy with respect to other works, special previous mathematical knowledge being not necessary. Some applications connected to important phenomena of nature are presented, and this also gives one the possibility to solve problems of interest from the technical, engineering point of view. In this form, the book becomes – we dare say – a unique outline of the literature in the field; the author wishes to present the most important aspects connected with the study of mechanical systems, mechanics being regarded as a science of nature, as well as its links to other sciences of nature. Implications in technical sciences are not neglected. Audience: Librarians, and researchers interested in the fundamentals of mechanics.

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

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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