Mechanical Systems, Classical Models: Volume 3: Analytical Mechanics Teodorescu Petre P.

All phenomena in nature are characterized by motion. In the study of a science of nature, mathematics plays an important role. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion.

Thus, its development was influenced by the use of a strong mathematical tool. Mechanics is the first science of nature which has been expressed in terms of mathematics, by considering various mathematical models, associated to phenomena of the surrounding nature. As it was already seen in the first two volumes of the present book, its guideline is precisely the mathematical model of mechanics.

The classical models which we refer to are in fact models based on the Newtonian model of mechanics, that is on its five principles, i.e.: the inertia, the forces action, the action and reaction, the independence of the forces action and the initial conditions principle,