Mechanical Systems, Classical Models: Volume 3: Analytical Mechanics 2009 Edition Contributor(s): Teodorescu, Petre P. (Author) |
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ISBN: 9400736835 ISBN-13: 9789400736832 Publisher: Springer OUR PRICE: $208.99 Product Type: Paperback - Other Formats Published: March 2012 |
Additional Information |
BISAC Categories: - Mathematics | Applied - Science | Mechanics - General - Science | Physics - Mathematical & Computational |
Dewey: 531.16 |
Series: Mathematical and Analytical Techniques with Applications to |
Physical Information: 1.56" H x 6.14" W x 9.21" (2.38 lbs) 772 pages |
Descriptions, Reviews, Etc. |
Publisher Description: All phenomena in nature are characterized by motion. 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 r le. 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. Thus, its development was influenced by the use of a strong mathematical tool. 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, respectively. Other models, e.g., the model of attraction forces between the particles of a discrete mechanical system, are part of the considered Newtonian model. Kepler's laws brilliantly verify this model in case of velocities much smaller then the light velocity in vacuum. |