Mechanical Systems, Classical Models : Volume 1: Particle Mechanics. 1st ed. 2007

種類:

電子ブック

責任表示:

by Petre P. Teodorescu

出版情報:

Dordrecht : Springer Netherlands : Imprint: Springer, 2007

著者名:

• Teodorescu, Petre P.
• SpringerLink (Online service)

シリーズ名:

Mathematical and Analytical Techniques with Applications to Engineering ;

ISBN:

9781402054426 [1402054424]    

注記:

Newtonian Model of Mechanics -- Mechanics of the Systems of Forces -- Mass Geometry. Displacements. Constraints -- Statics -- Kinematics -- Dynamics of the Particle with Respect to an Inertial Frame of Reference -- Problems of Dynamics of the Particle -- Dynamics of the Particle in a Field of Elastic Forces -- Newtonian Theory of Universal Attraction -- Other Considerations on Particle Dynamics.
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,

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