000 04033nam a22004935i 4500
001 978-1-4020-5442-6
003 DE-He213
005 20161121231042.0
007 cr nn 008mamaa
008 100301s2007 ne | s |||| 0|eng d
020 _a9781402054426
_9978-1-4020-5442-6
024 7 _a10.1007/1-4020-5442-4
_2doi
050 4 _aQC120-168.85
050 4 _aQA808.2
072 7 _aPHD
_2bicssc
072 7 _aSCI041000
_2bisacsh
082 0 4 _a531
_223
100 1 _aTeodorescu, Petre P.
_eauthor.
245 1 0 _aMechanical Systems, Classical Models
_h[electronic resource] :
_bVolume I: Particle Mechanics /
_cby Petre P. Teodorescu.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2007.
300 _aXII, 778 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical and Analytical Techniques with Applications to Engineering,
_x1559-7458
505 0 _aNewtonian 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.
520 _aAll 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.
650 0 _aPhysics.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aMechanics.
650 1 4 _aPhysics.
650 2 4 _aMechanics.
650 2 4 _aApplications of Mathematics.
650 2 4 _aMathematical Methods in Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781402054419
830 0 _aMathematical and Analytical Techniques with Applications to Engineering,
_x1559-7458
856 4 0 _uhttp://dx.doi.org/10.1007/1-4020-5442-4
912 _aZDB-2-PHA
950 _aPhysics and Astronomy (Springer-11651)
999 _c507845
_d507845