000			03090nam a22004455i 4500
001			978-0-306-48682-1
003			DE-He213
005			20161121231011.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780306486821 _9978-0-306-48682-1
024	7		_a10.1007/b116020 _2doi
050		4	_aTA1-2040
072		7	_aTBC _2bicssc
072		7	_aTEC000000 _2bisacsh
082	0	4	_a620 _223
100	1		_aArdema, Mark D. _eauthor.
245	1	0	_aAnalytical Dynamics _h[electronic resource] : _bTheory and Applications / _cby Mark D. Ardema.
264		1	_aBoston, MA : _bSpringer US, _c2005.
300			_aXVI, 340 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aReview of Newtonian Dynamics -- Motion and Constraints -- Virtual Displacement and Virtual Work -- Variational Principles -- Generalized Coordinates -- Lagrange’s Equations -- Formulation of Equations -- Integration of Equations -- Examples -- Central Force Motion -- Gyroscopic Motion -- Stability Of Motion -- Impulsive Motion -- Gibbs-Appell Equations -- Hamilton’s Equations -- Contact Transformations -- Hamilton-Jacobi Equation -- Approximation Methods.
520			_aIn his great work, Mecanique Analytique (1788)-^Lagrange used the term "analytical" to mean "non-geometrical." Indeed, Lagrange made the following boast: "No diagrams will be found in this work. The methods that I explain in it require neither constructions nor geometrical or mechanical arguments, but only the algebraic operations inherent to a regular and uniform process. Those who love Analysis will, with joy, see mechanics become a new branch of it and will be grateful to me for thus having extended its field." This was in marked contrast to Newton's Philosohiae Naturalis Principia Mathematica (1687) which is full of elaborate geometrical constructions. It has been remarked that the classical Greeks would have understood some of the Principia but none of the Mecanique Analytique. The term analytical dynamics has now come to mean the develop­ ments in dynamics from just after Newton to just before the advent of relativity theory and quantum mechanics, and it is this meaning of the term that is meant here. Frequent use will be made of diagrams to illus­ trate the theory and its applications, although it will be noted that as the book progresses and the material gets "more analytical", the number of figures per chapter tends to decrease, although not monotonically.
650		0	_aEngineering.
650		0	_aVibration.
650		0	_aDynamical systems.
650		0	_aDynamics.
650	1	4	_aEngineering.
650	2	4	_aEngineering, general.
650	2	4	_aVibration, Dynamical Systems, Control.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780306486814
856	4	0	_uhttp://dx.doi.org/10.1007/b116020
912			_aZDB-2-ENG
950			_aEngineering (Springer-11647)
999			_c507069 _d507069