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008			170814s2018 gw | s |||| 0|eng d
020			_a9783319569536
024	7		_a10.1007/978-3-319-56953-6 _2doi
040			_bspa _cES-MaUEC _dES-MaUEC
050		4	_aQC20.7.C3 _bL448 2018 EB
100	1		_aLee, Taeyoung. _eautor. _0(orcid)0000-0003-4982-4150 _1http://orcid.org/0000-0003-4982-4150 _4aut _4http://id.loc.gov/vocabulary/relators/aut _1http://viaf.org/viaf/299153409681741581525/
245	1	0	_aGlobal Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds _bA Geometric Approach to Modeling and Analysis _cby Taeyoung Lee, Melvin Leok, N. Harris McClamroch.
264		1	_aCham _bSpringer International Publishing _c2018
300			_a1 recurso en línea (XXVII, 539 páginas 49 ilustraciones)
336			_2rdacontent _aTexto _btxt
337			_2rdamedia _aelectrónico _bc
338			_2rdacarrier _arecurso electrónico _bcr
347			_atext file _bPDF
490	0		_aInteraction of Mechanics and Mathematics, _x1860-6245
490	0		_aEngineering (Springer-11647)
505	0		_aMathematical Background -- Kinematics -- Classical Lagrangian and Hamiltonian Dynamics -- Langrangian and Hamiltonian Dynamics on (S1)n -- Lagrangian and Hamiltonian Dynamics on (S2)n -- Lagrangian and Hamiltonian Dynamics on SO(3) -- Lagrangian and Hamiltonian Dynamics on SE(3) -- Lagrangian and Hamiltonian Dynamics on Manifolds -- Rigid and Mult-body Systems -- Deformable Multi-body Systems -- Fundamental Lemmas of the Calculus of Variations -- Linearization as an Approximation to Lagrangian Dynamics on a Manifold.
520	3		_aThis book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities. The material is presented in an approachable fashion by considering concrete configuration manifolds of increasing complexity, which then motivates and naturally leads to the more general formulation that follows. Understanding of the material is enhanced by numerous in-depth examples throughout the book, culminating in non-trivial applications involving multi-body systems. This book is written for a general audience of mathematicians, engineers, and physicists with a basic knowledge of mechanics. Some basic background in differential geometry is helpful, but not essential, as the relevant concepts are introduced in the book, thereby making the material accessible to a broad audience, and suitable for either self-study or as the basis for a graduate course in applied mathematics, engineering, or physics.
988			_aEBSPRINGER_2018
650		7	_2embne _9139214 _aCálculo de variaciones
700	1		_aLeok, Melvin. _eautor. _0(orcid)0000-0002-8326-0830 _1http://orcid.org/0000-0002-8326-0830 _4aut _4http://id.loc.gov/vocabulary/relators/aut _0http://id.loc.gov/authorities/names/no2017126049 _1http://viaf.org/viaf/19150686565812542658/
700	1		_aMcClamroch, N. H. _q(N. Harris) _0http://id.loc.gov/authorities/names/n80018660 _1http://viaf.org/viaf/94408098/
776	0	8	_iEdición impresa: _z9783319569512
776	0	8	_iEdición impresa: _z9783319569529
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-319-56953-6 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE