000			03976nam a22003735i 4500
001			280930
003			MX-SnUAN
005			20160429154043.0
007			cr nn 008mamaa
008			150903s2009 xxu| o |||| 0|eng d
020			_a9780817648039 _99780817648039
024	7		_a10.1007/9780817648039 _2doi
035			_avtls000333648
039		9	_a201509030206 _bVLOAD _c201404130506 _dVLOAD _c201404092255 _dVLOAD _y201402041116 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aT57-57.97
100	1		_aChirikjian, Gregory S. _eautor _9305828
245	1	0	_aStochastic Models, Information Theory, and Lie Groups, Volume 1 : _bClassical Results and Geometric Methods / _cby Gregory S. Chirikjian.
264		1	_aBoston : _bBirkhäuser Boston, _c2009.
300			_axxii, 383 páginas 13 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aApplied and Numerical Harmonic Analysis
500			_aSpringer eBooks
505	0		_aGaussian Distributions and the Heat Equation -- Probability and Information Theory -- Stochastic Differential Equations -- Geometry of Curves and Surfaces -- Differential Forms -- Polytopes and Manifolds -- Stochastic Processes on Manifolds -- Summary.
520			_aThe subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique two-volume set presents these topics in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Volume 1 establishes the geometric and statistical foundations required to understand the fundamentals of continuous-time stochastic processes, differential geometry, and the probabilistic foundations of information theory. Volume 2 delves deeper into relationships between these topics, including stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statistical analysis, and error propagation on Lie groups. Key features and topics of  Volume 1: * The author reviews stochastic processes and basic differential geometry in an accessible way for applied mathematicians, scientists, and engineers. * Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry. * The concept of Lie groups as continuous sets of symmetry operations is introduced. * The Fokker–Planck Equation for diffusion processes in Euclidean space and on differentiable manifolds is derived in a way that can be understood by nonspecialists. * The concrete presentation style makes it easy for readers to obtain numerical solutions for their own problems; the emphasis is on how to calculate quantities rather than how to prove theorems. * A self-contained appendix provides a comprehensive review of concepts from linear algebra, multivariate calculus, and systems of ordinary differential equations. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817648022
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-4803-9 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c280930 _d280930