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003			ES-MaUEC
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007			cr nn 008mamaa
008			230419s2011 sz | s |||| 0|eng d
020			_a9783031024023
024	7		_a10.1007/978-3-031-02402-3 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aQA188 _b2011 EB
100	1		_aTobias, Marvin J. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9688140
245	1	0	_aMatrices in Engineering Problems _cby Marvin Tobias
250			_a1st edition 2011
264		1	_aCham _bSpringer International Publishing _c2011
300			_a1 recurso en línea (XIII, 268 páginas)
336			_atexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_aarchivo de texto _bPDF
490	0		_aSynthesis Lectures on Mathematics & Statistics _x1938-1751
505	0		_aMatrix Fundamentals -- Determinants -- Matrix Inversion -- Linear Simultaneous Equation Sets -- Orthogonal Transforms -- Matrix Eigenvalue Analysis -- Matrix Analysis of Vibrating Systems.
520			_aThis book is intended as an undergraduate text introducing matrix methods as they relate to engineering problems. It begins with the fundamentals of mathematics of matrices and determinants. Matrix inversion is discussed, with an introduction of the well known reduction methods. Equation sets are viewed as vector transformations, and the conditions of their solvability are explored. Orthogonal matrices are introduced with examples showing application to many problems requiring three dimensional thinking. The angular velocity matrix is shown to emerge from the differentiation of the 3-D orthogonal matrix, leading to the discussion of particle and rigid body dynamics. The book continues with the eigenvalue problem and its application to multi-variable vibrations. Because the eigenvalue problem requires some operations with polynomials, a separate discussion of these is given in an appendix. The example of the vibrating string is given with a comparison of the matrix analysis to the continuous solution. Table of Contents: Matrix Fundamentals / Determinants / Matrix Inversion / Linear Simultaneous Equation Sets / Orthogonal Transforms / Matrix Eigenvalue Analysis / Matrix Analysis of Vibrating Systems.
988			_aSynthesis Collection of Technology_2011
650		7	_2embne _9142711 _aMatrices (Matemáticas)
776	0	8	_iPrinted edition: _z9783031012747
776	0	8	_iPrinted edition: _z9783031035302
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-02402-3 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b04/2023 _dz _eIG _zSI