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040			_aNISER LIBRARY _beng _erda _cNISER LIBRARY
082	0	0	_a531.01 _bCAM-S
100	1		_aCampos, Luis Manuel Braga da Costa
245	1	0	_aSimultaneous systems differential equations and multi-dimensional vibrations
260			_aBoca Raton, FL : _bCRC Press/Taylor & Francis Group, _c2020.
300			_axxv, 299 pages ; _c25 cm.
490	0		_aMathematics and physics for science and technology _vtopic B - Boundary and Initial-Value Problems, volume 4 - Ordinary differential equations with applications to trajectories and oscillations, book 7
504			_aIncludes bibliographical references and index.
520			_aSimultaneous Differential Equations and Multi-Dimensional Vibrations is the fourth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This fourth book consists of two chapters (chapters 7 and 8 of the set). The first chapter concerns simultaneous systems of ordinary differential equations and focuses mostly on the cases that have a matrix of characteristic polynomials, namely linear systems with constant or homogeneous power coefficients. The method of the matrix of characteristic polynomials also applies to simultaneous systems of linear finite difference equations with constant coefficients. The second chapter considers linear multi-dimensional oscillators with any number of degrees of freedom including damping, forcing, and multiple resonance. The discrete oscillators may be extended from a finite number of degrees-of-freedom to infinite chains. The continuous oscillators correspond to waves in homogeneous or inhomogeneous media, including elastic, acoustic, electromagnetic, and water surface waves. The combination of propagation and dissipation leads to the equations of mathematical physics.
650		0	_aVibration _xMathematical models.
650		0	_aOscillations _xMathematical models.
650		0	_aDifferential equations.
650		0	_aEquations, Simultaneous.
650		0	_aEngineering mathematics.
856			_3Table of content _uhttps://www.routledge.com/Simultaneous-Systems-of-Differential-Equations-and-Multi-Dimensional-Vibrations/BragadaCostaCampos/p/book/9781032653747#googlePreviewContainer
856			_3Reviews _uhttps://www.goodreads.com/book/show/42583800-simultaneous-systems-of-differential-equations-and-multi-dimensional-vib?ref=nav_sb_ss_1_13#CommunityReviews
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