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001			9780429030253
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005			20220509192944.0
006			m o d
007			cr |n|||||||||
008			191107s2018 flu ob 001 0 eng
040			_aOCoLC-P _beng _erda _cOCoLC-P
020			_a9780429030253 (electronic bk)
020			_a0429030258 (electronic bk)
020			_a9780429638589 _q(electronic bk. : EPUB)
020			_a0429638582 _q(electronic bk. : EPUB)
020			_a9780429641756 _q(electronic bk. : PDF)
020			_a0429641753 _q(electronic bk. : PDF)
020			_a9780429635410 _q(electronic bk. : Mobipocket)
020			_a0429635419 _q(electronic bk. : Mobipocket)
020			_z9780367137212
020			_z0367137216
035			_a(OCoLC)1127538652
035			_a(OCoLC-P)1127538652
050		4	_aTA355 _b.C28 2018
072		7	_aMAT _x003000 _2bisacsh
072		7	_aMAT _x007000 _2bisacsh
072		7	_aMED _x000000 _2bisacsh
072		7	_aTBJ _2bicssc
082	0	4	_a531/.320151535 _223
100	1		_aCampos, Luis Manuel Braga da Costa, _eauthor.
245	1	0	_aSimultaneous differential equations and multi-dimensional vibrations / _cLuis Manuel Braga da Campos.
250			_aFirst edition.
264		1	_aBoca Raton, FL : _bCRC Press/Taylor & Francis Group, _c2018.
300			_a1 online resource (pages cm.)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
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. Presents simultaneous systems of ordinary differential equations and their elimination for a single ordinary differential equation Includes cases with a matrix of characteristic polynomials, including simultaneous systems of linear differential and finite difference equations with constant coefficients Covers multi-dimensional oscillators with damping and forcing, including modal decomposition, natural frequencies and coordinates, and multiple resonance Discusses waves in inhomogeneous media, such as elastic, electromagnetic, acoustic, and water waves Includes solutions of partial differential equations of mathematical physics by separation of variables leading to ordinary differential equations
588			_aOCLC-licensed vendor bibliographic record.
650		0	_aVibration _xMathematical models.
650		0	_aOscillations _xMathematical models.
650		0	_aDifferential equations.
650		0	_aEquations, Simultaneous.
650		0	_aEngineering mathematics.
650		7	_aMATHEMATICS / Applied _2bisacsh
650		7	_aMATHEMATICS / Differential Equations _2bisacsh
650		7	_aMEDICAL / General _2bisacsh
856	4	0	_3Taylor & Francis _uhttps://www.taylorfrancis.com/books/9780429030253
856	4	2	_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999			_c127222 _d127222