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001			9780429028984
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008			191107s2018 flu ob 001 0 eng
040			_aOCoLC-P _beng _erda _cOCoLC-P
020			_a9780429028984 (electronic bk)
020			_a0429028989 (electronic bk)
020			_a9780429642791 _q(electronic bk. : PDF)
020			_a0429642792 _q(electronic bk. : PDF)
020			_a9780429639623 _q(electronic bk. : EPUB)
020			_a0429639627 _q(electronic bk. : EPUB)
020			_a9780429636455 _q(electronic bk. : Mobipocket)
020			_a0429636458 _q(electronic bk. : Mobipocket)
020			_z9780367137182
020			_z0367137186
035			_a(OCoLC)1127538440
035			_a(OCoLC-P)1127538440
050		4	_aTJ208 _b.C36 2018
072		7	_aMAT _x003000 _2bisacsh
072		7	_aMAT _x007000 _2bisacsh
072		7	_aMED _x000000 _2bisacsh
072		7	_aTBJ _2bicssc
082	0	4	_a621.8 _223
100	1		_aCampos, Luis Manuel Braga da Costa, _eauthor.
245	1	0	_aLinear differential equations and oscillators / _cLuis Manuel Braga da Campos.
264		1	_aBoca Raton : _bTaylor & Francis, a CRC title, part of the Taylor & Francis imprint, a member of the Taylor & Francis Group, the academic division of T & F Informa, plc, _c2018.
300			_a1 online resource (pages cm.)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
520			_aLinear Differential Equations and Oscillators is the first 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 first book consists of chapters 1 and 2 of the fourth volume. The first chapter covers linear differential equations of any order whose unforced solution can be obtained from the roots of a characteristic polynomial, namely those: (i) with constant coefficients; (ii) with homogeneous power coefficients with the exponent equal to the order of derivation. The method of characteristic polynomials is also applied to (iii) linear finite difference equations of any order with constant coefficients. The unforced and forced solutions of (i,ii,iii) are examples of some general properties of ordinary differential equations. The second chapter applies the theory of the first chapter to linear second-order oscillators with one degree-of-freedom, such as the mechanical mass-damper-spring-force system and the electrical self-resistor-capacitor-battery circuit. In both cases are treated free undamped, damped, and amplified oscillations; also forced oscillations including beats, resonance, discrete and continuous spectra, and impulsive inputs. Describes general properties of differential and finite difference equations, with focus on linear equations and constant and some power coefficients Presents particular and general solutions for all cases of differential and finite difference equations Provides complete solutions for many cases of forcing including resonant cases Discusses applications to linear second-order mechanical and electrical oscillators with damping Provides solutions with forcing including resonance using the characteristic polynomial, Green' s functions, trigonometrical series, Fourier integrals and Laplace transforms
588			_aOCLC-licensed vendor bibliographic record.
650		0	_aVibrators _xMathematical models.
650		0	_aMechanical movements _xMathematical models.
650		0	_aOscillations _xMathematical models.
650		0	_aDifferential equations, Linear.
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/9780429028984
856	4	2	_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999			_c91782 _d91781