000			03723nam a2200577 i 4500
001			6812570
003			IEEE
005			20200413152851.0
006			m eo d
007			cr cn |||m|||a
008			081013s2008 caua foa 001 0 eng d
020			_a9781598298055 (electronic bk.)
020			_a9781598298048 (pbk.)
024	7		_a10.2200/S00146ED1V01Y200808MAS002 _2doi
035			_a(CaBNVSL)gtp00531467
035			_a(OCoLC)269366527
040			_aCaBNVSL _cCaBNVSL _dCaBNVSL
050		4	_aQA371 _b.W455 2008
082	0	4	_a515.35 _222
100	1		_aWeintraub, Steven H.
245	1	0	_aJordan canonical form _h[electronic resource] : _bapplication to differential equations / _cSteven H. Weintraub.
260			_aSan Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : _bMorgan & Claypool Publishers, _cc2008.
300			_a1 electronic text (viii, 85 p. : ill.) : _bdigital file.
490	1		_aSynthesis lectures on mathematics and statistics ; _v#2
538			_aMode of access: World Wide Web.
538			_aSystem requirements: Adobe Acrobat Reader.
500			_aPart of: Synthesis digital library of engineering and computer science.
500			_aSeries from website.
500			_aIncludes index.
505	0		_aJordan canonical form -- The diagonalizable case -- The general case -- Solving systems of linear differential equations -- Homogeneous systems with constant coefficients -- Homogeneous systems with constant coefficients -- Inhomogeneous systems with constant coefficients -- The matrix exponential -- Background results -- A.1. Bases, coordinates, and matrices -- A.2. Properties of the complex exponential -- B. Answers to odd-numbered exercises.
506	1		_aAbstract freely available; full-text restricted to subscribers or individual document purchasers.
510	0		_aCompendex
510	0		_aINSPEC
510	0		_aGoogle scholar
510	0		_aGoogle book search
520			_aJordan Canonical Form ( JCF) is one of the most important, and useful, concepts in linear algebra. In this book we develop JCF and show how to apply it to solving systems of differential equations. We first develop JCF, including the concepts involved in it-eigenvalues, eigenvectors, and chains of generalized eigenvectors. We begin with the diagonalizable case and then proceed to the general case, but we do not present a complete proof. Indeed, our interest here is not in JCF per se, but in one of its important applications. We devote the bulk of our attention in this book to showing how to apply JCF to solve systems of constant-coefficient first order differential equations, where it is a very effective tool. We cover all situations-homogeneous and inhomogeneous systems; real and complex eigenvalues. We also treat the closely related topic of the matrix exponential. Our discussion is mostly confined to the 2-by-2 and 3-by-3 cases, and we present a wealth of examples that illustrate all the possibilities in these cases (and of course, a wealth of exercises for the reader).
530			_aAlso available in print.
588			_aTitle from PDF t.p. (viewed on October 15, 2008).
650		0	_aJordan matrix.
650		0	_aDifferential equations.
690			_aJordan Canonical Form.
690			_aLinear algebra.
690			_aDifferential equations.
690			_aEigenvalues.
690			_aEigenvectors.
690			_aGeneralized eigenvectors.
690			_aMatrix exponential.
730	0		_aSynthesis digital library of engineering and computer science.
830		0	_aSynthesis lectures on mathematics and statistics ; _v#2.
856	4	2	_3Abstract with links to resource _uhttp://ieeexplore.ieee.org/servlet/opac?bknumber=6812570
999			_c561618 _d561618