000			05633cam a2200385 a 4500
001			4780096
005			20180625083040.0
008			031224s2005 njua b 001 0 eng
010			_a 2003070545
020			_a0471433381 (acidfree paper)
035			_a(OCoLC)ocm53972034
035			_a(NNC)4780096
040			_aDLC _cDLC _dOrLoB-B
050	0	0	_aQA371 _bBOY 2004
082	0	0	_a515/.35 _222
100	1		_aBoyce, William E.
245	1	0	_aElementary differential equations and boundary value problems / _cWilliam E. Boyce, Richard C. DiPrima.
250			_a8th ed.
260			_aHoboken, NJ : _bWiley, _cc2004.
300			_axviii, 790 p. : _bcol. ill. ; _c27 cm. + _e1 CD-ROM (4 3/4 in.)
504			_aIncludes bibliographical references and index.
505	0	0	_gChapter 1. _tIntroduction -- _g1.1. _tSome Basic Mathematical Models; Direction Fields -- _g1.2. _tSolutions of Some Differential Equations -- _g1.3. _tClassification of Differential Equations -- _g1.4. _tHistorical Remarks -- _gChapter 2. _tFirst Order Differential Equations -- _g2.1. _tLinear Equations with Variable Coefficients -- _g2.2. _tSeparable Equations -- _g2.3. _tModeling with First Order Equations -- _g2.4. _tDifferences Between Linear and Nonlinear Equations -- _g2.5. _tAutonomous Equations and Population Dynamics -- _g2.6. _tExact Equations and Integrating Factors -- _g2.7. _tNumerical Approximations: Euler's Method -- _g2.8. _tThe Existence and Uniqueness Theorem -- _g2.9. _tFirst Order Difference Equations -- _gChapter 3. _tSecond Order Linear Equations -- _g3.1. _tHomogeneous Equations with Constant Coefficients -- _g3.2. _tFundamental Solutions of Linear Homogeneous Equations -- _g3.3. _tLinear Independence and the Wronskian -- _g3.4. _tComplex Roots of the Characteristic Equation -- _g3.5. _tRepeated Roots; Reduction of Order -- _g3.6. _tNonhomogeneous Equations; Method of Undetermined Coefficients -- _g3.7. _tVariation of Parameters -- _g3.8. _tMechanical and Electrical Vibrations -- _g3.9. _tForced Vibrations -- _gChapter 4. _tHigher Order Linear Equations -- _g4.1. _tGeneral Theory of nth Order Linear Equations -- _g4.2. _tHomogeneous Equations with Constant Coeffients -- _g4.3. _tThe Method of Undetermined Coefficients -- _g4.4. _tThe Method of Variation of Parameters -- _gChapter 5. _tSeries Solutions of Second Order Linear Equations -- _g5.1. _tReview of Power Series -- _g5.2. _tSeries Solutions near an Ordinary Point, Part I -- _g5.3. _tSeries Solutions near an Ordinary Point, Part II -- _g5.4. _tRegular Singular Points -- _g5.5. _tEuler Equations -- _g5.6. _tSeries Solutions near a Regular Singular Point, Part I -- _g5.7. _tSeries Solutions near a Regular Singular Point, Part II -- _g5.8. _tBessel's Equation -- _gChapter 6. _tThe Laplace Transform -- _g6.1. _tDefinition of the Laplace Transform -- _g6.2. _tSolution of Initial Value Problems -- _g6.3. _tStep Functions -- _g6.4. _tDifferential Equations with Discontinuous Forcing Functions -- _g6.5. _tImpulse Functions -- _g6.6. _tThe Convolution Integral -- _gChapter 7. _tSystems of First Order Linear Equations -- _g7.1. _tIntroduction -- _g7.2. _tReview of Matrices -- _g7.3. _tSystems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors -- _g7.4. _tBasic Theory of Systems of First Order Linear Equations -- _g7.5. _tHomogeneous Linear Systems with Constant Coefficients -- _g7.6. _tComplex Eigenvalues -- _g7.7. _tFundamental Matrices -- _g7.8. _tRepeated Eigenvalues -- _g7.9. _tNonhomogeneous Linear Systems -- _gChapter 8. _tNumerical Methods -- _g8.1. _tThe Euler or Tangent Line Method -- _g8.2. _tImprovements on the Euler Method -- _g8.3. _tThe Runge-Kutta Method -- _g8.4. _tMultistep Methods -- _g8.5. _tMore on Errors; Stability -- _g8.6. _tSystems of First Order Equations -- _gChapter 9. _tNonlinear Differential Equations and Stability -- _g9.1. _tThe Phase Plane; Linear Systems -- _g9.2. _tAutonomous Systems and Stability -- _g9.3. _tAlmost Linear Systems -- _g9.4. _tCompeting Species -- _g9.5. _tPredator-Prey Equations -- _g9.6. _tLiapunov's Second Method -- _g9.7. _tPeriodic Solutions and Limit Cycles -- _g9.8. _tChaos and Strange Attractors; the Lorenz Equations -- _gChapter 10. _tPartial Differential Equations and Fourier Series -- _g10.1. _tTwo-Point Boundary Valve Problems -- _g10.2. _tFourier Series -- _g10.3. _tThe Fourier Convergence Theorem -- _g10.4. _tEven and Odd Functions -- _g10.5. _tSeparation of Variables; Heat Conduction in a Rod -- _g10.6. _tOther Heat Conduction Problems -- _g10.7. _tThe Wave Equation; Vibrations of an Elastic String -- _g10.8. _tLaplace's Equation -- _gAppendix A.. _tDerivation of the Heat Conduction Equation -- _gAppendix B.. _tDerivation of the Wave Equation -- _gChapter 11. _tBoundary Value Problems and Sturm-Liouville Theory -- _g11.1. _tThe Occurrence of Two Point Boundary Value Problems -- _g11.2. _tSturm-Liouville Boundary Value Problems -- _g11.3. _tNonhomogeneous Boundary Value Problems -- _g11.4. _tSingular Sturm-Liouville Problems -- _g11.5. _tFurther Remarks on the Method of Separation of Variables: A Bessel Series Expansion -- _g11.6. _tSeries of Orthogonal Functions: Mean Convergence.
650		0	_aDifferential equations.
650		0	_aBoundary value problems.
700	1		_aDiPrima, Richard C.
856	4	2	_3Contributor biographical information _uhttp://www.loc.gov/catdir/bios/wiley047/2003070545.html
856	4	2	_3Publisher description _uhttp://www.loc.gov/catdir/description/wiley041/2003070545.html
856	4	1	_3Table of contents _uhttp://www.loc.gov/catdir/toc/wiley041/2003070545.html
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