MARC Record from marc_nuls

LEADER: 04838cam 2200349 a 4500
001 9920377560001661
005 20150423125715.0
008 031224s2005 njua b 001 0 eng
010 $a 2003070545
020 $a0471433381 (acid-free paper)
035 $a(CSdNU)u265617-01national_inst
035 $a(OCoLC)53972034
035 $a(OCoLC)53972034
040 $aDLC$cDLC$dBAKER$dOrPss
049 $aCNUM
050 00 $aQA371$b.B773 2005
082 00 $a515/.35$222
100 1 $aBoyce, William E.
245 10 $aElementary differential equations and boundary value problems / $cWilliam E. Boyce, Richard C. DiPrima.
250 $a8th ed.
260 $aHoboken, NJ :$bWiley,$cc2005.
300 $axviii, 790 p. :$bcol. ill. ;$c27 cm. +$e1 CD-ROM (4 3/4 in.)
504 $aIncludes bibliographical references and index.
505 0 $aSome Basic Mathematical Models; Direction Fields -- Solutions of Some Differential Equations -- Classification of Differential Equations -- Historical Remarks -- First Order Differential Equations -- Linear Equations with Variable Coefficients -- Separable Equations -- Modeling with First Order Equations -- Differences Between Linear and Nonlinear Equations -- Autonomous Equations and Population Dynamics -- Exact Equations and Integrating Factors -- Numerical Approximations: Euler's Method -- The Existence and Uniqueness Theorem -- First Order Difference Equations -- Second Order Linear Equations -- Homogeneous Equations with Constant Coefficients -- Fundamental Solutions of Linear Homogeneous Equations -- Linear Independence and the Wronskian -- Complex Roots of the Characteristic Equation -- Repeated Roots; Reduction of Order -- Nonhomogeneous Equations; Method of Undetermined Coefficients -- Variation of Parameters -- Mechanical and Electrical Vibrations -- Forced Vibrations -- Higher Order Linear Equations -- General Theory of nth Order Linear Equations -- Homogeneous Equations with Constant Coeffients -- The Method of Undetermined Coefficients -- The Method of Variation of Parameters -- Series Solutions of Second Order Linear Equations -- Review of Power Series -- Series Solutions near an Ordinary Point, Part I -- Series Solutions near an Ordinary Point, Part II -- Regular Singular Points -- Euler Equations -- Series Solutions near a Regular Singular Point, Part I -- Series Solutions near a Regular Singular Point, Part II -- Bessel's Equation -- The Laplace Transform -- Definition of the Laplace Transform -- Solution of Initial Value Problems -- Step Functions -- Differential Equations with Discontinuous Forcing Functions -- Impulse Functions -- The Convolution Integral -- Systems of First Order Linear Equations -- Review of Matrices -- Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors -- Basic Theory of Systems of First Order Linear Equations -- Homogeneous Linear Systems with Constant Coefficients -- Complex Eigenvalues -- Fundamental Matrices -- Repeated Eigenvalues -- Nonhomogeneous Linear Systems -- Numerical Methods -- The Euler or Tangent Line Method -- Improvements on the Euler Method -- The Runge-Kutta Method -- Multistep Methods -- More on Errors; Stability -- Systems of First Order Equations -- Nonlinear Differential Equations and Stability -- The Phase Plane; Linear Systems -- Autonomous Systems and Stability -- Almost Linear Systems -- Competing Species -- Predator-Prey Equations -- Liapunov's Second Method -- Periodic Solutions and Limit Cycles -- Chaos and Strange Attractors; the Lorenz Equations -- Partial Differential Equations and Fourier Series -- Two-Point Boundary Valve Problems -- Fourier Series -- The Fourier Convergence Theorem -- Even and Odd Functions -- Separation of Variables; Heat Conduction in a Rod -- Other Heat Conduction Problems -- The Wave Equation; Vibrations of an Elastic String -- Laplace's Equation -- Derivation of the Heat Conduction Equation -- Derivation of the Wave Equation -- Boundary Value Problems and Sturm-Liouville Theory -- The Occurrence of Two Point Boundary Value Problems -- Sturm-Liouville Boundary Value Problems -- Nonhomogeneous Boundary Value Problems -- Singular Sturm-Liouville Problems -- Further Remarks on the Method of Separation of Variables: A Bessel Series Expansion -- Series of Orthogonal Functions: Mean Convergence.
650 0 $aDifferential equations.
650 0 $aBoundary value problems.
700 1 $aDiPrima, Richard C.
938 $aBaker & Taylor$bBKTY$c142.00$d142.00$i0471433381$n0004376003$sactive
949 $aQA 371 .B773 2005$i31786102056170
994 $a92$bCNU
999 $aQA 371 .B773 2005$wLC$c1$i31786102056170$d4/11/2013$e3/1/2013 $lCIRCSTACKS$mNULS$n3$q1$rY$sY$tBOOK$u2/21/2006
999 $aQA 371 .B773 2005 CD$wLC$c1$i31786101948021$d4/11/2013$e3/1/2013 $lMULTIMEDIA$mNULS$n1$rY$sY$tCD-ROM$u2/23/2006