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LEADER: 05388cam 2200553Ia 4500
001 ocn785847811
003 OCoLC
005 20210126101243.0
008 120416s2013 mauab b 001 0 eng d
010 $a 2011944305
040 $aLWU$beng$cLWU$dOCLCO$dYDXCP$dBWX$dOUP$dDLC$dCDX$dCUD$dLND$dZ#U$dOCLCF$dUKMGB$dOCLCQ$dUX0$dPHCSB$dP4A$dMMM$dOCLCO
016 7 $a016063028$2Uk
019 $a830950115$a891608373
020 $a9781111827069
020 $a1111827060
020 $a9781133492467
020 $a1133492460
035 $a(OCoLC)785847811$z(OCoLC)830950115$z(OCoLC)891608373
050 4 $aQA371$b.Z55 2013
082 04 $a515.35$223
084 $a413.6$2njb/9
100 1 $aZill, Dennis G.,$d1940-
245 10 $aDifferential equations :$bwith boundary-value problems /$cDennis G. Zill, Warren S. Wright, Michael R. Cullen.
250 $a8th ed.
260 $aBoston, MA :$bBrooks/Cole, Cengage Learning,$c©2013.
300 $axv, P-28, 549, APP-23, ANS-32, I-11 pages :$bcolor illustrations, color maps ;$c29 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
504 $aIncludes bibliographical references and index.
505 0 $a1. INTRODUCTION TO DIFFERENTIAL EQUATIONS. Definitions and Terminology. Initial-Value Problems. Differential Equations as Mathematical Models -- 2. FIRST-ORDER DIFFERENTIAL EQUATIONS. Solution Curves Without a Solution. Separable Variables. Linear Equations. Exact Equations and Integrating Factors. Solutions by Substitutions. A Numerical Method -- 3. MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS. Linear Models. Nonlinear Models. Modeling with Systems of First-Order Differential Equations -- 4. HIGHER-ORDER DIFFERENTIAL EQUATIONS. Preliminary Theory-Linear Equations. Reduction of Order. Homogeneous Linear Equations with Constant Coefficients. Undetermined Coefficients-Superposition Approach. Undetermined Coefficients-Annihilator Approach. Variation of Parameters. Cauchy-Euler Equation. Solving Systems of Linear Differential Equations by Elimination. Nonlinear Differential Equations -- 4 in Review. 5. MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS. Linear Models: Initial-Value Problems. Linear Models: Boundary-Value Problems. Nonlinear Models -- 6. SERIES SOLUTIONS OF LINEAR EQUATIONS. Review of Power Series Solutions About Ordinary Points. Solutions About Singular Points. Special Functions -- 7. LAPLACE TRANSFORM. Definition of the Laplace Transform. Inverse Transform and Transforms of Derivatives. Operational Properties I. Operational Properties II. Dirac Delta Function. Systems of Linear Differential Equations -- 8. SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS. Preliminary Theory. Homogeneous Linear Systems. Nonhomogeneous Linear Systems. Matrix Exponential -- 9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS. Euler Methods. Runge-Kutta Methods. Multistep Methods. Higher-Order Equations and Systems. Second-Order Boundary-Value Problems -- 10. PLANE AUTONOMOUS SYSTEMS. Autonomous Systems. Stability of Linear Systems. Linearization and Local Stability. Autonomous Systems as Mathematical Models -- 11. ORTHOGONAL FUNCTIONS AND FOURIER SERIES. Orthogonal Functions. Fourier Series and Orthogonal Functions. Fourier Cosine and Sine Series. Sturm-Liouville Problem. Bessel and Legendre Series -- 12. BOUNDARY-VALUE PROBLEMS IN RECTANGULAR COORDINATES. Separable Partial Differential Equations. Classical PDE's and Boundary-Value Problems. Heat Equation. Wave Equation. Laplace's Equation. Nonhomogeneous Boundary-Value Problems. Orthogonal Series Expansions. Higher-Dimensional Problems -- 13. BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS. Polar Coordinates. Polar and Cylindrical Coordinates. Spherical Coordinates -- 14. INTEGRAL TRANSFORM METHOD. Error Function. Laplace Transform. Fourier Integral. Fourier Transforms --. 15. NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS. Laplace's Equation. Heat Equation. Wave Equation.
520 $a"This proven and accessible book speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides a thorough treatment of boundary-value problems and partial differential equations."--Publisher's website.
650 0 $aDifferential equations$vTextbooks.
650 0 $aBoundary value problems$vTextbooks.
650 7 $aBoundary value problems.$2fast$0(OCoLC)fst00837122
650 7 $aDifferential equations.$2fast$0(OCoLC)fst00893446
655 7 $aTextbooks.$2fast$0(OCoLC)fst01423863
655 7 $aTextbooks.$2lcgft
700 1 $aWright, Warren S.
700 1 $aCullen, Michael R.
856 41 $3Table of contents$uhttp://catdir.loc.gov/catdir/enhancements/fy1303/2011944305-t.html
856 42 $3Contributor biographical information$uhttp://catdir.loc.gov/catdir/enhancements/fy1303/2011944305-b.html
856 42 $3Publisher description$uhttp://catdir.loc.gov/catdir/enhancements/fy1303/2011944305-d.html
938 $aCoutts Information Services$bCOUT$n18265392
938 $aYBP Library Services$bYANK$n8724756
029 1 $aAU@$b000049513303
029 1 $aNZ1$b15560784
994 $aZ0$bP4A
948 $hHELD BY P4A - 80 OTHER HOLDINGS