LEADER 04984nam 2200625 a 450 001 9910457174103321 005 20200520144314.0 010 $a1-283-73487-7 010 $a0-08-091673-2 035 $a(CKB)2550000000088725 035 $a(EBL)886248 035 $a(OCoLC)819589504 035 $a(SSID)ssj0000645042 035 $a(PQKBManifestationID)11446642 035 $a(PQKBTitleCode)TC0000645042 035 $a(PQKBWorkID)10680087 035 $a(PQKB)10331776 035 $a(MiAaPQ)EBC886248 035 $a(Au-PeEL)EBL886248 035 $a(CaPaEBR)ebr10531913 035 $a(CaONFJC)MIL404737 035 $a(EXLCZ)992550000000088725 100 $a20120308d2006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aBoundary value problems and partial differential equations$b[electronic resource] $estudent solutions manual /$fDavid L. Powers 205 $a5th ed. 210 $aAmsterdam ;$aBoston $cElsevier Academic Press$dc2006 215 $a1 online resource (164 p.) 300 $aDescription based upon print version of record. 311 $a0-12-088586-7 327 $aFront Cover; Boundary Value Problems and Partial Differential Equations: Student Solutions Manual; Copyright Page; TABLE OF CONTENTS; Chapter 0. Ordinary Differential Equations; 0.1 Homogeneous Linear Equations; 0.2 Nonhomogeneous Linear Equations; 0.3 Boundary Value Problems; 0.4 Singular Boundary Value Problems; 0.5 Green's Functions; Miscellaneous; Chapter 1. Fourier Series and Integrals; 1.1 Periodic Functions and Fourier Series; 1.2 Arbitrary Period and Half-Range Expansions; 1.3 Convergence of Fourier Series; 1.4 Uniform Convergence; 1.5 Operations on Fourier Series 327 $a1.6 Mean Error and Convergence in Mean1.7 Proof of Convergence; 1.8 Numerical Fourier Coefficients; 1.9 Fourier Integral; 1.10 Complex Methods; 1.11 Applications of Fourier Series and Integrals; Miscellaneous Exercises; Chapter 2. The Heat Equation; 2.1 Derivation and Boundary Conditions; 2.2 Steady-State Ternperatures; 2.3 Example: Fixed End Temperatures; 2.4 Example: Insulated Bar; 2.5 Example: Different Boundary Conditions; 2.6 Example: Convection; 2.7 Sturm-Liouville Problems; 2.8 Expansion in Series of Eigenfunctions; 2.9 Generalities on the Heat Conduction Problem 327 $a2.10 Serni-Infinite Rod2.11 Infinite Rod; 2.12 The Error Function; Miscellaneous; Chapter 3. The Wave Equation; 3.1 The Vibrating String; 3.2 Solution of the Vibrating String Problem; 3.3 D'Alemberts Solution; 3.4 One-Dimensional Wave Equations: Generalities; 3.5 Estimation of Eigenvalues; 3.6 Wave Equation in Unbounded Regions; Miscellaneous; Chapter 4. The Potential Equation; 4.1 Potential Equation; 4.2 Potential in a Rectangle; 4.3 Further Examples for a Rectangle; 4.4 Potential in Unbounded Regions; 4.5 Potential in a Disk; 4.6 Classification and Limitations; Miscellaneous Exercises 327 $aChapter 5. Higher Dimensions and Other Coordinates5.1 Two-Dimensional Wave Equation: Derivation; 5.2 Three-Dimensional Heat Equations: Vector Derivation; 5.3 Two-Dimensional Heat Equation: Solution; 5.4 Problems in Polar Coordinates; 5.5 Bessel's Equation; 5.6 Temperature in a Cylinder; 5.7 Vibrations of a Circular Membrane; 5.8 Some Applications of Bessel Functions; 5.9 Spherical Coordinates; Legendre Polynomials; 5.10 Some Applications of Legendre Polynomials; Miscellaneous; Chapter 6. Laplace Transform; 6.1 Definition and Elementary Properties; 6.2 Partial Fractions and Convolutions 327 $a6.3 Partial Differential Equations6.4 More Difficult Examples; Miscellaneous Exercises; Chapter 7. Numerical Methods; 7.1 Boundary Value Problems; 7.2 Heat Problems; 7.3 Wave Equation; 7.4 Potential Equation; 7.5 Two-Dimensional Problems; Miscellaneous 330 $aThis student solutions manual accompanies the text, Boundary Value Problems and Partial Differential Equations, 5e. The SSM is available in print via PDF or electronically, and provides the student with the detailed solutions of the odd-numbered problems contained throughout the book.Provides students with exercises that skillfully illustrate the techniques used in the text to solve science and engineering problemsNearly 900 exercises ranging in difficulty from basic drills to advanced problem-solving exercisesMany exercises based on current engineering 606 $aBoundary value problems$vProblems, exercises, etc 606 $aDifferential equations, Partial$vProblems, exercises, etc 608 $aElectronic books. 615 0$aBoundary value problems 615 0$aDifferential equations, Partial 676 $a515.35 676 $a515/.35 700 $aPowers$b David L$030383 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910457174103321 996 $aBoundary value problems and partial differential equations$9776486 997 $aUNINA