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• 2002017539 contributor B9209998.
• 2002017539 created "c2002.".
• 2002017539 date "2002".
• 2002017539 date "c2002.".
• 2002017539 dateCopyrighted "c2002.".
• 2002017539 description "Includes bibliographical references (p. 247) and index.".
• 2002017539 description "Machine generated contents note: Chapter 1. Ordinary Differential Equations: Brief Revision 1 -- 1.1. First-Order Equations 1 -- 1.2. Homogeneous Linear Equations with Constant Coefficients 3 -- 1.3. Nonhomogeneous Linear Equations with Constant Coefficients 5 -- 1.4. Linear Operators 6 -- Exercises 8 -- Chapter 2. Fourier Series 11 -- 2.1. The Full Fourier Series 11 -- 2.2. Fourier Sine Series 17 -- 2.3. Fourier Cosine Series 21 -- 2.4. Convergence and Differentiation 24 -- Exercises 25 -- Chapter 3. Sturm-Liouville Problems 29 -- 3.1. Regular Sturm-Liouville Problems 29 -- 3.2. Other Sturm-Liouville Problems 40 -- Exercises 44 -- Chapter 4. Three Fundamental Equations of Mathematical -- Physics 49 -- 4.1. The Heat Equation 49 -- 4.2. The Laplace Equation 57 -- 4.3. The Wave Equation 63 -- Chapter 5. The Method of Separation of Variables 69 -- 5.1. The Heat Equation 69 -- 5.2. The Wave Equation 82 -- 5.3. The Laplace Equation 88 -- 5.4. Equations with More than Two Variables 96 -- Exercises 104 -- Chapter 6. Linear Nonhomogeneous Problems 111 -- 6.1. Equilibrium Solutions 111 -- 6.2. Nonhomogeneous Problems 116 -- Exercises 120 -- Chapter 7. The Method of Eigenfunction Expansion 123 -- 7.1. The Heat Equation 123 -- 7.2. The Wave Equation 129 -- 7.3. The Laplace Equation 132 -- Exercises 135 -- Chapter 8. The Fourier Transformations 141 -- 8.1. The Full Fourier Transformation 141 -- 8.2. The Fourier Sine and Cosine Transformations 147 -- Exercises 154 -- Chapter 9. The Laplace Transformation 157 -- 9.1. Definition and Properties 157 -- 9.2. Applications 162 -- Exercises 172 -- Chapter 10. The Method of Green's Functions 175 -- 10.1. The Heat Equation 175 -- 10.2. The Laplace Equation 182 -- 10.3. The Wave Equation 185 -- Exercises 191 -- Chapter 11. General Second-Order Linear Partial -- Differential Equations with Two Independent -- Variables 195 -- 11.1. The Canonical Form 195 -- 11.2. Hyperbolic Equations 199 -- 11.3. Parabolic Equations 202 -- 11.4. Elliptic Equations 204 -- Exercises 205 -- Chapter 12. The Method of Characteristics 207 -- 12.1. First-Order Linear Equations 207 -- 12.2. First-Order Quasilinear Equations 214 -- 12.3. The One-Dimensional Wave Equation 215 -- Exercises 222 -- Chapter 13. Perturbation and Asymptotic Methods 225 -- 13.1. Asymptotic Series 225 -- 13.2. Regular Perturbation Problems 228 -- 13.3. Singular Perturbation Problems 234 -- Exercises 240.".
• 2002017539 extent "xvi, 253 p. :".
• 2002017539 identifier "1584882573 (alk. paper)".
• 2002017539 identifier 2002017539-d.html.
• 2002017539 identifier 2002017539.html.
• 2002017539 isPartOf "Chapman & Hall/CRC mathematics".
• 2002017539 issued "2002".
• 2002017539 issued "c2002.".
• 2002017539 language "eng".
• 2002017539 publisher "Boca Raton, Fla. : Chapman & Hall/CRC Press,".
• 2002017539 subject "515/.353 21".
• 2002017539 subject "Differential equations, Partial Numerical solutions.".
• 2002017539 subject "QA377 .C7629 2002".
• 2002017539 tableOfContents "Machine generated contents note: Chapter 1. Ordinary Differential Equations: Brief Revision 1 -- 1.1. First-Order Equations 1 -- 1.2. Homogeneous Linear Equations with Constant Coefficients 3 -- 1.3. Nonhomogeneous Linear Equations with Constant Coefficients 5 -- 1.4. Linear Operators 6 -- Exercises 8 -- Chapter 2. Fourier Series 11 -- 2.1. The Full Fourier Series 11 -- 2.2. Fourier Sine Series 17 -- 2.3. Fourier Cosine Series 21 -- 2.4. Convergence and Differentiation 24 -- Exercises 25 -- Chapter 3. Sturm-Liouville Problems 29 -- 3.1. Regular Sturm-Liouville Problems 29 -- 3.2. Other Sturm-Liouville Problems 40 -- Exercises 44 -- Chapter 4. Three Fundamental Equations of Mathematical -- Physics 49 -- 4.1. The Heat Equation 49 -- 4.2. The Laplace Equation 57 -- 4.3. The Wave Equation 63 -- Chapter 5. The Method of Separation of Variables 69 -- 5.1. The Heat Equation 69 -- 5.2. The Wave Equation 82 -- 5.3. The Laplace Equation 88 -- 5.4. Equations with More than Two Variables 96 -- Exercises 104 -- Chapter 6. Linear Nonhomogeneous Problems 111 -- 6.1. Equilibrium Solutions 111 -- 6.2. Nonhomogeneous Problems 116 -- Exercises 120 -- Chapter 7. The Method of Eigenfunction Expansion 123 -- 7.1. The Heat Equation 123 -- 7.2. The Wave Equation 129 -- 7.3. The Laplace Equation 132 -- Exercises 135 -- Chapter 8. The Fourier Transformations 141 -- 8.1. The Full Fourier Transformation 141 -- 8.2. The Fourier Sine and Cosine Transformations 147 -- Exercises 154 -- Chapter 9. The Laplace Transformation 157 -- 9.1. Definition and Properties 157 -- 9.2. Applications 162 -- Exercises 172 -- Chapter 10. The Method of Green's Functions 175 -- 10.1. The Heat Equation 175 -- 10.2. The Laplace Equation 182 -- 10.3. The Wave Equation 185 -- Exercises 191 -- Chapter 11. General Second-Order Linear Partial -- Differential Equations with Two Independent -- Variables 195 -- 11.1. The Canonical Form 195 -- 11.2. Hyperbolic Equations 199 -- 11.3. Parabolic Equations 202 -- 11.4. Elliptic Equations 204 -- Exercises 205 -- Chapter 12. The Method of Characteristics 207 -- 12.1. First-Order Linear Equations 207 -- 12.2. First-Order Quasilinear Equations 214 -- 12.3. The One-Dimensional Wave Equation 215 -- Exercises 222 -- Chapter 13. Perturbation and Asymptotic Methods 225 -- 13.1. Asymptotic Series 225 -- 13.2. Regular Perturbation Problems 228 -- 13.3. Singular Perturbation Problems 234 -- Exercises 240.".
• 2002017539 title "Solution techniques for elementary partial differential equations / Christian Constanda.".
• 2002017539 type "text".