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Boundary value problems : and partial differential equations /
Boundary Value Problems is the leading text on boundary value problems and Fourier series. The author, David Powers, (Clarkson) has written a thorough, theoretical overview of solving boundary value problems involving partial differential equations by the methods of separation of variables. Professo...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; Boston :
Elsevier Academic Press,
©2006.
|
| Edición: | 5th ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Powers, David L., |e author. | |
| 245 | 1 | 0 | |a Boundary value problems : |b and partial differential equations / |c David L. Powers. |
| 250 | |a 5th ed. | ||
| 260 | |a Amsterdam ; |a Boston : |b Elsevier Academic Press, |c ©2006. | ||
| 300 | |a 1 online resource (xi, 501 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references (pages 433-434) and index. | ||
| 505 | 0 | |a Cover -- Contents -- Preface -- 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 -- Chapter Review -- Miscellaneous Exercises -- 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 -- 1.6 Mean Error and Convergence in Mean -- 1.7 Proof of Convergence -- 1.8 Numerical Determination of Fourier Coefficients -- 1.9 Fourier Integral -- 1.10 Complex Methods -- 1.11 Applications of Fourier Series and Integrals -- 1.12 Comments and References -- Chapter Review -- Miscellaneous Exercises -- Chapter 2. The Heat Equation -- 2.1 Derivation and Boundary Conditions -- 2.2 Steady-State Temperatures -- 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 -- 2.10 Semi-Infinite Rod -- 2.11 Infinite Rod -- 2.12 The Error Function -- 2.13 Comments and References -- Chapter Review -- Miscellaneous Exercises -- Chapter 3. The Wave Equation -- 3.1 The Vibrating String -- 3.2 Solution of the Vibrating String Problem -- 3.3 d'Alembert's Solution -- 3.4 One-Dimensional Wave Equation: Generalities -- 3.5 Estimation of Eigenvalues -- 3.6 Wave Equation in Unbounded Regions -- 3.7 Comments and References -- Chapter Review -- Miscellaneous Exercises -- 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 -- 4.7 Comments and References -- Chapter Review -- Miscellaneous Exercises -- Chapter 5. Higher Dimensions and Other Coordinates -- 5.1 Two-Dimensional Wave Equation: Derivation -- 5.2 Three-Dimensional Heat Equation -- 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 -- 5.11 Comments and References -- Chapter Review -- Miscellaneous Exercises -- Chapter 6. Laplace Transform -- 6.1 Definition and Elementary Properties -- 6.2 Partial Fractions and Convolutions -- 6.3 Partial Differential Equations -- 6.4 More Difficult Examples -- 6.5 Comments and References -- Miscellaneous Exercises -- Chapter 7. Numerical Methods -- 7.1 Boundary Value Problems -- 7.2 Heat Problems -- 7.3 Wave Equation -- 7.4 Potential Equation -- 7. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a Boundary Value Problems is the leading text on boundary value problems and Fourier series. The author, David Powers, (Clarkson) has written a thorough, theoretical overview of solving boundary value problems involving partial differential equations by the methods of separation of variables. Professors and students agree that the author is a master at creating linear problems that adroitly illustrate the techniques of separation of variables used to solve science and engineering.* CD with animations and graphics of solutions, additional exercises and chapter review questions. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Boundary value problems |v Textbooks. | |
| 650 | 0 | |a Differential equations, Partial |v Textbooks. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x Partial. |2 bisacsh | |
| 650 | 7 | |a Boundary value problems |2 fast | |
| 650 | 7 | |a Differential equations, Partial |2 fast | |
| 655 | 7 | |a Textbooks |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Powers, David L. |t Boundary value problems. |b 5th ed. |d Amsterdam ; Boston : Elsevier Academic Press, ©2006 |z 0125637381 |z 9780125637381 |w (DLC) 2006271800 |w (OCoLC)66023852 |
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| 994 | |a 92 |b IZTAP | ||