Applied partial differential equations /
"This primer on elementary partial differential equations presents the standard material usually covered in a one-semester, undergraduate course on boundary value problems and PDEs. What makes this book unique is that it is a brief treatment, yet it covers all the major ideas: the wave equation...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer,
©2004.
|
| Edition: | 2nd ed. |
| Series: | Undergraduate texts in mathematics
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| Subjects: |
MARC
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| 100 | 1 | |a Logan, J. David |q (John David) | |
| 245 | 1 | 0 | |a Applied partial differential equations / |c J. David Logan. |
| 250 | |a 2nd ed. | ||
| 260 | |a New York : |b Springer, |c ©2004. | ||
| 300 | |a xii, 206 pages : |b illustrations ; |c 24 cm | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Undergraduate texts in mathematics | |
| 504 | |a Includes bibliographical references (pages 205-206) and index. | ||
| 505 | 0 | |a Ch. 1. physical origins of partial differential -- 1.1. Mathematical models -- 1.2. Conservation laws -- 1.3. Diffusion -- 1.4. PDEs in biology -- 1.5. Vibrations and acoustics -- 1.6. Quantum mechanics -- 1.7. Heat flow in three dimensions -- 1.8. Laplace's equation -- 1.9. Classification of PDEs -- Ch. 2. Partial differential equations on unbounded domains -- 2.1. Cauchy problem for the heat equation -- 2.2. Cauchy problem for the wave equation -- 2.3. Ill-posed problems -- 2.4. Semi-infinite domains -- 2.5. Sources and Duhamel's principle. | |
| 520 | 1 | |a "This primer on elementary partial differential equations presents the standard material usually covered in a one-semester, undergraduate course on boundary value problems and PDEs. What makes this book unique is that it is a brief treatment, yet it covers all the major ideas: the wave equation, the diffusion equation, the Laplace equation, and the advection equation on bounded and unbounded domains. Methods include eigenfunction expansions, integral transforms, and characteristics. Mathematical ideas are motivated from physical problems, and the exposition is presented in a concise style accessible to science and engineering students; emphasis is on motivation, concepts, methods, and interpretation, rather than formal theory." "This second edition contains new and additional exercises, and it includes a new chapter on the applications of PDEs to biology: age structured models, pattern formation, epidemic wave fronts, and advection-diffusion processes. The student who reads through this book and solves many of the exercises will have a sound knowledge base for upper division mathematics, science, and engineering courses where detailed models and applications are introduced."--Jacket. | |
| 650 | 0 | |a Differential equations, Partial. | |
| 650 | 6 | |a Équations aux dérivées partielles. |0 (CaQQLa)201-0012495 | |
| 650 | 7 | |a Differential equations, Partial. |2 fast |0 (OCoLC)fst00893484 | |
| 650 | 7 | |a Partielle Differentialgleichung |2 gnd |0 (DE-588)4044779-0 | |
| 650 | 1 | 7 | |a Partiële differentiaalvergelijkingen. |2 gtt |
| 650 | 7 | |a Equações diferenciais parciais. |2 larpcal | |
| 650 | 7 | |a PARTIAL DIFFERENTIAL EQUATIONS. |2 nasat | |
| 650 | 7 | |a DIFFERENTIAL EQUATIONS. |2 nasat | |
| 650 | 7 | |a MATHEMATICS. |2 nasat | |
| 830 | 0 | |a Undergraduate texts in mathematics | |
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