Applied Partial Differential Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2004
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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. J. David Logan is Professor of Mathematics at University of Nebraska, Lincoln. He is also the author of numerous books, including Transport Modeling in Hydrogeochemical Systems (Springer 2001) |
| Beschreibung: | 1 Online-Ressource (XII, 212 p) |
| ISBN: | 9781441988799 9780387209531 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4419-8879-9 |
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| edition | Second Edition |
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| spelling | Logan, J. David Verfasser aut Applied Partial Differential Equations by J. David Logan Second Edition New York, NY Springer New York 2004 1 Online-Ressource (XII, 212 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 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. J. David Logan is Professor of Mathematics at University of Nebraska, Lincoln. He is also the author of numerous books, including Transport Modeling in Hydrogeochemical Systems (Springer 2001) Mathematics Ecology Differential equations, partial Mathematical physics Partial Differential Equations Mathematical Methods in Physics Community & Population Ecology Mathematik Mathematische Physik Ökologie Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Partielle Differentialgleichung (DE-588)4044779-0 s 2\p DE-604 https://doi.org/10.1007/978-1-4419-8879-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Logan, J. David Applied Partial Differential Equations Mathematics Ecology Differential equations, partial Mathematical physics Partial Differential Equations Mathematical Methods in Physics Community & Population Ecology Mathematik Mathematische Physik Ökologie Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4123623-3 |
| title | Applied Partial Differential Equations |
| title_auth | Applied Partial Differential Equations |
| title_exact_search | Applied Partial Differential Equations |
| title_full | Applied Partial Differential Equations by J. David Logan |
| title_fullStr | Applied Partial Differential Equations by J. David Logan |
| title_full_unstemmed | Applied Partial Differential Equations by J. David Logan |
| title_short | Applied Partial Differential Equations |
| title_sort | applied partial differential equations |
| topic | Mathematics Ecology Differential equations, partial Mathematical physics Partial Differential Equations Mathematical Methods in Physics Community & Population Ecology Mathematik Mathematische Physik Ökologie Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Ecology Differential equations, partial Mathematical physics Partial Differential Equations Mathematical Methods in Physics Community & Population Ecology Mathematik Mathematische Physik Ökologie Partielle Differentialgleichung Lehrbuch |
| url | https://doi.org/10.1007/978-1-4419-8879-9 |
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