Applied Partial Differential Equations
This text is written for the standard, one-semester, undergraduate course in elementary partial differential equations. The topics include derivations of some of the standard equations of mathematical physics (including the heat equation, the wave...
This text is written for the standard, one-semester, undergraduate course in elementary partial differential equations. The topics include derivations of some of the standard equations of mathematical physics (including the heat equation, the wave equation, and Laplace's equation) and methods for solving those equations on bounded and unbounded domains. Methods include eigenfunction expansions, or separation of variables, and methods based on Fourier and Laplace transforms.
To give this text an even wider appeal, the 2nd edition has been updated with a new chapter on partial differential equation models in biology, and with various examples from the life sciences throughout the text. There are more exercises, as well as solutions and hints to some of the problems at the end of the book.
- Partial Differential Equations on Unbounded Domains
- Orthogonal Expansions
- Partial Differential Equations on Bounded Domains
- PDE Models in Biology
- Appendix: Ordinary Differential Equations
- Table of Laplace Transforms
- References
- Index.
- Autor: J. David Logan
- 2004, 2. A., 221 Seiten, 40 Schwarz-Weiß-Abbildungen, Maße: 15,5 x 23,6 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 0387209352
- ISBN-13: 9780387209357
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