Partial differential equations : sources and solutions
著者
書誌事項
Partial differential equations : sources and solutions
Prentice Hall, c1999
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注記
Includes index
内容説明・目次
内容説明
For courses in Partial Differential Equations taken by mathematics and engineering majors. An alternative to the obscure, jargon-heavy tomes on PDEs for math specialists and the cookbook, numerics-based "user manuals" (which provide little insight and questionable accuracy), this text presents full coverage of the analytic (and accurate) method for solving PDEs - in a manner that is both decipherable to engineering students and physically insightful for math students. The exposition is based on physical principles instead of abstract analyses, making the presentation accessible to a larger audience.
目次
1. Basics of Differential Equations.
2. Series Solutions for Ordinary Differential Equations.
3. Fourier Methods.
4. The Differential Equations of Physics and Engineering.
5. The Separation of Variables Technique.
6. Eigenfunction Expansions.
7. Applications of Eigenfunctions to Partial Differential Equations.
8. Green's Functions and Transform Methods.
9. Perturbation Methods, Small Wave Analysis, and Dispersion.
Appendix A. Some Numerical Techniques.
Appendix B. Evaluation of Certain Bromwich Integrals.
References.
Index.
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