Applied Partial Differential Equations
Appropriate for an elementary or advanced undergraduate first course of varying lengths. Also appropriate for beginning graduate students. Its in-depth elementary presentation is intended primarily for students in science, engineering, and applied mathematics.Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations.
- Hardback | 769 pages
- 180.34 x 233.68 x 33.02mm | 1,224.69g
- 26 Mar 2003
- Pearson Education (US)
- Upper Saddle River, NJ, United States
- 4th edition
- bibliography, index
Table of contents
1. Heat Equation. 2. Method of Separation of Variables. 3. Fourier Series. 4. Vibrating Strings and Membranes. 5. Sturm-Liouville Eigenvalue Problems. 6. Finite Difference Numerical Methods for Partial Differential Equations. 7. Partial Differential Equations with at Least Three Independent Variables. 8. Nonhomogeneous Problems. 9. Green's Functions for Time-Independent Problems. 10. Infinite Domain Problems-Fourier Transform Solutions of Partial Differential Equations. 11. Green's Functions for Wave and Heat Equations. 12. The Method of Characteristics for Linear and Quasi-Linear Wave Equations. 13. A Brief Introduction to Laplace Transform Solution of Partial Differential Equations. 14. Topics: Dispersive Waves, Stability, Nonlinearity, and Perturbation Methods. Bibliography. Selected Answers to Starred Exercises. Index.