
Elementary Applied Partial Differential Equations With Fourier Series and Boundary Value Problems, 3/e
Richard Haberman, Southern Methodist University Published July, 1997 by Prentice Hall Engineering/Science/Mathematics
 
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NEW— Includes a short section on fluid flow past a circular cylinder (lift) early in the text, thereby providing a more realistic application of partial differential equations (Laplace's equation). NEW— Includes a short section on reflection and refraction of light and sound waves that provides a realistic application of partial differential equations (the wave equation). NEW— Includes a short section on the finite element method in the chapter on numerical methods for partial differential equations. NEW— Presents a section on partial differential equations with spherical geometry and the required discussion of Legendre polynomials that discusses more realistic physical problems defined on the spherical earth. NEW— Provides a section on eigenvalue problems with a continuous and discrete spectrum for applicable material on scattering and inverse scattering. NEW— Includes a section on firstorder nonlinear partial differential equations for eikonal equation of geometrical optics. NEW—Includes many computer generated threedimensional figures.
2. Method of Separation of Variables. 3. Fourier Series. 4. Vibrating Strings and Membranes. 5. SturmLiouville Eigenvalue Problems. 6. An Elementary Discussion of 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 TimeIndependent Problems. 10. Infinite Domain Problems—Fourier Transform Solutions of Partial Differential Equations. 11. Green's Functions for TimeDependent Problems. 12. The Method of Characteristics for Linear and QuasiLinear 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.
