Applied partial differential equations : with Fourier series and boundary value problems / Richard Haberman.

By: Contributor(s): Material type: TextTextPublication details: Upper Saddle River, N.J. : Pearson Prentice Hall, c2004.Edition: 4th edDescription: xviii, 769 p. : ill. ; 24 cmISBN:
  • 0471433381
Subject(s): DDC classification:
  • 515.353 BOY 21
Contents:
1. Heat Equation -- 2. Method of Separation of Variables -- 3. Fourier Series -- 4. Wave Equation: Vibrating Strings and Membranes -- 5. Sturm-Liouville Eigenvalue Problems -- 6. Finite Difference Numerical Methods for Partial Differential Equations -- 7. Higher Dimensional Partial Differential Equations -- 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 Quasilinear Wave Equations -- 13. Laplace Transform Solution of Partial Differential Equations -- 14. Dispersive Waves: Slow Variations, Stability, Nonlinearity, and Perturbation Methods.
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Rev. ed. of: Elementary applied partial differential equations. 3rd ed. c1998.

Includes bibliographical references (p. 726-730) and index.

1. Heat Equation -- 2. Method of Separation of Variables -- 3. Fourier Series -- 4. Wave Equation: Vibrating Strings and Membranes -- 5. Sturm-Liouville Eigenvalue Problems -- 6. Finite Difference Numerical Methods for Partial Differential Equations -- 7. Higher Dimensional Partial Differential Equations -- 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 Quasilinear Wave Equations -- 13. Laplace Transform Solution of Partial Differential Equations -- 14. Dispersive Waves: Slow Variations, Stability, Nonlinearity, and Perturbation Methods.

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