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

Por: Haberman, Richard, 1945-Editor: Englewood Cliffs, N.J. : Prentice-Hall, c1983Descripción: x, 533 p. : il. ; 25 cmISBN: 0132528339Tema(s): Differential equations, Partial | Fourier series | Boundary value problemsOtra clasificación: 35-01 (00A06)
Contenidos:
1. Heat equation2. Method of separation of variables3. Fourier series4. Vibrating strings and membranes5. Sturm-Liouville eigenvalue problems6. Partial differential equations with at least three independent variables7. Nonhomogeneous problems8. Green's functions for time-independent problems9. Infinite domain problems. Fourier transform solutions of partial differential equations10. Green's functions for time-dependent problems11. The wave equation and the method of characteristics12. A brief introduction to Laplace transform solution of partial differential equations13. An elementary discussion of finite difference numerical methods for partial differential equations.
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Incluye referencias bibliográficas (p. 518-519) e índice.

1. Heat equation -- 2. Method of separation of variables -- 3. Fourier series -- 4. Vibrating strings and membranes -- 5. Sturm-Liouville eigenvalue problems -- 6. Partial differential equations with at least three independent variables -- 7. Nonhomogeneous problems -- 8. Green's functions for time-independent problems -- 9. Infinite domain problems. Fourier transform solutions of partial differential equations -- 10. Green's functions for time-dependent problems -- 11. The wave equation and the method of characteristics -- 12. A brief introduction to Laplace transform solution of partial differential equations -- 13. An elementary discussion of finite difference numerical methods for partial differential equations.

MR, 84a:35001

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