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

Emphasizing physical interpretations of mathematical solutions, this book introduces applied mathematics and presents partial differential equations. KEY TOPICS Leading readers from simple exercises through increasingly powerful mathematical techniques, this book discusses hear flow and vibrating st...

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Detalles Bibliográficos
Clasificación:QA377 H2.3 1998
Autor principal: Haberman, Richard, 1945-
Formato: Libro
Idioma:Inglés
Publicado: Upper Saddle River, New Jersey : Prentice-Hall, 1998.
Edición:3rd ed.
Temas:
Differential equations, Partial.
Fourier series.
Boundary value problems.
Ecuaciones diferenciales parciales
Problemas con valores en la frontera
Fourier, Series de
Tabla de Contenidos:
  • 1. Heat Equation
  • 2. Method of Separation of Variables
  • 3. Fourier Series
  • 4. Vibrating Strings and Membranes
  • 5. Sturm-Liouville 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 Time-Independent Problems
  • 10. Infinite Domain Problems - Fourier Transform Solutions of Partial Differential Equations
  • 11. Green's Functions for Time-Dependent Problems
  • 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.

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