Advanced mathematical methods for scientists and engineers I : asymptotic methods and perturbation theory /

This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvab...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bender, Carl M., 1943- (Autor), Orszag, Steven A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer, 1999.
Temas:
Differential equations > Numerical solutions.
Difference equations > Numerical solutions.
Engineering mathematics.
Science > Mathematics.
Global analysis (Mathematics)
Mathematical physics.
Mathematics.
Équations différentielles > Solutions numériques.
Équations aux différences > Solutions numériques.
Mathématiques de l'ingénieur.
Sciences > Mathématiques.
Analyse globale (Mathématiques)
Physique mathématique.
Mathématiques.
mathematics.
applied mathematics.
Difference equations > Numerical solutions
Differential equations > Numerical solutions
Engineering mathematics
Mathematical physics
Mathematics
Science > Mathematics
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface
  • Ordinary Differential Equations
  • Difference Equations
  • Approximate Solution of Linear Differential Equations
  • Approximate Solution of Nonlinear Equations
  • Approximate Solution of Difference Equations
  • Asymptotic Expansion of Integrals
  • Perturbation Series
  • Summation of Series
  • Boundary Layer Theory
  • WKB Theory
  • Multiple Scales Analysis
  • Appendix
  • References
  • Index.

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