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A Textbook on Ordinary Differential Equations

This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected e...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ahmad, Shair (Autor), Ambrosetti, Antonio (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:2nd ed. 2015.
Colección:La Matematica per il 3+2, 88
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 First order linear differential equations
  • 2 Theory of first order differential equations
  • 3 First order nonlinear differential equations
  • 4 Existence and uniqueness for systems and higher order equations
  • 5 Second order equations
  • 6 Higher order linear equations
  • 7 Systems of first order equations
  • 8 Qualitative analysis of 2x2 systems and nonlinear second order equations
  • 9 Sturm Liouville eigenvalue theory
  • 10 Solutions by infinite series and Bessel functions
  • 11 Laplace transform
  • 12 Stability theory
  • 13 Boundary value problems
  • 14 Appendix A. Numerical methods
  • 15 Answers to selected exercises.