Differential and integral equations /

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Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- and second-order ordinary and partial differ...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Collins, P. J. (Peter J.)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford : Oxford University Press, 2006.
Temas:
Differential equations.
Integral equations.
Équations différentielles.
Équations intégrales.
MATHEMATICS > Differential Equations > General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface; Contents; How to use this book; Prerequisites; 0 Some Preliminaries; 1 Integral Equations and Picard's Method; 2 Existence and Uniqueness; 3 The Homogeneous Linear Equation and Wronskians; 4 The Non-Homogeneous Linear Equation; 5 First-Order Partial Differential Equations; 6 Second-Order Partial Differential Equations; 7 The Diffusion and Wave Equations and the Equation of Laplace; 8 The Fredholm Alternative; 9 HilbertSchmidt Theory; 10 Iterative Methods and Neumann Series; 11 The Calculus of Variations; 12 The SturmLiouville Equation; 13 Series Solutions; 14 Transform Methods.
  • 15 Phase-Plane AnalysisAppendix: the solution of some elementary ordinary differential equations; Bibliography; Index.

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