Ordinary differential equations serve as mathematical models for many exciting real world problems. Rapid growth in the theory and applications of differential equations has resulted in a continued interest in their study by studentsin many disciplines. Key Features of this textbook: Organizes material aroundtheorems and proofs; Comprises of 42 class-tested lectures that effectively convey the subject in easily manageable sections; presentation is driven by detailed examples that illustrate how the subject works; includes numerous exercise sets, with an ‘answers and hints’ section; provides a background and history of the subject through interesting preliminary lectures; the rich array of topics allows for flexibility in developing the subject beyond the basics. INDICE: From the contents Preface.- Solvable Differential Equations.- Second Order Differential Equations.- Preliminaries to Series Solutions.- Solutionat an Ordinary Point.- Solution at a Singular Point.- Solution at a Singular Point (Contd.).- Legendre Polynomials and Functions.- Chebyshev, Hermite and Laguerre Polynomials.- Bessel Functions.- Hypergeometric Functions.- Piecewise Continuous and Periodic Functions.- Orthogonal Functions and Polynomials.- Orthogonal Functions and Polynomials (contd.).- Boundary Value Problems.- Boundary Value Problems (contd.).- Green's Functions.- Regular Perturbations.- Singular Perturbations.- Sturm-Liouville Problems.- Eigenfunction Expansions.- Eigenfunction Expansions (contd.).- Convergence of the Fourier Series.- Convergenceof the Fourier Series (contd.).- Fourier Series Solutions of Ordinary Differential Equations.- Partial Differential Equations.- First Order Partial Differential Equations.- Solvable Partial Differential Equations.- The Canonical Forms.
- ISBN: 978-0-387-71275-8
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 335
- Fecha Publicación: 01/01/2008
- Nº Volúmenes: 1
- Idioma: Inglés