Ordinary and partial differential equations : With special functions, Fourier series, and boundary value problems
This textbook provides a genuine treatment of ordinary and partial differential equations (ODEs and PDEs) through 50 class tested lectures. Key Features: Explains mathematical concepts with clarity and rigor, using fully worked-out examples and helpful illustrations. Develops ODEs in conjuction with...
Sparad:
| Huvudupphovsmän: | , |
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| Materialtyp: | Livre numérique |
| Språk: | Anglais |
| Publicerad: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Serie: | Universitext
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| Ämnen: | |
| Länkar: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmärkning: |
Description d'après consultation du 10 octobre 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ordinary and partial differential equations, with special functions, Fourier series, and boundary value problems, by Ravi P. Agarwal, Donal O'Regan, New York, Springer, 2009, 1 vol. (XIV- 410 p.), 978-0-387-79145-6 |
Innehållsförteckning:
- Solvable Differential Equations Second-Order Differential Equations Preliminaries to Series Solutions Solution at an Ordinary Point Solution at a Singular Point Solution at a Singular Point (Cont d.) 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 (Cont d.) Boundary Value Problems Boundary Value Problems (Cont d.) Green s Functions Regular Perturbations Singular Perturbations Sturm Liouville Problems Eigenfunction Expansions Eigenfunction Expansions (Cont d.) Convergence of the Fourier Series Convergence of the Fourier Series (Cont d.) Fourier Series Solutions of Ordinary Differential Equations Partial Differential Equations First-Order Partial Differential Equations Solvable Partial Differential Equations The Canonical Forms The Method of Separation of Variables The One-Dimensional Heat Equation The One-Dimensional Heat Equation (Cont d.) The One-Dimensional Wave Equation The One-Dimensional Wave Equation (Cont d.) Laplace Equation in Two Dimensions Laplace Equation in Polar Coordinates Two-Dimensional Heat Equation Two-Dimensional Wave Equation Laplace Equation in Three Dimensions Laplace Equation in Three Dimensions (Cont d.) Nonhomogeneous Equations Fourier Integral and Transforms Fourier Integral and Transforms (Cont d.) Fourier Transform Method for Partial DEs Fourier Transform Method for Partial DEs (Cont d.) Laplace Transforms Laplace Transforms (Cont d.) Laplace Transform Method for Ordinary DEs Laplace Transform Method for Partial DEs Well-Posed Problems Verification of Solutions