A carefully revised edition of the well--respected ODE text, whose unique treatment provides a smooth transition to critical understanding of proofs of basic theorems. First chapters present a rigorous treatment of background material; middle chapters deal in detail with systems of nonlinear differential equations; final chapters are devoted to the study of second--order linear differential equations. The power of the theory of ODE is illustrated throughout by deriving the properties of important special functions, such as Bessel functions, hypergeometric functions, and the more common orthogonal polynomials, from their defining differential equations and boundary conditions. Contains several hundred exercises. Prerequisite is a first course in ODE.
- ISBN10 0471860034
- ISBN13 9780471860037
- Publish Date 25 January 1989 (first published 1 January 1978)
- Publish Status Active
- Publish Country US
- Imprint John Wiley & Sons Inc
- Edition 4th Edition
- Format Paperback
- Pages 416
- Language English