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Ordinary Differential Equations

Ordinary Differential Equations
Author: Garrett Birkhoff - Gian-Carlo Rota
ISBN 13: 9780471860037
ISBN 10: 471860034
Edition: 4
Publisher: John Wiley & Sons
Publication Date: 1989-01-17
Format: Paperback
Pages: 399
List Price: N/A

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.