Description

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.

Ordinary Differential Equations

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£252.00

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Paperback / softback by Garrett Birkhoff , Gian-Carlo Rota

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A carefully revised edition of the well-respected ODE text, whose unique treatment provides a smooth transition to critical understanding of... Read more

    Publisher: John Wiley & Sons Inc
    Publication Date: 25/01/1989
    ISBN13: 9780471860037, 978-0471860037
    ISBN10: 0471860034

    Number of Pages: 416

    Non Fiction , Mathematics & Science , Education

    Description

    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.

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