Ordinary Differential Equations

Garrett Birkhoff

ISBN 10: 0471860034 / ISBN 13: 9780471860037

Published by Wiley, 1991

About this Item

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.

Seller Inventory # CIN0471860034G

Bibliographic Details

• Title: Ordinary Differential Equations
• Publisher: Wiley
• Publication Date: 1991
• Language: English
• ISBN 10: 0471860034
• ISBN 13: 9780471860037
• Binding: Paperback
• Edition: 4th Edition
• Condition: Good

About this title

Synopsis

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.

About the Author

Garrett Birkhoff was an American mathematician. He is best known for his work in lattice theory. The mathematician George Birkhoff was his father. Gian-Carlo Rota is the author of Ordinary Differential Equations, 4th Edition, published by Wiley.