Ordinary Differential Equations

Language: English

Published by Dover Publications Inc., US, 2003

0486649407 / 9780486649405

Series: Book 303 of 303 - Dover Books on Mathematics

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This unusually well-written, skillfully organized introductory text provides an exhaustive survey of ordinary differential equations - equations which express the relationship between variables and their derivatives. In a disarmingly simple, step-by-step style that never sacrifices mathematical rigor, the authors - Morris Tenenbaum of Cornell University, and Harry Pollard of Purdue University - introduce and explain complex, critically-important concepts to undergraduate students of mathematics, engineering and the sciences.The book begins with a section that examines the origin of differential equations, defines basic terms and outlines the general solution of a differential equation-the solution that actually contains every solution of such an equation. Subsequent sections deal with such subjects as: integrating factors; dilution and accretion problems; the algebra of complex numbers; the linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas; and Picard's Method of Successive Approximations.The book contains two exceptional chapters: one on series methods of solving differential equations, the second on numerical methods of solving differential equations. The first includes a discussion of the Legendre Differential Equation, Legendre Functions, Legendre Polynomials, the Bessel Differential Equation, and the Laguerre Differential Equation. Throughout the book, every term is clearly defined and every theorem lucidly and thoroughly analyzed, and there is an admirable balance between the theory of differential equations and their application. An abundance of solved problems and practice exercises enhances the value of Ordinary Differential Equations as a classroom text for undergraduate students and teaching professionals. The book concludes with an in-depth examination of existence and uniqueness theorems about a variety of differential equations, as well as an introduction to the theory of determinants and theorems about Wronskians.Reprint of the Harper and Row, Publishers, 1963 edition.

Seller Inventory # LU-9780486649405

Title
Ordinary Differential Equations
Author
Morris Tenenbaum, Harry Pollard
Publisher
Dover Publications Inc., US
Publication year
2003
Condition
New
Binding
Paperback
Language
English
ISBN 10
0486649407
ISBN 13
9780486649405
Item weight
847 grams
Series
Book 303 of 303: Dover Books on Mathematics

Rarewaves.com USA

London, London, United Kingdom

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