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1 Burnside Mathematics- Differential Equations

Ordinary Differential Equations

by

Ordinary Differential Equations Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Explores integrating factors; dilution and accretion problems; Laplace Transforms; Newton's Interpolation Formulas, more.

Product Details

ISBN:
9780486649405
Author:
Tenenbaum, Morris
Author:
Pollard, Harry
Author:
Mathematics
Publisher:
Dover Publications
Location:
New York :
Subject:
Mathematics
Subject:
Calculus
Subject:
Differential Equations
Subject:
General Mathematics
Subject:
Mathematics-Calculus
Subject:
ordinary differential equations
Subject:
Laplace transforms
Subject:
Newton s Interpolation Formulas
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
no. 1
Publication Date:
19851031
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
848
Dimensions:
8.5 x 5.38 in 1.9 lb

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Ordinary Differential Equations Used Trade Paper
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Product details 848 pages Dover Publications - English 9780486649405 Reviews:
"Synopsis" by ,
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Explores integrating factors; dilution and accretion problems; Laplace Transforms; Newton's Interpolation Formulas, more.
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