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Ordinary Differential Equations (Dover Books on Mathematics) By M. Tenenbaum, H
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Item specifics
- Condition
- Title
- Ordinary Differential Equations (Dover Books on Mathematics)
- ISBN
- 9780486649405
- Publication Year
- 1986
- Type
- Textbook
- Format
- Paperback
- Language
- English
- Publication Name
- Ordinary Differential Equations
- Item Height
- 216mm
- Publisher
- Dover Publications Inc.
- Item Width
- 137mm
- Subject
- Mathematics
- Item Weight
- 847g
- Number of Pages
- 818 Pages
About this product
Product Information
This unusually well-written, skillfully organised 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 analysed, 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.
Product Identifiers
Publisher
Dover Publications Inc.
ISBN-13
9780486649405
eBay Product ID (ePID)
88928794
Product Key Features
Publication Name
Ordinary Differential Equations
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
1986
Type
Textbook
Number of Pages
818 Pages
Dimensions
Item Height
216mm
Item Width
137mm
Item Weight
847g
Additional Product Features
Series Title
Dover Books on Mathematics
Country/Region of Manufacture
United States
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eBay item number:295940170290
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