Ordinary Differential Equations by H. Pollard, M. Tenenbaum (Paperback, 1986)

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Author : Tenenbaum, M. Publisher : Dover Publications Inc. Width : 14.1 cm. Height : 4.3 cm. Length : 21.6 cm. Product Category : Books. Over 23 million. Dust cover is intact and pages are clean and not marred by notes.

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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

PublisherDover Publications Inc.
ISBN-139780486649405
eBay Product ID (ePID)88928794

Product Key Features

Number of Pages818 Pages
Publication NameOrdinary Differential Equations
LanguageEnglish
SubjectMathematics
Publication Year1986
TypeTextbook
AuthorH. Pollard, M. Tenenbaum
SeriesDover Books on Mathematics
FormatPaperback

Dimensions

Item Height216 mm
Item Weight847 g
Item Width137 mm

Additional Product Features

Country/Region of ManufactureUnited States
Title_AuthorM. Tenenbaum, H. Pollard

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  • A classic for a very good reason

    An excellent introductory book to ODEs. Best place to start!

    Verified purchase: YesCondition: Pre-owned