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    Ordinary Differential Equations: An Elementary Textbook for Students of Mathematics, Engineering and the Sciences (Dover Books on Mathematics) (Paperback) By (author) M. Tenenbaum, By (author) H. Pollard

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    DescriptionThis 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.


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  • Full bibliographic data for Ordinary Differential Equations

    Title
    Ordinary Differential Equations
    Subtitle
    An Elementary Textbook for Students of Mathematics, Engineering and the Sciences
    Authors and contributors
    By (author) M. Tenenbaum, By (author) H. Pollard
    Physical properties
    Format: Paperback
    Number of pages: 818
    Width: 136 mm
    Height: 214 mm
    Thickness: 44 mm
    Weight: 839 g
    Language
    English
    ISBN
    ISBN 13: 9780486649405
    ISBN 10: 0486649407
    Classifications

    BIC E4L: MAT
    Nielsen BookScan Product Class 3: S7.8
    B&T Book Type: NF
    B&T Merchandise Category: SCI
    B&T General Subject: 710
    Ingram Subject Code: MA
    Libri: I-MA
    Warengruppen-Systematik des deutschen Buchhandels: 26270
    LC subject heading:
    DC22: 515.35
    LC subject heading:
    BISAC V2.8: MAT005000
    BIC subject category V2: PBKJ
    DC19: 515.352
    BISAC V2.8: MAT007000
    DC22: 515.3/5
    LC classification: QA372 .T4 1985, QA372.T4 1
    Dover Categories: , ,
    Thema V1.0: PBKJ
    Edition
    New edition
    Edition statement
    New edition
    Illustrations note
    diagrams
    Publisher
    Dover Publications Inc.
    Imprint name
    Dover Publications Inc.
    Publication date
    22 September 1986
    Publication City/Country
    New York