Ordinary Differential Equations Tenenbaum Pollard Dover Pubs New Softcover Book

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Artikelmerkmale

Artikelzustand
Neu: Neues, ungelesenes, ungebrauchtes Buch in makellosem Zustand ohne fehlende oder beschädigte ...
ISBN
9780486649405
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
Dover Publications, Incorporated
ISBN-10
0486649407
ISBN-13
9780486649405
eBay Product ID (ePID)
127442723

Product Key Features

Number of Pages
832 Pages
Language
English
Publication Name
Ordinary Differential Equations
Subject
Differential Equations / Ordinary, Differential Equations / General
Publication Year
1985
Type
Textbook
Subject Area
Mathematics
Author
Harry Pollard, Morris Tenenbaum
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Height
1.6 in
Item Weight
32.7 Oz
Item Length
8.5 in
Item Width
5.4 in

Additional Product Features

Intended Audience
College Audience
LCCN
85-012983
Dewey Edition
19
Illustrated
Yes
Dewey Decimal
515.3/5
Edition Description
Reprint,New Edition
Synopsis
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more., 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., 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.
LC Classification Number
QA372.T4 1

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