Ordinary Differential Equations: An Elementary Textbook for Students of Mathematics, Engineering and the Sciences

Ordinary Differential Equations: An Elementary Textbook for Students of Mathematics, Engineering and the Sciences

Paperback Dover Books on Mathematics

By (author) M. Tenenbaum, By (author) H. Pollard

$21.76
List price $39.04
You save $17.28 44% off

Free delivery worldwide
Available
Dispatched in 3 business days
When will my order arrive?

  • Publisher: Dover Publications Inc.
  • Format: Paperback | 818 pages
  • Dimensions: 136mm x 214mm x 44mm | 839g
  • Publication date: 22 September 1986
  • Publication City/Country: New York
  • ISBN 10: 0486649407
  • ISBN 13: 9780486649405
  • Edition: New edition
  • Edition statement: New edition
  • Illustrations note: d.
  • Sales rank: 53,035

Product description

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.

Other people who viewed this bought:

Showing items 1 to 10 of 10

Other books in this category

Showing items 1 to 10 of 10