Ordinary Differential Equations (dover Books On Ma..., De Morris Tenenbaum, Harry Pollard, Mathematics. Editorial Dover Publications En Inglés

Descripción

- Titulo: Ordinary Differential Equations (Dover Books on Mathematics)

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- Autor: Morris Tenenbaum, Harry Pollard, Mathematics
- Idioma: Ingles
- Formato: Papel -Tapa Blanda
- Editorial: Dover Publications
- ISBN-13: 800759649402
- Páginas: 832
- Dimensiones: 21.59cm. x 3.81cm. x 13.97cm.
- Peso: 1.03 kg.

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-Descripción:

This introductory text provides a comprehensive survey of ordinary differential equations—equations which express the relationship between variables and their derivatives. The authors, Morris Tenenbaum of Cornell University, and Harry Pollard of Purdue University, introduce and explain complex concepts in a simple, step-by-step style that maintains mathematical rigor. The book begins with an examination of the origin of differential equations, basic terms, and the general solution of a differential equation. Subsequent sections deal with 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. There are chapters on series methods of solving differential equations, including discussions of the Legendre Differential Equation, Legendre Functions, Legendre Polynomials, the Bessel Differential Equation, and the Laguerre Differential Equation. The text is balanced between the theory of differential equations and their application, with an abundance of solved problems and practice exercises. The book concludes with an in-depth examination of existence and uniqueness theorems for differential equations, as well as an introduction to the theory of determinants and theorems about Wronskians.