Differential Equations
A First Course
Brooks/Cole (Publisher)
3rd Edition
Published on 1. November 1997
Book
Hardback
680 pages
978-0-03-072878-5 (ISBN)
Description
This comprehensive text suitable for math, science, and engineering majors, treats standard elementary topics such as undetermined coefficients, systems of differential equations, substitutions and chemical reactions. Students benefit from the conceptual approach, motivated by detailed physical and mathematical examples. Previous exposure to linear algebra or vectors is not assumed: all necessary linear algebra techniques are introduces as needed with respect to systems of differential equations. Early and consistent notation emphasizes the characteristic polynomial, suggests shortcuts such as the exponential shift, and leads to a natural, unified understanding of undetermined coefficients. Expanded treatment of the qualitative theory of linear systems, especially as applied to nonlinear systems, includes new sections on Interacting Populations, Constants of Motion, Lyapunov Functions, and Limit Cycles and Chaos. BASIC computer programs on approximation algorithms illustrate the use of technology in numerical methods.
More details
Edition
3rd Revised edition
Language
English
Place of publication
CA
United States
Publishing group
Cengage Learning, Inc
Target group
College/higher education
Professional and scholarly
Edition type
Revised edition
Illustrations
illustrations
Dimensions
Height: 248 mm
Width: 190 mm
Weight
1429 gr
ISBN-13
978-0-03-072878-5 (9780030728785)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Content
First-Order Equations. Linear Differential Equations. Linear Systems of Differential Equations. Qualitative Theory of Systems of O.D.E.'S. The Laplace Transform. Linear Equations with Variable Coefficients: Power Series. Numerical Approximation of Solutions. Partial Differential Equations: Fourier Series Supplementary. Reading List. Answers to Odd-Numbered Exercises. Index.