Contact us on (02) 8445 2300
For all customer service and order enquiries

Woodslane Online Catalogues

9781470475871 Academic Inspection Copy

Ordinary Differential Equations in the Real World

Description
Author
Biography
Table of
Contents
Google
Preview
This book provides a collection of 130 fully solved problems, each derived from a mathematical model formulated in terms of an ordinary differential equation. As well as the problems, contextual descriptions are provided, grounding each model in its real-world setting. Applications to topics as diverse as physics, biology, engineering, and economics serve to underline the importance of differential equations in many areas of study. The models are collected according to the underlying differential equation, making it a simple task to find the right model to implement within a class. The first chapter provides a catalog of first-order differential equations, which may be solved by elementary methods. The second chapter is concerned with models of exponential and logistic growth, including many models for population growth. Following this, there is a chapter on linear differential systems and equations. The book closes with a collection of problems arising from non-linear models. Here, qualitative methods such as phase portraits are emphasized. The problems are designed for use in an undergraduate differential equations class. Knowledge of basic linear algebra and multivariable calculus is assumed, while an exposure to complex variables for some of the problems would be helpful, but not necessary.
Eva Sanchez, Escuela Tecnica Superior de Ingenieros Industriales, Madrid, Spain, and Joaquin M. Gutierrez, Universidad Politecnica de Madrid, Spain.
Diverse models described by first order ordinary differential equations First order linear equations, second degree equations, and their applications Models described by linear differential systems and equations Nonlineaer models. Qualitative analysis Bibliography Index
Google Preview content