Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow (Classics in Applied Mathematics, Series Number 21)

✍ Scribed by Richard Haberman

• Publisher: Society for Industrial and Applied Mathematics
• Year: 1998
• Tongue: English
• Leaves: 421
• Category: Library

✦ Synopsis

Mathematics is a grand subject in the way it can be applied to various problems in science and engineering. To use mathematics, one needs to understand the physical context. The author uses mathematical techniques along with observations and experiments to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow. Equal emphasis is placed on the mathematical formulation of the problem and the interpretation of the results. In the sections on mechanical vibrations and population dynamics, the author emphasizes the nonlinear aspects of ordinary differential equations and develops the concepts of equilibrium solutions and their stability. He introduces phase plane methods for the nonlinear pendulum and for predator-prey and competing species models.

✦ Table of Contents

ISBN 0898714087
Mathematical Models Mechanical Vibrations, Population Dynamics, and Traffic Flow
Contents
Foreword
Preface to the Classics Edition
Preface
Part 1: Mechanical Vibrations
Part 2: Population Dynamics—Ma th em a tical Ecology
Part 3: Traffic Flow
Index