Mathematical models : mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics
The Resource Mathematical models : mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics Label
 Mathematical models : mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics
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 mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics
 Statement of responsibility
 Richard Haberman
 Language
 eng
 Summary
 The author uses mathematical techniques along with observations and experiments to give an indepth 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 predatorprey and competing species models. Haberman develops the method of characteristics to analyze the nonlinear partial differential equations that describe traffic flow. Fanshaped characteristics describe the traffic situation that occurs when a traffic light turns green and shock waves describe the effects of a red light or traffic accident. Although it was written over 20 years ago, this book is still relevant. It is intended as an introduction to applied mathematics, but can be used for undergraduate courses in mathematical modeling or nonlinear dynamical systems or to supplement courses in ordinary or partial differential equations
 Additional physical form
 Also available in print version.
 Cataloging source
 CaBNVSL
 Illustrations
 illustrations
 Index
 index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Classics in applied mathematics
 Series volume
 21
 Target audience
 adult
1 Items of the Work Mathematical models : mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics
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