Mathematical models : mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics /

Mathematical models : mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics /

Saved in:

Bibliographic Details
Author / Creator:	Haberman, Richard, 1945-
Imprint:	Philadelphia : Society for Industrial and Applied Mathematics, ©1998.
Description:	1 online resource (xvii, 402 pages) : illustrations.
Language:	English
Series:	Classics in applied mathematics ; 21 Classics in applied mathematics ; 21.
Subject:	Mathematics. Mathematical models. Vibration -- Mathematical models. Ecology -- Mathematical models. Traffic flow -- Mathematical models. Mathematics -- Mathematical models. Ecology. Traffic flow. Traffic flow. Ecology. Ecology -- Mathematical models. Mathematical models. Mathematics. Traffic flow -- Mathematical models. Vibration -- Mathematical models.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12577615

Hidden Bibliographic Details
Varying Form of Title:	Mathematical Models Mechanical Vibrations, Populations Dynamics and Traffic Flow
ISBN:	0898714087 9780898714081 1611971152 9781611971156
Notes:	"This SIAM edition is an unabridged republication of the work first published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1977"--Title page verso. Includes bibliographical references and index. English.
Summary:	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. Haberman develops the method of characteristics to analyze the nonlinear partial differential equations that describe traffic flow. Fan-shaped 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.

Description
Summary:	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.<br> <br> 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.<br> <br> Haberman develops the method of characteristics to analyze the nonlinear partial differential equations that describe traffic flow. Fan-shaped 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.<br> <br> 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.
Item Description:	"This SIAM edition is an unabridged republication of the work first published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1977"--Title page verso.
Physical Description:	1 online resource (xvii, 402 pages) : illustrations.
Bibliography:	Includes bibliographical references and index.
ISBN:	0898714087 9780898714081 1611971152 9781611971156