The Resource Mathematical models : mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics, Richard Haberman, (electronic resource)

Mathematical models : mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics, Richard Haberman, (electronic resource)

Label
Mathematical models : mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics
Title
Mathematical models
Title remainder
mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics
Statement of responsibility
Richard Haberman
Creator
Contributor
Subject
Language
eng
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
Member of
Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
http://library.link/vocab/creatorDate
1945-
http://library.link/vocab/creatorName
Haberman, Richard
Dewey number
511/.8
Illustrations
illustrations
Index
index present
LC call number
QA37.2
LC item number
.H2 1998eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Society for Industrial and Applied Mathematics
Series statement
Classics in applied mathematics
Series volume
21
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematical models
  • Vibration
  • Ecology
  • Traffic flow
Target audience
adult
Label
Mathematical models : mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics, Richard Haberman, (electronic resource)
Link
http://libraries.ou.edu/access.aspx?url=http://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl21
Instantiates
Publication
Note
"This SIAM edition is an unabridged republication of the work first published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1977"--T.p. verso
Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
Foreword -- Preface to the Classics edition -- Preface -- Part 1. Mechanical vibrations. introduction to mathematical models in the physical sciences -- Part 2. Population dynamics - mathematical ecology -- Part 3. Traffic flow -- Index
Dimensions
unknown
Extent
1 electronic text (xvii, 402 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611971156
Isbn Type
(electronic bk.)
Other physical details
ill., digital file.
Publisher number
CL21
Reformatting quality
access
Specific material designation
remote
System control number
  • 3862489-01okla_normanlaw
  • (SIRSI)3862489
  • (Sirsi) i9781611971156
  • (CaBNVSL)gtp00547359
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader
Label
Mathematical models : mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics, Richard Haberman, (electronic resource)
Link
http://libraries.ou.edu/access.aspx?url=http://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl21
Publication
Note
"This SIAM edition is an unabridged republication of the work first published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1977"--T.p. verso
Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
Foreword -- Preface to the Classics edition -- Preface -- Part 1. Mechanical vibrations. introduction to mathematical models in the physical sciences -- Part 2. Population dynamics - mathematical ecology -- Part 3. Traffic flow -- Index
Dimensions
unknown
Extent
1 electronic text (xvii, 402 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611971156
Isbn Type
(electronic bk.)
Other physical details
ill., digital file.
Publisher number
CL21
Reformatting quality
access
Specific material designation
remote
System control number
  • 3862489-01okla_normanlaw
  • (SIRSI)3862489
  • (Sirsi) i9781611971156
  • (CaBNVSL)gtp00547359
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

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