Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow : An Introduction to Applied Mathematics

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Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow : An Introduction to Applied Mathematics image
ISBN-10:

0135617383

ISBN-13:

9780135617380

Edition: First Edition
Released: Jan 01, 1977
Publisher: PRENTICE/HALL
Format: Hardcover, 402 pages
Related ISBN: 9780898714081

Description:

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.

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