Mathematical Models: Mechanical Vibrations, Population Dynamics,… | 0898714087 9780898714081 PDF

Mathematical Models: Mechanical Vibrations, Population Dynamics,... PDF Download

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Author: Richard Haberman
ISBN-10: 0898714087 ISBN-13: 9780898714081

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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