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

Name: Mathematical models: mechanical vibrations, population dynamics, and traffic flow: an introduction to applied mathematics
ISBN: 9780898714081

Richard Haberman

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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.

Kategorie:

Mathematics

Rok:

1987

Wydawnictwo:

Society for Industrial and Applied Mathematics

Język:

english

Strony:

421

ISBN 10:

0898714087