Rev. ed. of: The art of modeling in science and engineering. c1999.

Includes bibliographical references (p. 499-502) and index.

A first look at modeling -- Analytical tools: the solution of ordinary differential equations -- The use of mathematica in modeling physical systems -- Elementary applications of the conservation laws -- Partial differential equations: classification, types, and properties - some simple transformations -- Solution of linear systems by superposition methods -- Vector calculus: generalized transport equations -- Analytical solutions of partial differential equations.

The Art of Modeling in Science and Engineering with Mathematica' helps readers overcome three common difficulties: the proper choice of model, the absence of precise solutions, and the need to make suitable simplifying assumptions and approximations. It covers a wide range of physical processes and phenomena drawn from various disciplines and clearly illuminates the link between the physical system being modeled and the mathematical expression that results. This second edition incorporates the use of Mathematica in various applications. It also includes new examples on HIV, the rate of carbon dioxide emission to the atmosphere, the manufacture of silicon chips, and the dynamics of hot air balloons and rockets.