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"Principles of Mathematical Modeling is a delightfully readable, well-written account of the way engineers look at the world. It covers a surprizingly wide range of topics...The many examples treated in the text are drawn from the practical world that engineers inhabit., with some surprises thrown in for good measure..."
-Robert Borelli, Harvey Mudd College
"The book itself is marvelously interdisciplinary, treating biological and human- designed systems in addition to physical systems. These examples show that engineers can do more than simply analyze simple physical systems with known, exact solutions."
-Bill Wood, University of Maryland at Baltimore
Principles of Mathematical Modeling, Second Edition, begine with a clearly defined set of modeling principles, and then introduces a set of foundational tools (dimentional analysis, scaling techniques, and approximation and validation techniques).
It then applies these foundational tools to a broad variety of subjects in fields ranging from biology to economicsl including traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. The author has expanded these chapters and reordered them to reflect a gradual-step approach with increased complexity.
* Covers a wide range of interdisciplinary topics
* Includes more than 360 problems ideal for formal courses or self study
* Clear and lively exposition
Audience: "Mathematical Modeling" courses typically taught in mathematics departments, but also occasionally in engineering schools.
|Ch. 1||What is mathematical modeling?||3|
|Ch. 2||Dimensional analysis||13|
|Ch. 4||Approximating and validating models||71|
|Ch. 5||Exponential growth and decay||117|
|Ch. 6||Traffic flow models||151|
|Ch. 7||Modeling free vibration||175|
|Ch. 8||Applying vibration models||211|
|Ch. 9||Optimization : what is the best ...?||247|