Principles of Mathematical Modeling

Principles of Mathematical Modeling

by Clive L. Dym
     
 

"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

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Overview

"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.

Features:
* Covers a wide range of interdisciplinary topics
* Includes more than 360 problems ideal for formal courses or self study
* Clear and lively exposition

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Product Details

ISBN-13:
9780122265501
Publisher:
Elsevier Science & Technology Books
Publication date:
01/28/1980
Series:
Computer Science and Applied Mathematics Series
Edition description:
Older Edition
Pages:
280
Product dimensions:
6.00(w) x 9.00(h) x 0.75(d)

Table of Contents

Pt. AFoundations1
Ch. 1What is mathematical modeling?3
Ch. 2Dimensional analysis13
Ch. 3Scale33
Ch. 4Approximating and validating models71
Pt. BApplications115
Ch. 5Exponential growth and decay117
Ch. 6Traffic flow models151
Ch. 7Modeling free vibration175
Ch. 8Applying vibration models211
Ch. 9Optimization : what is the best ...?247

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