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Science and engineering students depend heavily on concepts of
mathematical modeling. In an age where almost everything is done on
a computer, author Clive Dym believes that students need to
understand and "own" the underlying mathematics that computers are
doing on their behalf. His goal for Principles of Mathematical
Modeling, Second Edition, is to engage the student reader in
developing a foundational understanding of the subject that will
serve them well into their careers.
The first half of the book begins with a clearly defined set of
modeling principles, and then introduces a set of foundational
tools including dimensional analysis, scaling techniques, and
approximation and validation techniques. The second half
demonstrates the latest applications for these tools to a broad
variety of subjects, including exponential growth and decay in
fields ranging from biology to economics, traffic flow, free and
forced vibration of mechanical and other systems, and optimization
problems in biology, structures, and social decision making.
Prospective students should have already completed courses in
elementary algebra, trigonometry, and first-year calculus and have
some familiarity with differential equations and basic
physics.
* Serves as an introductory text on the development and application
of mathematical models
* Focuses on techniques of particular interest to engineers,
scientists, and others who model continuous systems
* Offers more than 360 problems, providing ample opportunities for
practice
* Covers a wide range of interdisciplinary topics--from engineering
to economics to the sciences
* Uses straightforward language and explanations that make modeling
easy to understand and apply
New to this Edition:
* A more systematic approach to mathematical modeling, outlining
ten specific principles
* Expanded and reorganized chapters that flow in an increasing
level of complexity
* Several new problems and updated applications
* Expanded figure captions that provide more information
* Improved accessibility and flexibility for teaching
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