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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 st… Read more
SUSTAINABLE DEVELOPMENT
Save up to 30% on top Physical Sciences & Engineering titles!
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.
New to this Edition:
Part A: Foundations
1. What is Mathematical Modeling?
2. Dimensional Analysis
3. Scale
4. Approximating and Validating Models
Part B: Applications
5. Exponential Growth and Decay
6. Traffic Flow Models
7. Modeling Free Vibration
8. Applying Vibration Models
9. Optimization: What is the Best...?
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Dr. Dym is a Fellow of the Acoustical Society of America, the American Society of Mechanical Engineers, the American Society of Civil Engineers and the American Society for Engineering Education, and is a Member of the American Academy of Mechanics. Dr. Dym’s awards include the Walter L. Huber Research Prize (ASCE, 1980), the Western Electric Fund Award (ASEE, 1983), the Boeing Outstanding Educator Award (first runner-up, 2001), the Fred Merryfield Design Award (ASEE, 2002), the Joel and Ruth Spira Outstanding Design Educator Award (ASME, 2004), the Archie Higdon Distinguished Educator Award (Mechanics Division, ASEE, 2006), the Gordon Prize for Innovation in Engineering and Technology Education (co-winner, National Academy of Engineering, 2012), the Benjamin Garver Lamme Award (ASEE, 2015), and the 1st Design Theory and Methodology Award (ASME, 2015).