By
Clive Dym, Harvey Mudd College, Claremont, California, U.S.A.
Description
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.
Audience:
Students in Mathematical Modeling courses taught in either mathematics or engineering departments; also professional engineers and mathematicians.
