Principles of Mathematical Modeling
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.
applied mathematics, computers, mathematics, scaling, mathematical models
Applied Mathematics | Physical Sciences and Mathematics
Clive L. Dym, Principles of Mathematical Modeling, 2nd Edition, Academic Press, 2004.