Douglas R. Shier

Department of Mathematical Sciences

Clemson University

Clemson, SC 29634-0975

K. T. Wallenius

Department of Mathematical Sciences

Clemson University

Clemson, SC 29634-0975

Abstract: This book provides a collection of models illustrating the power and richness of the mathematical sciences in supplying insight into the operation of real-world systems. It is intended to fill a gap in contemporary modeling books by focusing on applications across a broad range of disciplines: the natural and physical sciences, statistics, computer science, and operations research. The first portion of the book discusses the general components of the modeling process, the benefits of modeling, and the evolutionary nature of model building. The second portion provides a rich compendium of sixteen case studies, each one complete with examples, exercises, and projects.

Key Words: coding theory, communication networks, cryptography, demography, dynamical systems, economics, environmental engineering, hydrology, manufacturing, mathematical sciences, modeling, physics, polymer chemistry