Written by highly experienced instructors, this text provides readers with a fundamental understanding of how mathematics is applied to problems in science and engineering. Taking a case study approach, the authors consider problems that arise in industrial and scientific research laboratory applications. For each problem, the authors discuss why a mathematical model is needed and what is to be accomplished with the model. The book emphasizes the design of experiments that can be used to validate the development of mathematical models. In this context, both hardware and software tools are...

These notes are based on (i) a series of lectures that I gave at the 14th Biennial Seminar of the Canadian Mathematical Congress held at the University of Western Ontario August 12-24, 1973 and (li) some of my lectures in a modeling course that I have cotaught in the Division of Bio-Medical Sciences at Brown during the past several years. An earlier version of these notes appeared in the Center for Dynamical Systems Lectures Notes series (CDS LN 73-1, November 1973). I have in this revised and extended version of those earlier notes incorporated a number of changes based both on classroom...