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...