Designed for a one-semester course, the book progresses from problems that can be solved with relatively simple mathematics to ones that require more sophisticated methods. The math techniques are taught as needed to solve the problem being addressed, and each chapter is designed to be largely independent to give teachers flexibility.
The book, which can be used as an overview and introduction to applied mathematics, is particularly suitable for sophomore, junior, and senior students in math, science, and engineering.
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.Serves as an introductory text on the development and application of mathematical modelsFocuses on techniques of particular interest to engineers, scientists, and others who model continuous systemsOffers more than 360 problems, providing ample opportunities for practiceCovers a wide range of interdisciplinary topics--from engineering to economics to the sciencesUses straightforward language and explanations that make modeling easy to understand and apply
New to this Edition:A more systematic approach to mathematical modeling, outlining ten specific principlesExpanded and reorganized chapters that flow in an increasing level of complexitySeveral new problems and updated applicationsExpanded figure captions that provide more informationImproved accessibility and flexibility for teaching