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The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists.
" . . . [a] treasure house of material for students and teachers alike . . . can be dipped into regularly for inspiration and ideas. It deserves to become a classic."
—London Times Higher Education Supplement
"The author succeeds in his goal of serving the needs of the undergraduate population who want to see mathematics in action, and the mathematics used is extensive and provoking."
"Each chapter discusses a wealth of examples ranging from old standards . . . to novelty . . . each model is developed critically, analyzed critically, and assessed critically."
A Concrete Approach to Mathematical Modelling provides in-depth and systematic coverage of the art and science of mathematical modelling. Dr. Mesterton-Gibbons shows how the modelling process works and includes fascinating examples from virtually every realm of human, machine, natural, and cosmic activity. Various models are found throughout the book, including how to determine how fast cars drive through a tunnel, how many workers industry should employ, the length of a supermarket checkout line, and more. With detailed explanations, exercises, and examples demonstrating real-life applications in diverse fields, this book is the ultimate guide for students and professionals in the social sciences, life sciences, engineering, statistics, economics, politics, business and management sciences, and every other discipline in which mathematical modelling plays a role.
Growth and Decay: Dynamical Systems.
Optimal Control and Utility.
VALIDATING A MODEL.
Validation: Accept, Improve, or Reject.
THE PROBABILISTIC VIEW.
Birth and Death: Probabilistic Dynamics.
Optimal Decision and Reward.
THE ART OF APPLICATION.
Using a Model: Choice and Estimation.
Building a Model: Adapting, Extending, and Combining.
TOWARD MORE ADVANCED MODELS.
Further Dynamical Systems.
Further Flow and Diffusion.
Solutions to Selected Exercises.