Critical praise for A Concrete Approach to Mathematical Modelling "...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."-SIAM Review "Each chapter discusses a wealth of examples ranging from old standards...to novelty ...Each model is developed critically, analyzed critically, and assessed critically."-Mathematical Reviews Michael Mesterton-Gibbons has done what no author before him could: he has written an in-depth, systematic guide to the art and science of mathematical modelling that's a great read from first page to last. With an abundance of both wit and common sense, he shows readers exactly how the modelling process works, using fascinating real-life examples from virtually every realm of human, machine, natural, and cosmic activity.
You'll find models for determining how fast cars drive through a tunnel; how many workers industry should employ; the length of a supermarket checkout line; how birds should select worms; the best methods for avoiding an automobile accident; and when a barber should hire an assistant; just to name a few. Offering more examples, more detailed explanations, and by far, more sheer enjoyment than any other book on the subject, A Concrete Approach to Mathematical Modelling is the ultimate how-to guide for students and professionals in the hard sciences, social sciences, engineering, computers, statistics, economics, politics, business management, and every other discipline in which mathematical modelling plays a role. Cover Design / Illustration: Keithley Associates, Inc.
Table of Contents
The Deterministic View; Growth and Decay: Dynamical Systems; Equilibrium; Optimal Control and Utility; Validating a Model; Validation: Accept, Improve or Reject; The Probabilistic View; Birth and Death: Probabilistic Dynamics; Stationary Distributions; 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; Further Optimization.
MICHAEL MESTERTON--GIBBONS, PhD, is Assistant Professor of Mathematics at Florida State University. A British citizen, he was educated at the University of York and Oxford University, from which he received his doctorate in mathematics in 1977.