A Concrete Approach to Mathematical Modelling (eBook)

Mike Mesterton-Gibbons (Autor)

eBook Download: PDF

2011 | 1. Auflage
620 Seiten
John Wiley & Sons (Verlag)
9781118030646 (ISBN)

Infos

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

Mike 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.

An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.

Cover Design / Illustration: Keithley Associates, Inc.

Autor

Mike Mesterton-Gibbons, PhD, is Professor of Mathematics at Florida State University.

Inhalt

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.

Epilogue.

Appendices.

Solutions to Selected Exercises.

References.

Index.

Produkt-Details

• Erscheint lt. Verlag: 21.2.2011
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Technik
• Schlagworte: Angewandte Mathematik • Applied mathematics • Applied Mathematics in Science • Mathematics • Mathematik • Mathematik in den Naturwissenschaften
• ISBN-13: 9781118030646 / 9781118030646