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Concrete Approach to Mathematical Modelling

ISBN-10: 0470171073
ISBN-13: 9780470171073
Edition: 1995
List price: $154.00 Buy it from $30.44
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Description: 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  More...

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Book details

List price: $154.00
Copyright year: 1995
Publisher: John Wiley & Sons, Incorporated
Publication date: 5/18/2007
Binding: Paperback
Pages: 620
Size: 6.00" wide x 9.00" long x 1.50" tall
Weight: 1.914
Language: English

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. 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.

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

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

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