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A Concrete Approach to Mathematical Modelling
 
 
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A Concrete Approach to Mathematical Modelling [Hardcover]

Mike Mesterton-Gibbons (Author)
4.2 out of 5 stars  See all reviews (5 customer reviews)


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Book Description

0471109606 978-0471109600 April 3, 1995 1
WILEY-INTERSCIENCE PAPERBACK SERIES

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."
—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

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.


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Editorial Reviews

From the Back Cover

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.

About the Author

MIKE MESTERTON-GIBBONS, PhD, is 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

Product Details

  • Hardcover: 624 pages
  • Publisher: Wiley-Interscience; 1 edition (April 3, 1995)
  • Language: English
  • ISBN-10: 0471109606
  • ISBN-13: 978-0471109600
  • Product Dimensions: 9.2 x 6.3 x 1.4 inches
  • Shipping Weight: 2 pounds
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (5 customer reviews)
  • Amazon Best Sellers Rank: #1,814,553 in Books (See Top 100 in Books)

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Customer Reviews

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Average Customer Review
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1 of 1 people found the following review helpful:
5.0 out of 5 stars Outstanding advanced collection of modeling ideas, January 3, 2009
This review is from: A Concrete Approach to Mathematical Modelling (Hardcover)
This is still my favorite book on mathematical modeling. The material is well-suited to a mature graduate audience in applied mathematics, but some of the ideas can be fed into an undergraduate class as well. What I really like about this book is the variety of novel models of real-world systems which I don't see elsewhere. Traffic modeling is discussed here with more realism than I've seen in other texts. This book is not an easy read, but very rewarding to those who persevere.
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3 of 4 people found the following review helpful:
4.0 out of 5 stars Very Good Starting Point for MathModelling, February 13, 1998
By A Customer
This review is from: A Concrete Approach to Mathematical Modelling (Hardcover)
If you want to have most or even all modelling tools stressing interpretation and aplication, this is for me the best source! This is the book for learning to use, interpret and construct you own mathematical models. It starts from the ground, so also suited for self study. It focuses more on the interpretation and aplications but at it's end also on the construction of models. Mesterton-Gibbons has done a brilliant text.
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4.0 out of 5 stars Great reference with excellent examples for a wide range of mathmatical models, October 18, 2009
By 
Russell Kurtz (Bradley Beach, New Jersey USA) - See all my reviews
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"A Concrete Approach to Mathematical Modeling" has a great deal to offer professionals in many industries who are grappling with methods for modeling dynamic systems. Some minor errors were not corrected in the 2nd edition, but are corrected on the author's errata sheet. This minor point should not deter the serious student from delving into the text and its examples whole-heartedly. So, if you are looking for a great overview and provocative modeling examples, this is a great reference. It provided me with new insights and understandings, even with my rusty differential equation and algebra skills.

Russell Kurtz, Ph.D.
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Inside This Book (learn more)
First Sentence:
One of the most useful concepts in mathematical modelling is that of net specific growth rate. Read the first page
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Lake Ontario, Supplementary Notes, United States, Lake Erie, New York, United Kingdom, First Look, Mathematics Department, Probabilistic Dynamics, Great Lakes, Encyclopaedia Britannica, River Cleaning, World War, Choosing the Optimal Parking Space, Class Ages, Department of Mathematics, Fetus Get Glucose, Fishing Fleet Should Be Operational, Forest Be Cut, High Road, Its Mother, Limit-Cycle Ecosystem Model, Professor Strong, Spreading Canal Pollution, The Motorist's Dilemma
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