A Concrete Approach to Mathematical Modelling

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John Wiley & Sons, Feb 14, 2011 - Mathematics - 620 pages
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WILEY-INTERSCIENCE PAPERBACK SERIES

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" . . . [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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Contents

II Validating a Model
125
III The Probabilistic View
173
IV The Art of Application
273
V Toward More Advanced Models
381
Epilogue
514
Appendix 1 A review of probability and statistics
516
Appendix 2 Models sources and further reading arranged by discipline
531
Solutions to selected exercises
539
References
583
Index
591
Copyright

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About the author (2011)

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

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