A Concrete Approach to Mathematical Modelling / Edition 1

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Overview

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

Booknews
A textbook that teaches both critical and creative modeling skills, primarily for a senior-level course that gives equal weight to deterministic and probabilistic modeling. It emphasizes both the validation of mathematical models and the rationale behind improving them. The approach embodies the belief that the three most fundamental ideas in mathematical modeling are transience, permanence, and optimality. The minimal mathematical prerequisites are the standard calculus sequence and first courses in linear algebra, ordinary differential equations, and probability and statistics. Probability and statistics are reviewed in an appendix. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780470171073
  • Publisher: Wiley
  • Publication date: 5/29/2007
  • Edition number: 1
  • Pages: 620
  • Product dimensions: 5.90 (w) x 9.10 (h) x 1.40 (d)

Meet the Author

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

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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.

Epilogue.

Appendices.

Solutions to Selected Exercises.

References.

Index.

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