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Chases and Escapes: The Mathematics of Pursuit and Evasion
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Chases and Escapes: The Mathematics of Pursuit and Evasion Paperback - 2012

by Paul J. Nahin

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Reader reviews for Chases and Escapes: The Mathematics of Pursuit and Evasion

From the publisher

We all played tag when we were kids. What most of us don't realize is that this simple chase game is in fact an application of pursuit theory, and that the same principles of games like tag, dodgeball, and hide-and-seek are also at play in military strategy, high-seas chases by the Coast Guard, and even romantic pursuits. In Chases and Escapes, Paul Nahin gives us the first complete history of this fascinating area of mathematics, from its classical analytical beginnings to the present day.

Drawing on game theory, geometry, linear algebra, target-tracking algorithms, and much more, Nahin also offers an array of challenging puzzles with their historical background and broader applications. Chases and Escapes includes solutions to all problems and provides computer programs that readers can use for their own cutting-edge analysis.

Now with a gripping new preface on how the Enola Gay escaped the shock wave from the atomic bomb dropped on Hiroshima, this book will appeal to anyone interested in the mathematics that underlie pursuit and evasion.

From the rear cover

"Nahin provides beautiful applications of calculus, differential equations, and game theory. If you are pursuing an enjoyable collection of mathematical problems and the stories behind them, then your search ends here."--Arthur Benjamin, Harvey Mudd College

"I know of no better way to grasp the basic concepts of calculus than to study pursuit-and-escape problems. Paul Nahin has made a superb survey of the vast field of such problems, from Zeno's paradox of Achilles and the tortoise through the famous four bugs that once made the cover of Scientific American. Not only does he make clear the required differential equations, but he traces each problem's colorful history. No book on the topic could be more definitive or a greater pleasure to read."--Martin Gardner

"Chases and Escapes is a superb treatment of the solutions to a variety of pursuit-evasion problems, some classic and others more contemporary. The content is accessible to undergraduates in mathematics or the physical sciences, with lots of supporting detail included. The author's lively writing style makes for enjoyable reading."--David M. Burton, University of New Hampshire

"This is a well-written and novel book that is comprehensively researched and enthusiastically presented. Nahin offers a very good mixture of elegant math and lively historical interludes. I wasn't aware the topic had such a rich history and wide scope."--Desmond Higham, University of Strathclyde

Details

  • Title Chases and Escapes: The Mathematics of Pursuit and Evasion
  • Author Paul J. Nahin
  • Binding Paperback
  • Edition New
  • Pages 272
  • Volumes 1
  • Language ENG
  • Publisher Princeton University Press
  • Publication date 2012-07-22
  • Features Bibliography, Index, Table of Contents
  • ISBN 9780691155012 / 0691155011
  • Weight 0.6 lbs (0.27 kg)
  • Dimensions 8.3 x 5.5 x 0.9 in (21.08 x 13.97 x 2.29 cm)
  • Category Mathematics
  • Dewey Decimal Code 519.32

About the author

Paul J. Nahin is the best-selling author of many popular math books, including Mrs. Perkins's Electric Quilt, Digital Dice, Dr. Euler's Fabulous Formula, When Least Is Best, and An Imaginary Tale (all Princeton). He is professor emeritus of electrical engineering at the University of New Hampshire.

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Chases and Escapes: The Mathematics Of Pursuit And Evasion (Princeton Puzzlers)

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Chases and Escapes: The Mathematics of Pursuit and Evasion (Princeton Puzzlers)
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by Nahin, Paul J.

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