Chases and Escapes: The Mathematics of Pursuit and Evasion
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.
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Chapter 1 The Classic Pursuit Problem
Chapter 2 Pursuit of Mostly Maneuvering Targets
Chapter 3 Cyclic Pursuit
Chapter 4 Seven Classic Evasion Problems
Solution to the Challenge Problems of Section 11
Solutions to the Challenge Problems of Section 12
Solution to the Challenge Problem of Section 15
Solution to the Challenge Problem of Section 22
Solution to the Challenge Problem of Section 32
Solution to the Challenge Problem of Section 43
Solution to the Challenge Problem of Section 44
Solution to the Challenge Problem of Section 47