## Chases and Escapes: The Mathematics of Pursuit and EvasionWe 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 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. 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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### Contents

Chapter 1 The Classic Pursuit Problem | 7 |

Chapter 2 Pursuit of Mostly Maneuvering Targets | 41 |

Chapter 3 Cyclic Pursuit | 106 |

Chapter 4 Seven Classic Evasion Problems | 128 |

Solution to the Challenge Problems of Section 11 | 187 |

Solutions to the Challenge Problems of Section 12 | 190 |

Solution to the Challenge Problem of Section 15 | 198 |

Solution to the Challenge Problem of Section 22 | 202 |

Solution to the Challenge Problem of Section 32 | 217 |

Solution to the Challenge Problem of Section 43 | 219 |

Solution to the Challenge Problem of Section 44 | 222 |

Solution to the Challenge Problem of Section 47 | 224 |

Guelmans Proof | 229 |

Notes | 235 |

245 | |

Acknowledgments | 249 |