Chases and escapes : the mathematics of pursuit and evasion / Paul J. Nahin, with a new preface by the author.

Format:

Book

Author/Creator:

Nahin, Paul J.

Series:

Princeton puzzlers.

Princeton puzzlers

Language:

English

Subjects (All):

Differential games.

Physical Description:

1 online resource (285 p.)

Edition:

With a New preface by the author

Place of Publication:

Princeton : Princeton University Press, 2012, c2007.

Language Note:

English

Summary:

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.Some images inside the book are unavailable due to digital copyright restrictions.

Contents:

Frontmatter

Contents

Preface to the Paperback Edition

What You Need to Know to Read This Book (and How I Learned What I Needed to Know to Write It)

Introduction

Chapter 1. The Classic Pursuit Problem

Chapter 2. Pursuit of (Mostly) Maneuvering Targets

Chapter 3. Cyclic Pursuit

Chapter 4. Seven Classic Evasion Problems

Appendix A. Solution to the Challenge Problems of Section 1.1

Appendix B. Solutions to the Challenge Problems of Section 1.2

Appendix C. Solution to the Challenge Problem of Section 1.5

Appendix D. Solution to the Challenge Problem of Section 2.2

Appendix E. Solution to the Challenge Problem of Section 2.3

Appendix F. Solution to the Challenge Problem of Section 2.5

Appendix G. Solution to the Challenge Problem of Section 3.2

Appendix H. Solution to the Challenge Problem of Section 4.3

Appendix I. Solution to the Challenge Problem of Section 4.4

Appendix J. Solution to the Challenge Problem of Section 4.7

Appendix K. Guelman's Proof

Notes

Bibliography

Acknowledgments

Index

Backmatter

Notes:

"Third printing, and first paperback printing, with a new preface, for the Princeton Puzzlers series, 2012."

Includes bibliographical references and index.

ISBN:

1-4008-4206-9

OCLC:

794491909