Chases and Escapes: The Mathematics of Pursuit and Evasion

By Paul J. Nahin | Go to book overview
Contents
Preface to the Paperback Editionxiii
What You Need to Know to Read This Book (and How I Learned What I Needed to Know to Write It)xxvii
Introduction1
Chapter 1.
The Classic Pursuit Problem7
1.1 Pierre Bouguer’s Pirate Ship Analysis7
1.2 A Modern Twist on Bouguer17
1.3 Before Bouguer: The Tractrix23
1.4 The Myth of Leonardo da Vinci27
1.5 Apollonius Pursuit and Ramchundra’s Intercept Problem29
Chapter 2.
Pursuit of (Mostly) Maneuvering Targets41
2.1 Hathaway’s Dog-and-Duck Circular Pursuit Problem41
2.2 Computer Solution of Hathaway’s Pursuit Problem52
2.3 Velocity and Acceleration Calculations for a Moving Body64

-ix-

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