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050  4 QA272|b.N34 2012eb 
072  7 MAT|x011000|2bisacsh 
072  7 MAT003000|2bisacsh 
072  7 MAT025000|2bisacsh 
082 04 519.3/2|222 
100 1  Nahin, Paul J. 
245 10 Chases and escapes :|bthe mathematics of pursuit and 
       evasion /|cPaul J. Nahin, with a new preface by the 
       author. 
260    Princeton :|bPrinceton University Press,|c2012, 2007. 
300    1 online resource (xxviii, 253 pages) :|billustrations. 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
490 1  Princeton Puzzlers 
500    "Third printing, and first paperback printing, with a new 
       preface, for the Princeton Puzzlers series, 2012." 
504    Includes bibliographical references and index. 
505 0  Cover; Introduction; Title Page; Copyright Page; 
       Dedication Page; Table of 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); 
       Chapter 1. The Classic Pursuit Problem; 1.1 Pierre 
       Bouguer's Pirate Ship Analysis; 1.2 A Modern Twist on 
       Bouguer; 1.3 Before Bouguer: The Tractrix; 1.4 The Myth of
       Leonardo da Vinci; 1.5 Apollonius Pursuit and Ramchundra's
       Intercept Problem; Chapter 2. Pursuit of (Mostly) 
       Maneuvering Targets; 2.1 Hathaway's Dog-and-Duck Circular 
       Pursuit Problem. 
505 8  2.2 Computer Solution of Hathaway's Pursuit Problem2.3 
       Velocity and Acceleration Calculations for a Moving Body; 
       2.4 Houghton's Problem: A Circular Pursuit That Is 
       Solvable in Closed Form; 2.5 Pursuit of Invisible Targets;
       2.6 Proportional Navigation; Chapter 3. Cyclic Pursuit; 
       3.1 A Brief History of the n-Bug Problem, and Why It Is of
       Practical Interest; 3.2 The Symmetrical n-Bug Problem; 3.3
       Morley's Nonsymmetrical 3-Bug Problem; Chapter 4. Seven 
       Classic Evasion Problems; 4.1 The Lady-in-the-Lake 
       Problem; 4.2 Isaacs's Guarding-the-Target Problem; 4.3 The
       Hiding Path Problem. 
505 8  4.4 The Hidden Object Problem: Pursuit and Evasion as a 
       Simple Two-Person, Zero-Sum Game of Attack-and-Defend4.5 
       The Discrete Search Game for a Stationary Evader -- 
       Hunting for Hiding Submarines; 4.6 A Discrete Search Game 
       with a Mobile Evader -- Isaacs's Princess-and-Monster 
       Problem; 4.7 Rado's Lion-and-Man Problem and Besicovitch's
       Astonishing Solution; 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. 
505 8  Appendix D: Solution to the Challenge Problem of Section 
       2.2Appendix 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. 
520    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 a. 
650  0 Differential games. 
650  7 MATHEMATICS|xGame Theory.|2bisacsh 
650  7 MATHEMATICS|xApplied.|2bisacsh 
650  7 Differential games.|2fast|0(OCoLC)fst00893492 
776 08 |iPrint version:|aNahin, Paul J.|tChases and escapes.
       |dPrinceton : Princeton University Press, 2012, 2007
       |w(DLC)  2006051392 
830  0 Princeton puzzlers. 
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