TABLE OF CONTENTS: Preface to the Paperback Edition xiii What You Need to Know to Read This Book (and How I Learned What I Needed to Know to Write It) xxvii Introduction 1 Chapter 1. The Classic Pursuit Problem 7 - 1.1 Pierre Bouguer's Pirate Ship Analysis 7
- 1.2 A Modern Twist on Bouguer 17
- 1.3 Before Bouguer: The Tractrix 23
- 1.4 The Myth of Leonardo da Vinci 27
- 1.5 Apollonius Pursuit and Ramchundra's Intercept Problem 29
Chapter 2. Pursuit of (Mostly) Maneuvering Targets 41 - 2.1 Hathaway's Dog-and-Duck Circular Pursuit Problem 41
- 2.2 Computer Solution of Hathaway's Pursuit Problem 52
- 2.3 Velocity and Acceleration Calculations for a Moving Body 64
- 2.4 Houghton's Problem: A Circular Pursuit That Is Solvable in Closed Form 78
- 2.5 Pursuit of Invisible Targets 85
- 2.6 Proportional Navigation 93
Chapter 3. Cyclic Pursuit 106 - 3.1 A Brief History of the n-Bug Problem, and Why It Is of Practical Interest 106
- 3.2 The Symmetrical n-Bug Problem 110
- 3.3 Morley's Nonsymmetrical 3-Bug Problem 116
Chapter 4. Seven Classic Evasion Problems 128 - 4.1 The Lady-in-the-Lake Problem 128
- 4.2 Isaacs's Guarding-the-Target Problem 138
- 4.3 The Hiding Path Problem 143
- 4.4 The Hidden Object Problem: Pursuit and Evasion as a Simple Two-Person, Zero-Sum Game of Attack-and-Defend 156
- 4.5 The Discrete Search Game for a Stationary Evader -- Hunting for Hiding Submarines 168
- 4.6 A Discrete Search Game with a Mobile Evader -- Isaacs's Princess-and-Monster Problem 174
- 4.7 Rado's Lion-and-Man Problem and Besicovitch's Astonishing Solution 181
Appendix A Solution to the Challenge Problems of Section 1.1 187 Appendix B Solutions to the Challenge Problems of Section 1.2 190 Appendix C Solution to the Challenge Problem of Section 1.5 198 Appendix D Solution to the Challenge Problem of Section 2.2 202 Appendix E Solution to the Challenge Problem of Section 2.3 209 Appendix F Solution to the Challenge Problem of Section 2.5 214 Appendix G Solution to the Challenge Problem of Section 3.2 217 Appendix H Solution to the Challenge Problem of Section 4.3 219 Appendix I Solution to the Challenge Problem of Section 4.4 222 Appendix J Solution to the Challenge Problem of Section 4.7 224 Appendix K Guelman's Proof 229 Notes 235 Bibliography 245 Acknowledgments 249 Index 251 Return to Book Description File created: 7/11/2014 |