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作者 Nahin, Paul J
書名 Chases and escapes : the mathematics of pursuit and evasion / Paul J. Nahin
出版項 Princeton, N.J. ; Woodstock : Princeton University Press, 2012
國際標準書號 9780691155012 (pbk.)
0691155011
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 資訊所圖書室圖書區  G1.7 N153 2012    在架上    30330000223854
版本 New ed. / with a new preface by the author
說明 253 p. : ill. ; 22 cm
附註 Previous ed.: 2007
Includes bibliographical references and index
Ideal both for self-study and as supplemental readings by students and/or professors in any of the mathematical and physical sciences, this text presents the historical development of the differential equations of pursuit theory
What You Need to Know to Read This Book (and How I Learned What I Needed to Know to Write It) xiii 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
主題 Differential games
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