MARC Record from marc_columbia

LEADER: 04575cam a22004814a 4500
001 11735286
005 20160321130953.0
008 060824s2007 njua b 001 0 eng
010 $a 2006051392
015 $aGBA722551$2bnb
016 7 $a013699472$2Uk
019 $a494127969
020 $a9780691125145$q(acid-free paper)
020 $a0691125147$q(acid-free paper)
035 $a(OCoLC)ocm71237497
035 $a(OCoLC)71237497$z(OCoLC)494127969
035 $a(NNC)11735286
040 $aDLC$beng$cDLC$dBAKER$dUKM$dBTCTA$dC#P$dYDXCP$dCQU$dDEBBG$dOCL$dEUM$dOCL$dZWZ$dCWI$dTUU$dBDX$dOCLCF$dOCLCQ
050 00 $aQA272$b.N34 2007
082 00 $a519.3/2$222
100 1 $aNahin, Paul J.
245 10 $aChases and escapes :$bthe mathematics of pursuit and evasion /$cPaul J. Nahin.
260 $aPrinceton :$bPrinceton University Press,$c©2007.
300 $axiv, 253 pages :$billustrations ;$c25 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
504 $aIncludes bibliographical references (pages 245-248) and index.
520 $aIdeal 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.
505 0 $aWhat 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 Notes 235 Bibliography 245 Acknowledgments 249 Index 251.
650 0 $aDifferential games.
650 7 $aDifferential games.$2fast$0(OCoLC)fst00893492
650 7 $aJeux, Théorie des.$2ram
650 7 $aJeux différentiels.$2ram
650 07 $aDifferentialspiel.$2swd
650 07 $aSpieltheorie.$2swd
856 41 $3Table of contents$uhttp://catdir.loc.gov/catdir/enhancements/fy0731/2006051392-t.html
856 41 $3Table of contents$uhttp://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=017324057&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
856 42 $3Contributor biographical information$uhttp://catdir.loc.gov/catdir/enhancements/fy0734/2006051392-b.html
856 42 $3Publisher description$uhttp://catdir.loc.gov/catdir/enhancements/fy0704/2006051392-d.html
856 4 $uhttp://catdir.loc.gov/catdir/enhancements/fy0704/2006051392-d.html$zDescription de l'éditeur
856 4 $uhttp://catdir.loc.gov/catdir/enhancements/fy0731/2006051392-t.html$zTable des matières
852 00 $boff,mat$hQA272$i.N34 2007