LEADER 04219nam 2200637 a 450 001 9910789934603321 005 20200520144314.0 010 $a1-4008-4206-9 024 7 $a10.1515/9781400842063 035 $a(CKB)2670000000174005 035 $a(EBL)893065 035 $a(OCoLC)794491909 035 $a(SSID)ssj0000870167 035 $a(PQKBManifestationID)11461721 035 $a(PQKBTitleCode)TC0000870167 035 $a(PQKBWorkID)10818214 035 $a(PQKB)11033051 035 $a(OCoLC)899265879 035 $a(MdBmJHUP)muse37066 035 $a(DE-B1597)447353 035 $a(OCoLC)1054880563 035 $a(OCoLC)979968573 035 $a(DE-B1597)9781400842063 035 $a(Au-PeEL)EBL893065 035 $a(CaPaEBR)ebr10555040 035 $a(MiAaPQ)EBC893065 035 $a(EXLCZ)992670000000174005 100 $a20060824h20122007 uy 0 101 0 $aeng 135 $aur|||||||nn|n 181 $ctxt 182 $cc 183 $acr 200 10$aChases and escapes$b[electronic resource] $ethe mathematics of pursuit and evasion /$fPaul J. Nahin, with a new preface by the author 205 $aWith a New preface by the author 210 $aPrinceton $cPrinceton University Press$d2012, c2007 215 $a1 online resource (285 p.) 225 1 $aPrinceton puzzlers 300 $a"Third printing, and first paperback printing, with a new preface, for the Princeton Puzzlers series, 2012." 311 $a0-691-12514-7 311 $a0-691-15501-1 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tContents -- $tPreface to the Paperback Edition -- $tWhat You Need to Know to Read This Book (and How I Learned What I Needed to Know to Write It) -- $tIntroduction -- $tChapter 1. The Classic Pursuit Problem -- $tChapter 2. Pursuit of (Mostly) Maneuvering Targets -- $tChapter 3. Cyclic Pursuit -- $tChapter 4. Seven Classic Evasion Problems -- $tAppendix A. Solution to the Challenge Problems of Section 1.1 -- $tAppendix B. Solutions to the Challenge Problems of Section 1.2 -- $tAppendix C. Solution to the Challenge Problem of Section 1.5 -- $tAppendix D. Solution to the Challenge Problem of Section 2.2 -- $tAppendix E. Solution to the Challenge Problem of Section 2.3 -- $tAppendix F. Solution to the Challenge Problem of Section 2.5 -- $tAppendix G. Solution to the Challenge Problem of Section 3.2 -- $tAppendix H. Solution to the Challenge Problem of Section 4.3 -- $tAppendix I. Solution to the Challenge Problem of Section 4.4 -- $tAppendix J. Solution to the Challenge Problem of Section 4.7 -- $tAppendix K. Guelman's Proof -- $tNotes -- $tBibliography -- $tAcknowledgments -- $tIndex -- $t Backmatter 330 $aWe all played tag when we were kids. What most of us don't realize is that this simple chase game is in fact an application of pursuit theory, and that the same principles of games like tag, dodgeball, and hide-and-seek are also at play in military strategy, high-seas chases by the Coast Guard, and even romantic pursuits. In Chases and Escapes, Paul Nahin gives us the first complete history of this fascinating area of mathematics, from its classical analytical beginnings to the present day. Drawing on game theory, geometry, linear algebra, target-tracking algorithms, and much more, Nahin also offers an array of challenging puzzles with their historical background and broader applications. Chases and Escapes includes solutions to all problems and provides computer programs that readers can use for their own cutting-edge analysis. Now with a gripping new preface on how the Enola Gay escaped the shock wave from the atomic bomb dropped on Hiroshima, this book will appeal to anyone interested in the mathematics that underlie pursuit and evasion.Some images inside the book are unavailable due to digital copyright restrictions. 410 0$aPrinceton puzzlers. 606 $aDifferential games 615 0$aDifferential games. 676 $a519.3/2 700 $aNahin$b Paul J$048655 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910789934603321 996 $aChases and escapes$93860063 997 $aUNINA