Chases and escapes : the mathematics of pursuit and evasion

by Paul J. Nahin

Hardcover, 2007

Status

Available

Call number

519.32

Library's review

Indeholder "Introduction", "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", " 2.2 Computer Solution of Hathaway's Pursuit Problem", " 2.3 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 Isaac's Guarding-the-Target Problem", " 4.3 The Hidden Path Problem", " 4.4 The Hidden Object Problem: Pursuit and Evasion as a Simple Two-Person, Zero-Sum Game of Attack-and-Defend", " 4.5 The Discrete Search Game for a Stationary Evader - Hunting for Hiding Submarines", " 4.6 A Discrete Search Game with a Mobile Evader - Isaac'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. Solution to the Challenge Problems of Section 1.2", "Appendix C. Solution to the Challenge Problems of Section 1.5", "Appendix D. Solution to the Challenge Problems of Section 2.2", "Appendix E. Solution to the Challenge Problems of Section 2.3", "Appendix F. Solution to the Challenge Problems of Section 2.5", "Appendix G. Solution to the Challenge Problems of Section 3.2", "Appendix H. Solution to the Challenge Problems of Section 4.3", "Appendix I. Solution to the Challenge Problems of Section 4.4", "Appendix J. Solution to the Challenge Problems of Section 4.7", "Appendix K. Guelman's Proof", "Notes", "Bibliography", "Acknowledgments", "Index".

Historien om forfølgelseskurver starter med en opgave om at finde ud af hvordan et piratskib der sejler hurtigere end et handelsskib kan indhente det og hvor længe det tager. Det giver ophav til allehånde konstruerede opgaver, hvoraf nogle få faktisk optræder i virkelige problemer.

Jeg kan ikke helt finde ud af hvad jeg mener om Nahins bøger. Der er mange integraler i dem og der er jeg ikke så interesseret i. De her opgaver og forsøg på at analysere kurverne, ville jeg nok kaste en computersimulering efter i stedet for at prøve at finde formler og diverse integraler. Der er lidt om hvorfor tractrix kurven er interessant i en historisk sammenhæng.

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Genres

Science & Nature

General Nonfiction

Nonfiction

Publication

Princeton, N.J. ; Woodstock : Princeton University Press, 2007.

Description

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 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.… (more)

Subjects

Differential games

Language

English

Original language

English

Physical description

xiv, 253 p.; 24 cm

ISBN

9780691125145

Local notes

Omslag: Ikke angivet
Omslaget viser en kat og en mus, der kigger på hinanden
Indskannet omslag - N650U - 150 dpi

Pages

xiv; 253

Library's rating

Rating

(6 ratings; 3.1)

DDC/MDS

519.32