Chases and escapes the mathematics of pursuit and evasion.

• Main Author: Nahin, Paul J
• Format: eBook Book
• Language: English
• Published: Princeton Princeton University Press 2007
• Edition: 1
• Series: Princeton Puzzlers
• Subjects: Acceleration; AIM-9 Sidewinder; Almost surely; Applied; Ball turret; Boat; Boeing B-17 Flying Fortress; Calculation; Call of Duty (video game); Cartesian coordinate system; Chain rule; Clockwise; Complex number; Complex plane; Computer simulation; Consolidated B-24 Liberator; Continuous function; Contradiction; Coordinate system; Detonation; Differential equation; Differential games; Dimensionless quantity; Dr. Strangelove; Enola Gay; Equation; Equilateral triangle; Euler method; Fay Wray; Formulation; Frank Morley; Geometry; Harmonic series (mathematics); Harvey Mudd College; Henri Brocard; Illustration; Initial condition; Instant; Machine gun; Mathematician; MATHEMATICS; MATHEMATICS / Applied; MATHEMATICS / Recreations & Games; MATLAB; Merchant vessel; Missile; Notation; Parameter; Paul J. Nahin; PDZ; Pirate ship (ride); Polar coordinate system; Probability; Probability distribution; Problem statement; Proportional navigation; Pure pursuit; Pursuit curve; Pythagorean theorem; Quantity; Recreations & Games; Result; Right triangle; Saddle point; Search game; Special case; Square root; Strategy (game theory); Tangent; The Most Dangerous Game; Tractrix; Treatise; Variable (mathematics); Velocity; World War II; Writing; Detonation; Illustration; Harmonic series (mathematics); Strategy (game theory); Search game; MATLAB; Treatise; Result; Ball turret; Formulation; Machine gun; Dr. Strangelove; Henri Brocard; Calculation; Dimensionless quantity; Contradiction; Consolidated B-24 Liberator; Complex plane; Call of Duty (video game); Computer simulation; Instant; Pythagorean theorem; Continuous function; Almost surely; Equilateral triangle; Euler method; Pirate ship (ride); Boeing B-17 Flying Fortress; Problem statement; Special case; World War II; Differential equation; Mathematics; Probability distribution; Coordinate system; Notation; Paul J. Nahin; The Most Dangerous Game; Merchant vessel; Pure pursuit; Clockwise; Proportional navigation; Frank Morley; Fay Wray; Harvey Mudd College; Enola Gay; Square root; Initial condition; Probability; Chain rule; Equation; Quantity; Right triangle; Tangent; Mathematician; Velocity; Saddle point; Complex number; AIM-9 Sidewinder; Geometry; Variable (mathematics); Missile; Tractrix; Writing; Parameter; Pursuit curve; Cartesian coordinate system; Polar coordinate system; Acceleration; Boat
• ISBN: 9780691155012; 0691125147; 9780691125145; 0691155011
• DOI: 10.1515/9781400842063

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. InChases 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 Escapesincludes 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.