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Chases and Escapes: The Mathematics of Pursuit and Evasion
Paul J. Nahin
€ 27.84
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Description for Chases and Escapes: The Mathematics of Pursuit and Evasion
Paperback. 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. This book gives us the complete history of this area of mathematics, from its classical analytical beginnings to the present day. Series: Princeton Puzzlers. Num Pages: 272 pages, 5 halftones. 67 line illus. BIC Classification: PBUD; PBX; PDZM. Category: (G) General (US: Trade); (U) Tertiary Education (US: College). Dimension: 208 x 136 x 19. Weight in Grams: 284.
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.
Product Details
Format
Paperback
Publication date
2012
Publisher
Princeton University Press
Number of pages
288
Condition
New
Series
Princeton Puzzlers
Number of Pages
272
Place of Publication
New Jersey, United States
ISBN
9780691155012
SKU
V9780691155012
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Paul J. Nahin
Paul J. Nahin is the best-selling author of many popular math books, including Mrs. Perkins's Electric Quilt, Digital Dice, Dr. Euler's Fabulous Formula, When Least Is Best, and An Imaginary Tale (all Princeton). He is professor emeritus of electrical engineering at the University of New Hampshire.
Reviews for Chases and Escapes: The Mathematics of Pursuit and Evasion
"In the 18th century, mathematicians began to tease apart how best to track down and intercept prey, inspired by pirate ships bearing down on merchant vessels. The mathematics is by no means trivial, and quickly becomes fiendish if the merchant ship takes evasive action. This is just one of the colorful problems in Paul Nahin's fascinating history of the mathematics of pursuit, in which he guides us masterfully through the maths itself
think lions and Christians, submarines and torpedoes, and the curvaceous flight of fighter aircraft."
New Scientist "This is a highly readable book that offers several colorful applications of differential equations and good examples of non-trivial integrals for calculus students. It would be a good source of examples for the classroom and or a starting point for an independent project."
Bill Satzer, MAA Review "This book contains a well-written, well-organized collection of solutions to twenty-one challenging calculus and differential equation problems that concern pursuit and evasion as well as the historical background of each problem type."
Mathematics Teacher "I am sure that this book will appeal to everyone who is interested in mathematics and game theory. Excellent work."
Prabhat Kumar Mahanti, Zentralblatt Math "Chases and Escapes is a wonderful collection of interesting and classic pursuit and evasion problems... If you are interested in in dogs chasing ducks, pirates chasing merchants, and submarines hiding, then this book is for you."
Mathematics Teacher
think lions and Christians, submarines and torpedoes, and the curvaceous flight of fighter aircraft."
New Scientist "This is a highly readable book that offers several colorful applications of differential equations and good examples of non-trivial integrals for calculus students. It would be a good source of examples for the classroom and or a starting point for an independent project."
Bill Satzer, MAA Review "This book contains a well-written, well-organized collection of solutions to twenty-one challenging calculus and differential equation problems that concern pursuit and evasion as well as the historical background of each problem type."
Mathematics Teacher "I am sure that this book will appeal to everyone who is interested in mathematics and game theory. Excellent work."
Prabhat Kumar Mahanti, Zentralblatt Math "Chases and Escapes is a wonderful collection of interesting and classic pursuit and evasion problems... If you are interested in in dogs chasing ducks, pirates chasing merchants, and submarines hiding, then this book is for you."
Mathematics Teacher