Chases and Escapes

Chases and Escapes: The Mathematics of Pursuit and Evasion presents mathematical solutions to pursuit-evasion scenarios through a series of 21 problems. The book includes additional challenge problems with solutions in the appendix, making it suitable for both study and practice. The text explores mathematical concepts through real-world scenarios and historical examples, from pirate ships to military aircraft. Each chapter builds on fundamental principles of pursuit-evasion mathematics, incorporating differential equations and numerical solutions that demonstrate practical applications. The content combines historic pursuit-evasion problems with modern computational methods and mathematical theory. The Mathematical Association of America considers this work essential for undergraduate mathematics libraries. This book bridges pure mathematics and practical application, revealing how abstract concepts govern real-world pursuit and escape strategies. The mathematical treatment of chase scenarios offers insights into both historical problem-solving approaches and contemporary applications.

Readers describe this mathematics book as engaging but challenging, with most noting it requires calculus knowledge to follow. Multiple reviewers appreciated the historical anecdotes and real-world pursuit problems mixed with the mathematical content. Likes: - Clear explanations of pursuit curves and differential equations - Interesting mix of military, sports, and animal pursuit examples - Detailed solutions to problems - Historical context for mathematical concepts Dislikes: - Math prerequisites not clearly stated upfront - Some sections become overly technical - A few readers found the writing style dry - Problems lack intermediate steps Ratings: Goodreads: 3.8/5 (26 ratings) Amazon: 4.2/5 (12 ratings) Notable review from Amazon: "The author presents fascinating real-world applications but jumps into advanced math too quickly. Would benefit from more scaffolding for readers without strong calculus backgrounds." Several readers noted this works better as a supplemental text than a standalone introduction to pursuit-evasion problems.

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🔍 The mathematical concept of pursuit curves was first studied by Pierre Bouguer in 1732 while analyzing how pirates intercepted merchant ships 🚢 Naval warfare in the Age of Sail heavily influenced the development of pursuit-evasion theory, as captains needed to calculate optimal paths to catch or escape enemy vessels 🎓 Author Paul J. Nahin is a Professor Emeritus at the University of New Hampshire and has written numerous books combining mathematics with historical storytelling 🖥️ The book shows how modern computer technology has revolutionized pursuit-evasion calculations, solving problems that stumped mathematicians for centuries 🎮 The mathematics of pursuit-evasion is crucial in modern applications like missile guidance systems, video game AI, and robotics navigation