An engaging collection of intriguing problems that shows you how to think like a mathematical physicist

Paul Nahin is a master at explaining odd phenomena through straightforward mathematics. In this collection of twenty-six intriguing problems, he explores how mathematical physicists think. Always entertaining, the problems range from ancient catapult conundrums to the puzzling physics of a very peculiar material called NASTYGLASS—and from dodging trucks to why raindrops fall slower than the rate of gravity. The questions raised may seem impossible to answer at first and may require an unexpected twist in reasoning, but sometimes their solutions are surprisingly simple. Nahin’s goal, however, is always to guide readers—who will need only to have studied advanced high school math and physics—in expanding their mathematical thinking to make sense of the curiosities of the physical world.

The problems are in the first part of the book and the solutions are in the second, so that readers may challenge themselves to solve the questions on their own before looking at the explanations. The problems show how mathematics—including algebra, trigonometry, geometry, and calculus—can be united with physical laws to solve both real and theoretical problems. Historical anecdotes woven throughout the book bring alive the circumstances and people involved in some amazing discoveries and achievements.

More than a puzzle book, this work will immerse you in the delights of scientific history while honing your math skills.

"I certainly enjoyed [the book]!"---Alan Stevens, Mathematics Today

"This reviewer found himself being drawn to a variety of unfamiliar settings with much interest and even fascination."

"Engaging. . . . The book contains a wealth of original problems. . . . An enjoyable read."---Antonín Slavík, Zentralblatt MATH

"Reading Nahin is like reading through a select library of ancient Babylonian mathematical clay tablets. Surprises abound. . . . Nahin weaves much colorful history into his narrative."---Andrew Simoson, Mathematical Intelligencer

"This book is without a doubt the most enjoyable, stimulating book of mathematical physics (and occasionally more pure branches of maths) puzzles that I have ever read. It’s essentially a series of cleverly, and occasionally fiendishly put-together mathematics and physics challenge questions, each of which gets you thinking in a new and fascinating way."---Jonathan Shock, Mathemafrica

“A fascinating tour de force of a variety of problems covering pure and applied mathematics, physics, and engineering that will keep your mind busy for days. You'll encounter lots of surprises, a healthy dose of challenging math, and many historical episodes told here for the first time. Highly recommended!”—Eli Maor, author of To Infinity and Beyond

“In this thrilling book, Paul Nahin captures the soul of mathematical physics in tall tales and delightful stories that invite the reader to relive the calculations that guided great inventors and pioneers throughout history.”—Christopher G. Tully, author of Elementary Particle Physics in a Nutshell