100 books like Chases and Escapes

Peter Winkler is famous for his collections of counterintuitive puzzles. Thousands of people, including me, have spent many sleepless nights trying to understand the mysteries in these puzzles, for which, I am forever grateful.

Haunting puzzles in the book include hats and infinity, all right or all wrong, comparing numbers version 1/2, wild guess, laser gun, precarious picture, names in boxes, sleeping beauty, and dot-town exodus.

Most puzzle books exclude counterintuitive puzzles for unknown reasons. So, many people incorrectly assume that counterintuitive puzzles are majorly found in paradoxes. Peter Winkler in this book shows that counterintuition can come from either puzzles or solutions or both, and they need not come from paradoxes alone.

Finally, reading Winkler's statements is an absolute delight due to its enjoyable and entertaining nature.

This is one of the first books in the entire puzzles literature that gave multiple detailed solutions to several beautiful mathematical puzzles.

Some of today's most famous puzzles were either popularized or introduced in this book. For example, truck in the desert, start of the snow, the rookie electrician, hole in a sphere, captivating problem in navigation, the hunter and his dog, the counterfeit coin, and common birthdays.

This book with its multiple-solutions feature taught me that we should never stop searching for more solutions as there can always be a better solution. Furthermore, when 1- or 2-paragraph solutions were the norm, this book illustrated the beauty of having multi-page detailed solutions.

Interestingly, this book is a crowd-written book as most of the puzzles and solutions presented in this book are contributed by readers of a magazine. This implies that it is possible to write great crowd-written books.

Anany Levitin introduced me to algorithmics – my second love (my first love is mathematics), through his legendary algorithmics textbook. He was one of my superheroes in my young adult life and he got me addicted to algorithms. His book is my favorite because it is beautifully organized based on design techniques, well-written, and uses nice puzzles to teach algorithms.

Levitin went much deeper and wrote this book on algorithmic puzzles. This book is the first mainstream book in the puzzle literature that taught beautiful algorithmic puzzles via various algorithm technique techniques. Levitin claimed several mathematical puzzles as algorithmic focusing on aspects of the solutions that are automatable.

Elegant puzzles (with extensive references) in this book that I have enjoyed include missionaries and cannibals, bridge crossing, circle of lights, MU puzzle, turning on a light bulb, chameleons, poisoned wine, game of life, twelve coins, fifteen puzzle, hats with numbers, and… show more.

If you want a mathematical high, then the special theory of relativity is your cannabis. This out-of-the-world book by Tatsu Takeuchi gives us the key to the gateway to the heavens. This book beautifully teaches the special theory of relativity using hundreds of pleasing diagrams.

The special theory of relativity leads to the most counterintuitive concept that there is no "now". A's now can be the past of B's now and the future of C's now. This and several other counterintuitive ideas arise out of the fact that light travels at a finite speed. This book does an amazing job of teaching the mathematical theory that deals with time, space, and motion.

In many world religions there is a concept of heaven that is reachable after death. For puzzle addicts like me, the puzzle world itself is heaven, and I have been there an unlimited number of times when I… show more.

This is a sequel to Alex Bellos's bestseller Alex's Adventures in Numberland, but more focused on applications of mathematics to the real world, especially through physics. Many of these were known to me, particularly when they involved calculus, but I greatly enjoyed Alex's distinctive and novel way of putting across sophisticated ideas, in part by interspersing them with personal interviews with mathematicians of all kinds.  

This book is one of the best-selling poker books of the modern era despite the author not being a household name. It is a brilliant and dense primer on poker math with the amateur in mind. Other poker math books have arguably been written with a more expert tone, but this one is ideal for a beginner.

They say that Plato was not a mathematician but was a maker of mathematicians. The same could be said of Martin Gardner, a prolific author who wrote, among many other things, the “Mathematical Games” column for Scientific American for a quarter of a century. Although all his books are excellent, The Colossal Book of Mathematics is a great entry point to Gardner’s oeuvre. It consists of what Gardner viewed as his 50 best Scientific American columns along with addenda containing updated material on each topic. With topics like topology, geometry, recreational mathematics, the infinite, and probability, each article is an informative, playful, well-written gem. 

This is an excellent, non-technical introduction to game theory, covering most topics, including incomplete information games and evolutionary game theory.

Packed with real-life examples, along with humorous and historical notes, the book is appropriate for undergraduate students from different majors, including political science, history, psychology, and biology.

The book focuses on presenting topics at the undergraduate level, avoiding difficult notation and jargon, and minimizing the math, thus not being a good fit for technical courses in game theory at the Master's and Ph.D. levels, but again, it’s one of the best introductions to game theory for non-technical readers currently available.

An excellent textbook on game theory which is unashamedly advanced: no shortcut is taken, no distractions, no simplifications, rather it goes straight to the point and all the details are there.

It is a great book for researchers to learn the important topics in game theory and its fine details. 

Readers of this list may be surprised that there are no books by Benoit Mandelbrot, the father of fractals. I found his books fascinating but frustrating. Feder’s book, by contrast, was readable and usable.

This book taught me how to do fractal analysis. While Feder’s book has nothing to do with markets, it has everything to do with applications. While I reuse much of Feder’s methodology in my books, readers will find it useful to see other practical applications of fractal analysis.