37 of 38 people found the following review helpful
5.0 out of 5 stars
Extremely Interesting Even for Math-a-phobics, April 30 2008
By William Gronos "Bill Gronos" - Published on Amazon.com
This review is from: Group Theory In The Bedroom And (Hardcover)
If you liked the book "Freakonomics: a rogue economist explores the hidden side of everything" (which I loved), there is a good chance you will like this one too. The author may have screwed-up giving it the title he did and by adding "and Other Mathematical Diversions", as it may put off or scare off a lot of people who would find it enjoyable. One would be hard pressed to find a mathematical equation anywhere in the book.
Take for instance the first chapter, "Clock of Ages", on the astronomical clock located in the Strasbourg Cathedral, in the city of Strasbourg, Alsace. Though the current version of the clock dates from 1843, not only was it designed to be Y2K compliant, it is also Y10K functional, designed to directly display the current year up to 9999 and the only revision needed to make it correct for subsequent years would be to paint the number "1" to the left of the display. It will continue to display such events as the correct date for Easter even in the year 19999 (Easter falls on April 3rd in 11842). Though solely a mechanical device, the gears of the clock were designed to be accurate to an error of less than one second per century. There is a gear in the clock that turns only once every 2,500 years and the celestial sphere out in front of the clock will complete one full precessional cycle after the passage of 25,806 years.
After his discussion of the beauty of the design of this clock, the author then takes up a philosophical discussion of time, asking if anyone will still care what date Easter will be in 11842, or even if we will still be counting in years of the Common Era.
The second chapter, "Follow the Money", demonstrates how through even an entirely random process, wealth tends to become concentrated in the hands of a few people, even in a fair system.
The remaining chapters are similarly varied and all are interesting.
A great book with a wide variety of interesting subjects and an engaging, erudite writing style.
17 of 18 people found the following review helpful
2.0 out of 5 stars
Little about group theory; lots about mattresses, Oct 22 2009
By Peter Webb - Published on Amazon.com
This review is from: Group Theory in the Bedroom and Other Mathematical Diversions (Paperback)
I was disappointed in this book. Its title suggests that it will contain recreational mathematics, but it contains almost no mathematics at all - not a single equation. Group theory is a subject that has been covered extensively in recreational mathematics, and the author chooses to illustrate it using the symmetries of rotating a mattress. On the way, he ruminates extensively on the subject of mattresses. If you don't know what a "group" is now, after reading this book you will be none the wiser, if you do know, you will wonder why he says so little about the subject. You will learn a lot about how different manufacturers recommend you turn their matresses, but I didn't care before and still don't.
I have similar problems with the other chapters; he interweaves the theory of gear ratios in clocks with that of rational approximations (a natutal fit) but never really explains the mathematics, and instead its more of a story about how he tracked down the original historical sources of where gear ratios were first calculated ...
The chatty and informal style would have worked better in a magazine column, which is where these came from.
If you want a book about mathematics which itself contains virtually no mathematics, and you want something light and easily read, which covers a wide range of topics, sure.
If you know what a "group" is (or a continued fraction) and want to see if he brings a new twist to these old subjects, I think you will be diappointed.
17 of 18 people found the following review helpful
5.0 out of 5 stars
Excellent Book on Perspective and Framing Problems, Aug 15 2008
By K. Scott Proctor - Published on Amazon.com
This review is from: Group Theory In The Bedroom And (Hardcover)
This is an excellent collection of thought-provoking essays related to mathematics. Brian Hayes covers a wide array of topics through the lens of mathematics in an engaging, thought-provoking and entertaining manner.
The essays contained in this book, addressing topics such as the genetic code, the Continental Divide and randomness, among other topics, vary widely in subject matter, but share a common underlying theme. Specifically, each of these essays asks the reader to examine "things," such as the genetic code, from a unique perspective. Moreover, Hayes pulls the reader through a thoughtful and insightful problem framing approach that has broad applications across many disciplines.
I found the content and style across each essay to be first-rate. This book teaches the reader many things...most importantly, I feel it offers rare insight into the power of shifting perspective and framing problems.