For many people the study of math and math theory is akin to having your fingernails pulled out one by one with a pair of pliers, an excruciatelingy painful exercise that leads you nowhere, until you read this book with the playful title "Here's Looking at Euclid ..."
If you were to have known before you started this book, that it was written by a genius, who was also a top-flight writer and mathematical theoretician -- albeit with a playful bent -- you probably would have left it right where it was, but still you would have had a playful mathematical "theoretician" doing the research.
Bellos does go over the great Euclidian discoveries and the math theory behind them. It makes sense that if you are going to pun on the name of the master, that you look at his work. Yes, this homage to the Greek mathematician makes it seem as if this will be one of those books you skim and leave on the coffee table to show that you are an intellectual. If that is as far as you get, then you are doing yourself and mathematics a great injustice.
There's far more to Bellos' mathematical journey, not only across mathematical space, than the title would indicate. It is a journey around the globe, following Bellos' journey, that takes you to some surprising places. Bellos can pull this off because he is a snappy writer with a surprising command of the language. Because of these abilities, he pulls you into math, using some real gems that include:
His theory that ants actually count the number of steps in trips to and from their colonies, an interesting construct that anthropromorphizes insects, giving them human-like qualities to them. How else can you explain ant behavior?
His side trip to the Amazon where he meets the only native tribe that uses a base-5 number and counting system because they can only understand numbers up to 5, yet their numbering system works at a highly sophisticated level. They use it to get as any being done anywhere else, which is quite a start to a person schooled in two theories (rote learning with the table cards and "the new math" and "set theory.")
His jump to the zen master of the theoretical math involved in oregami is priceless, as is his proof -- in a way -- that chaos theory is just about chaos and nothing more as he shows that in a chaotic system it is nearly impossible to introduce true randomness into iPod music list building. He theorizes, one cannot get to the absolute randomness as there are too many other distractions in the search for randomness, including the fact that many people like the same musical groups and will inevitably include their music on other music lists.
Bellos' book is so surprising that is also based on our prejudices about math. Just one example reinforces our prejudices. Of course, the teachings of the Buddha are surprising, quickly turning around our prejudices. This lasts until we meet the two New York "mathheads," who would rather build a supercomputer to use to write and argue about their "pi" mania, at a huge number of teraflops per second, rather than put their considerable talents to work on other, more important work.
Yes, Bellos' work is truly dense and takes an understanding -- and rereading of parts -- to make it all understandable, but Bellos, if you stick with him, is a witty, accurate writer who gets his educational point across. That, in itself, makes this a master work.
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