Professor Stewart's Cabinet of Mathematical Curiosities

Professor Stewart's Cabinet of Mathematical Curiosities - Ian Stewart ****

This is the second review of a trilogy, read in entirely the wrong order (book 3, then 1 here, and 2 to follow), so should you be feeling confused, this book is a predecessor to Professor Stewart's Casebook of Mathematical Mysteries. The format is very similar - a collection of factoids, logical puzzles, mathematical expositions and more to entertain any recreational maths enthusiast. I think it works significantly better in this first book of the series because, to be honest, by volume 3 there is probably a bit of barrel scraping going on. Here the topics are fresh and fun.

There is arguably something for everyone here, which inversely means that there are probably some bits, depending on your mathematical knowledge and interests, that you will either find too trivial or too heavy going. But the format makes it easy to skip through to the next. I personally most enjoy the logic problems (though a small black mark for featuring a near-identical "moving the cups" problem to one in the third book) and, much to my surprise, the geometry, which I suppose took me back to a more innocent time. There were inevitably some entries where there was a strong feeling of 'so what?', leaving the reader suspecting that mathematicians need to get a life. And at least one where I think the answer is wrong, if you apply the same logic as applied in an earlier tricksy question. (It's the one about pigs and umbrellas, if you must know.)

Funnily, what works least well are the bits that are most like a conventional popular maths book, that describe famous mathematical problems and their context, such as the four colour problem and Fermat's last theorem. The entries for these are rather longer than the rest, but obviously much shorter than, say, Simon Singh's brilliant book on Fermat. That means that you get concentrated fact, but none of the interesting detail that makes a popular science or maths book appealing. For me these sections just don't work and I largely skipped them.

But - and that's the joy of the format - it really doesn't matter. Because in a few pages there will be something else, and something else, and something else again to entertain and tickle the brain cells. It's notable that I got not just one (about a strange set of dice) but two blog posts (the other being about an oddity in my review copy) out of this book - because it made me think, reminded me of some old favourite problems and puzzles, introduced plenty of new ones and entertained. What more can you ask from maths.

Paperback:

Kindle:

Using these links earns us commission at no cost to you

Review by Brian Clegg

Comments

David Spiegelhalter Five Way interview

Professor Sir David Spiegelhalter FRS OBE is Emeritus Professor of Statistics in the Centre for Mathematical Sciences at the University of Cambridge. He was previously Chair of the Winton Centre for Risk and Evidence Communication and has presented the BBC4 documentaries Tails you Win: the Science of Chance, the award-winning Climate Change by Numbers. His bestselling book, The Art of Statistics , was published in March 2019. He was knighted in 2014 for services to medical statistics, was President of the Royal Statistical Society (2017-2018), and became a Non-Executive Director of the UK Statistics Authority in 2020. His latest book is The Art of Uncertainty . Why probability? because I have been fascinated by the idea of probability, and what it might be, for over 50 years. Why is the ‘P’ word missing from the title? That's a good question. Partly so as not to make it sound like a technical book, but also because I did not want to give the impression that it was yet another book

The Genetic Book of the Dead: Richard Dawkins ****

When someone came up with the title for this book they were probably thinking deep cultural echoes - I suspect I'm not the only Robert Rankin fan in whom it raised a smile instead, thinking of The Suburban Book of the Dead . That aside, this is a glossy and engaging book showing how physical makeup (phenotype), behaviour and more tell us about the past, with the messenger being (inevitably, this being Richard Dawkins) the genes. Worthy of comment straight away are the illustrations - this is one of the best illustrated science books I've ever come across. Generally illustrations are either an afterthought, or the book is heavily illustrated and the text is really just an accompaniment to the pictures. Here the full colour images tie in directly to the text. They are not asides, but are 'read' with the text by placing them strategically so the picture is directly with the text that refers to it. Many are photographs, though some are effective paintings by Jana Lenzová. T

Everything is Predictable - Tom Chivers *****

There's a stereotype of computer users: Mac users are creative and cool, while PC users are businesslike and unimaginative. Less well-known is that the world of statistics has an equivalent division. Bayesians are the Mac users of the stats world, where frequentists are the PC people. This book sets out to show why Bayesians are not just cool, but also mostly right. Tom Chivers does an excellent job of giving us some historical background, then dives into two key aspects of the use of statistics. These are in science, where the standard approach is frequentist and Bayes only creeps into a few specific applications, such as the accuracy of medical tests, and in decision theory where Bayes is dominant. If this all sounds very dry and unexciting, it's quite the reverse. I admit, I love probability and statistics, and I am something of a closet Bayesian*), but Chivers' light and entertaining style means that what could have been the mathematical equivalent of debating angels on

Search This Blog