Skip to main content

1089 and All That – David Acheson *****

I really don’t know what’s happened to OUP – there was a time when this academic publisher had great ideas for science books, but the books themselves were practically unreadable. Now they’ve had a string of top notch titles – to which this is both a recent and an early addition, as the first edition of this book slipped under the radar back in 2002, but now it’s out in paperback and ready to wow a wider audience.

For non-UK (and younger) readers, the title is a play on 1066 and All That, a humorous book on history that was very popular in the 1950s. Here, though, the topic is mathematics, and rather than mock the subject, as 1066 does, the approach here is to demonstrate the delight of maths done right. The author could just have easily gone for a 1970s appeal and called this The Joy of Maths – because a joy it truly is.

There is a slightly dated feel about the book, both in its presentation and style that, for me at least, is not a bad thing, but rather 100% nostalgia. It starts with a reference to the I-Spy books, a big part of my childhood. And then there are the illustrations. When I was young my father subscribed to a magazine called the Model Engineer. Usually full of serious articles about doing things with lathes to produce working scale models of steam engines, it was dull as ditchwater for me and I avoided it like the plague, except the Christmas edition. Here there was usually a story of the adventures of a lunatic model engineer, building the kind of contraptions that would later feature on Wallace and Grommit. The illustrations were surreal photographs that were somehow old fashioned and downright weird at the same time – and that’s exactly the same feel the illustrations here have. On one page we’ll have a cartoon, on another a photograph of a model railway, on one of the buildings of which is a poster announcing ‘Brighten your day the Geometry way!’

However, this period feel doesn’t extend to a dull approach to the topic – instead, David Acheson really does make maths – and it’s by no means all fun, recreational maths, but often the real thing – both approachable and entertaining. There are snippets of geometry and algebra, infinite series and chaos theory, trigonometry and the Indian rope trick (no, really, there is applied maths here, in a very strange way). There’s no attempt to cover any of these topics in depth – we just get a quick feel for them, plus one or two illustrations of particularly interesting, mindbending, useful, or just strange applications. I was least enthusiastic about the trigonometry, but most of it just shot past in an entertaining stream.
Popular maths is not easy to do, but David Acheson has really achieved it with this pocket-sized gem of a book. I read it in one sitting, and I think you will too.
Paperback:   
Kindle 
Using these links earns us commission at no cost to you
Review by Brian Clegg - See all Brian's online articles or subscribe to a weekly email free here

Comments

Popular posts from this blog

The Antigravity Enigma - Andrew May ****

Antigravity - the ability to overcome the pull of gravity - has been a fantasy for thousands of years and subject to more scientific (if impractical) fictional representation since H. G. Wells came up with cavorite in The First Men in the Moon . But is it plausible scientifically?  Andrew May does a good job of pulling together three ways of looking at our love affair with antigravity (and the related concept of cancelling inertia) - in science fiction, in physics and in pseudoscience and crankery. As May points out, science fiction is an important starting point as the concept was deployed there well before we had a good enough understanding of gravity to make any sensible scientific stabs at the idea (even though, for instance, Michael Faraday did unsuccessfully experiment with a possible interaction between gravity and electromagnetism). We then get onto the science itself, noting the potential impact on any ideas of antigravity that come from the move from a Newtonian view of a...

The World as We Know It - Peter Dear ***

History professor Peter Dear gives us a detailed and reasoned coverage of the development of science as a concept from its origins as natural philosophy, covering the years from the eighteenth to the twentieth century. inclusive If that sounds a little dry, frankly, it is. But if you don't mind a very academic approach, it is certainly interesting. Obviously a major theme running through is the move from largely gentleman natural philosophers (with both implications of that word 'gentleman') to professional academic scientists. What started with clubs for relatively well off men with an interest, when universities did not stray far beyond what was included in mathematics (astronomy, for instance), would become a very different beast. The main scientific subjects that Dear covers are physics and biology - we get, for instance, a lot on the gradual move away from a purely mechanical views of physics - the reason Newton's 'action at a distance' gravity caused such ...

It's On You - Nick Chater and George Loewenstein *****

Going on the cover you might think this was a political polemic - and admittedly there's an element of that - but the reason it's so good is quite different. It shows how behavioural economics and social psychology have led us astray by putting the focus way too much on individuals. A particular target is the concept of nudges which (as described in Brainjacking ) have been hugely over-rated. But overall the key problem ties to another psychological concept: framing. Huge kudos to both Nick Chater and George Loewenstein - a behavioural scientist and an economics and psychology professor - for having the guts to take on the flaws in their own earlier work and that of colleagues, because they make clear just how limited and potentially dangerous is the belief that individuals changing their behaviour can solve large-scale problems. The main thesis of the book is that there are two ways to approach the major problems we face - an 'i-frame' where we focus on the individual ...