The Calculus Diaries – Jennifer Ouellette ***

Popular maths is a pig to write – much harder than the rest of popular science. Unless you are dealing with one of the glamorous aspects like infinity or Fermat’s last theorem, there are two big problems in grabbing a reader’s attention. One is that the maths itself can be more than a little impenetrable, and the other is that the applications (if there are any) can seem more like mental doodling than telling us something mind blowing about reality, as is the case with something like physics.

Jennifer Ouellette sets out to address both these problems in a very personal take on calculus and its importance to us. She is a self-admitted fearer of calculus, an English graduate for whom it was once all a mystery – but with help from her physicist husband, she sets out to tame this powerful mathematical tool.

It’s a recipe for a really enjoyable book, and it kind of works. Ouellette takes us on a very personal journey, so there’s a lot about her and her husband and their adventures that, if I’m honest I wasn’t really particularly interested in. This may be a personal failing – I’m interested in mathematicians and their lives, but I don’t really want to know about Ouellette and partner’s attempts in a casino or how they pass on little messages to each other at home on a whiteboard. Still, it’s certainly true that the approach takes away some of the impersonal scariness of mathematics.

When it comes down to the calculus itself, I was in a bit of a quandary. It is a hugely important tool that scientists and engineers resort to all the time – but the actual doing of it is, frankly, a bit tedious and I found the practical working of the maths side of the book both a little dull and also surprisingly opaque – I think I understand calculus, but some of the explanations of its use I found difficult to follow.

It’s interesting that the bit of the book I enjoyed most, dealing with the application of maths to gambling, really didn’t have much to do with calculus at all – it was more about probability. This was good fun and instructive for those who feel they might like a flutter in a casino. In fact there were several chapters where calculus really only got a passing mention, and some were among the better parts of the contents.

Overall there’s plenty going on here. You’ll visit a green gym, find out about calculating the stresses on arches in buildings, explore the maths of personal finance and of surfing. Oh yes, and you’ll find out about the way zombies (and other plagues) can spread. Altogether too much about zombies, in fact. Yet it just didn’t quite work for me. I wanted to love it, but failed in the attempt.

Hardback (US is paperback):

Using these links earns us commission at no cost to you

Review by Brian Clegg

Comments

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 ...

Introducing Artificial Intelligence – Henry Brighton & Howard Selina ****

It is almost impossible to rate these relentlessly hip books – they are pure marmite*. The huge Introducing … series (a vast range of books covering everything from Quantum Theory to Islam), previously known as … for Beginners , puts across the message in a style that owes as much to Terry Gilliam and pop art as it does to popular science. Pretty well every page features large graphics with speech bubbles that are supposed to emphasise the point. Funnily, Introducing Artificial Intelligence is both a good and bad example of the series. Let’s get the bad bits out of the way first. The illustrators of these books are very variable, and I didn’t particularly like the pictures here. They did add something – the illustrations in these books always have a lot of information content, rather than being window dressing – but they seemed more detached from the text and rather lacking in the oomph the best versions have. The other real problem is that...

The Laws of Thought - Tom Griffiths *****

In giving us a history of attempts to explain our thinking abilities, Tom Griffiths demonstrates an excellent ability to pitch information just right for the informed general reader. We begin with Aristotelian logic and the way Boole and others transformed it into a kind of arithmetic before a first introduction of computing and theories of language. Griffiths covers a surprising amount of ground - we don't just get, for instance, the obvious figures of Turing, von Neumann and Shannon, but the interaction between the computing pioneers and those concerned with trying to understand the way we think - for example in the work of Jerome Bruner, of whom I confess I'd never heard. This would prove to be the case with a whole host of people who have made interesting contributions to the understanding of human thought processes. Sometimes their theories were contradictory - this isn't an easy field to successfully observe - but always they were interesting. But for me, at least, ...

Search This Blog