Skip to main content

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

Popular posts from this blog

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, ...

The AI Paradox - Virginia Dignum ****

This is a really important book in the way that Virginia Dignum highlights various ways we can misunderstand AI and its abilities using a series of paradoxes. However, I need to say up front that I'm giving it four stars for the ideas: unfortunately the writing is not great. It reads more like a government report than anything vaguely readable - it really should have co-authored with a professional writer to make it accessible. Even so, I'm recommending it: like some government reports it's significant enough to make it necessary to wade through the bureaucrat speak. Why paradoxes? Dignum identifies two ways we can think about paradoxes (oddly I wrote about paradoxes recently , but with three definitions): a logical paradox such as 'this statement is false', or a paradoxical truth such as 'less is more' - the second of which seems a better to fit to the use here.  We are then presented with eight paradoxes, each of which gives some insights into aspects of t...

Einstein's Fridge - Paul Sen ****

In Einstein's Fridge (interesting factoid: this is at least the third popular science book to be named after Einstein's not particularly exciting refrigerator), Paul Sen has taken on a scary challenge. As Jim Al-Khalili made clear in his excellent The World According to Physics , our physical understanding of reality rests on three pillars: relativity, quantum theory and thermodynamics. But there is no doubt that the third of these, the topic of Sen's book, is a hard sell. While it's true that these are the three pillars of physics, from the point of view of making interesting popular science, the first two might be considered pillars of gold and platinum, while the third is a pillar of salt. Relativity and quantum theory are very much of the twentieth century. They are exciting and sometimes downright weird and wonderful. Thermodynamics, by contrast, has a very Victorian feel and, well, is uninspiring. Luckily, though, thermodynamics is important enough, lying behind ...