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 Infinity Machine - Sebastian Mallaby ****

It's very quickly clear that Sebastian Mallaby is a huge Demis Hassabis fan - writing about the only child prodigy and teen genius ever who was also a nice, rounded personality. After a few chapters, though, things settle down (I'm reminded of Douglas Adams' description of the Hitchhiker's Guide to the Galaxy ) and we get a good, solid trip through the journey that gave us DeepMind, their AlphaGo and AlphaFold programs, the sudden explosion of competition on the AI front and thoughts on artificial general intelligence. Although Mallaby does occasionally still go into fan mode - reading this you would think that AlphaFold had successfully perfectly predicted the structure of every protein, where it is usually not sufficiently accurate for its results to have direct practical application - we get a real feel for the way this relatively unusual company was swiftly and successfully developed away from Silicon Valley. It's readable and gives an important understanding of...

Nanotechnology - Rahul Rao ****

There was a time when nanotechnology was both going to transform the world and wipe us out - a similar position to our view of AI today. On the positive transformation side there was K. Eric Drexler's visions in the 1986 Engines of Creation. Arguably as much science fiction as engineering possibilities, it predicted the ability to use vast armies of assemblers to put objects together from individual atoms.  On the negative side was the vision of grey goo, out of control nanotechnology consuming all in its path as it made more and more copies of itself. In 2003, for instance, the then Prince Charles made the headlines  when newspapers reported ‘The prince has raised the spectre of the “grey goo” catastrophe in which sub-microscopic machines designed to share intelligence and replicate themselves take over and devour the planet.’ These days the expectations have been eased down a notch or two. Where nanotechnology has succeeded, it has been with the likes of atom-thick mat...