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

Why Nobody Understands Quantum Physics - Frank Verstraete and Céline Broeckaert **

It's with a heavy heart that I have to say that I could not get on with this book. The structure is all over the place, while the content veers from childish remarks to unexplained jargon. Frank Versraete is a highly regarded physicist and knows what he’s talking about - but unfortunately, physics professors are not always the best people to explain physics to a general audience and, possibly contributed to by this being a translation, I thought this book simply doesn’t work. A small issue is that there are few historical inaccuracies, but that’s often the case when scientists write history of science, and that’s not the main part of the book so I would have overlooked it. As an example, we are told that Newton's apple story originated with Voltaire. Yet Newton himself mentioned the apple story to William Stukeley in 1726. He may have made it up - but he certainly originated it, not Voltaire. We are also told that ‘Galileo discovered the counterintuitive law behind a swinging o...

How to Keep a Plane in the Sky - Alex Davies ****

If there's one big gap in the science writing sphere, it's popular engineering (you can quibble over whether engineering is science, but where else would you put popular engineering?). Alex Davies does the field a real service with this insightful introduction to the world of test engineering. The concept is simple. If we build something and sell it, we need to test it to make sure that it won't fail in a way that's dangerous to the consumer. The most obvious example is airliners, which feature at some length, but this applies to everything from cuddly toys to hair straighteners: someone needs to predict what could go wrong and to put the product through its paces to see if it will survive under any reasonable circumstances. When Davies is telling a story of test engineering in action, the book is a delight. He opens with the way that real bears are used to test if bears can get into coolers and trash cans - and the impressive ways these animals can circumvent human in...

On the Equality of All Things - Carlo Rovelli ****

There is a wide gulf between the worldviews of physicists and philosophers. Many physicists present a rather sweetly naive, child-like view of the world, where philosophers bring a distinctly more adult, cynical tone. This being the case, it can be a little worrying when a physicist dips a toe into the philosophical mire. Infamously, in The Grand Design , Stephen Hawking and co-author Leonard Mlodinow told us that philosophy was now dead because science could deal with anything it had previously been needed for. Thankfully, Carlo Rovelli is not trying to do away with philosophy, though it has to be said that when he veers into the topic that physicist's naivety can make it feel like the philosophising of an earnest eighteen-year-old. Take the opening paragraph, which tells us 'electrons and minds, stones and laws, judgements and galaxies do not essentially differ in nature from one another. They are notions that illuminate each other'. I almost expected a Pink Floyd soundtr...

Search This Blog