Skip to main content

Short Cut: Maths - Katie Steckles (Ed.) ****

As a reader, I'm generally something of a sceptic on the subject of highly illustrated books that cover a topic in a series of two page spreads, but I surprised myself by enjoying Short Cut: Maths. It's described online as a paperback, but it's actually a quite handsome hardback.

The book is divided into eight sections (numbers, structures, logic, geometry and shape, functions, probability and statistics, modelling and games) each of which contains six or seven spreads in the form of answers to questions. These range from the straightforward 'How high can you count on your fingers?' or 'Why can't you un-square a number?' to the intriguing 'Can a baby manage a crocodile?' and 'How many hairs are there on a bear?'

As is often the case with this style of book, there are several contributors whose names are quite hard to find - as well as consulting editor Katie Steckles, we have Sam Hartburn, Alison Kiddle, and Peter Rowlett (plus illustrator Robert Fiszer). The mini-articles are approachable and easy reading. They often take the starting point of a question and expand it to cover a wider issue. So, for example, the 'How many hairs' question is used to introduce the concept of Fermi problems - those where an exact solution is difficult, but it's relatively easy to take a short cut to an approximation. This is then used to illustrate the way that mathematical modelling works and how models are iteratively improved.

My main gripe with the book is the graphic style, which is a bit in-your-face. Each section has an introduction in which some key words are in CAPITALS for reasons that aren't entirely obvious, but totally break the flow. The introduction is then followed by a flowchart-like map of the section, which I didn't find particularly useful. And the page colours, primarily darkish blue and a vivid orange, had me reaching for the sunglasses. But I coped.

Overall, covers an interesting range of mathematical topics in an entertaining fashion. There just aren't enough popular maths titles out there, and this was a good addition to what's on offer.

Hardback:   
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 hereShort

Comments

Popular posts from this blog

Rakhat-Bi Abdyssagin Five Way Interview

Rakhat-Bi Abdyssagin (born in 1999) is a distinguished composer, concert pianist, music theorist and researcher. Three of his piano CDs have been released in Germany. He started his undergraduate degree at the age of 13 in Kazakhstan, and having completed three musical doctorates in prominent Italian music institutions at the age of 20, he has mastered advanced composition techniques. In 2024 he completed a PhD in music at the University of St Andrews / Royal Conservatoire of Scotland (researching timbre-texture co-ordinate in avant- garde music), and was awarded The Silver Medal of The Worshipful Company of Musicians, London. He has held visiting affiliations at the Universities of Oxford, Cambridge and UCL, and has been lecturing and giving talks internationally since the age of 13. His latest book is Quantum Mechanics and Avant Garde Music . What links quantum physics and avant-garde music? The entire book is devoted to this question. To put it briefly, there are many different link...

Should we question science?

I was surprised recently by something Simon Singh put on X about Sabine Hossenfelder. I have huge admiration for Simon, but I also have a lot of respect for Sabine. She has written two excellent books and has been helpful to me with a number of physics queries - she also had a really interesting blog, and has now become particularly successful with her science videos. This is where I'm afraid she lost me as audience, as I find video a very unsatisfactory medium to take in information - but I know it has mass appeal. This meant I was concerned by Simon's tweet (or whatever we are supposed to call posts on X) saying 'The Problem With Sabine Hossenfelder: if you are a fan of SH... then this is worth watching.' He was referencing a video from 'Professor Dave Explains' - I'm not familiar with Professor Dave (aka Dave Farina, who apparently isn't a professor, which is perhaps a bit unfortunate for someone calling out fakes), but his videos are popular and he...

Everything is Predictable - Tom Chivers *****

There's a stereotype of computer users: Mac users are creative and cool, while PC users are businesslike and unimaginative. Less well-known is that the world of statistics has an equivalent division. Bayesians are the Mac users of the stats world, where frequentists are the PC people. This book sets out to show why Bayesians are not just cool, but also mostly right. Tom Chivers does an excellent job of giving us some historical background, then dives into two key aspects of the use of statistics. These are in science, where the standard approach is frequentist and Bayes only creeps into a few specific applications, such as the accuracy of medical tests, and in decision theory where Bayes is dominant. If this all sounds very dry and unexciting, it's quite the reverse. I admit, I love probability and statistics, and I am something of a closet Bayesian*), but Chivers' light and entertaining style means that what could have been the mathematical equivalent of debating angels on...