Skip to main content

The Maths Handbook – Richard Elwes ***

I can’t score this book more than 3 stars because it’s not really popular maths, but it does what it sets out to do rather well, so it should be seen in this context. As Richard Elwes points out in his introduction ‘I was never any good at maths,’ is something you hear all the time. What he sets out to do – and succeeds in admirably – is taking the reader step by step through the basics of maths to be able to manage those slippery figures with ease.
The approach is not as heavy as a textbook, though occasionally I did get the feel of a slight older, fussy teacher at work. (It’s notable that the precise expression we’re told Elwes has heard from ‘a thousand different people’ is ‘I was never any good at mathematics.’ Hardly anyone would say ‘mathematics’ rather than ‘maths’. Now it’s possible he was trying to avoid the UK/US maths/math split – but it still fits that slightly fussy precision we meet on a regular basis through the text.)
I really can’t fault the step-by-step progress, starting with basic arithmetic, taking us on to fractions and powers, roots and logs, percentages, algebra, geometry and even a brief intro to probability and statistics. Each of the sections is quite short, easily digested, well laid out and illustrated and finished off with a little quiz that’s not too taxing but helps reinforce the message. I suppose the only question is whether it’s best to arrange such an introduction by the structure of maths itself (as this book is) or by application, taking the reader through typical mathematical chores from checking a shopping bill to calculating odds at a bookies. That way you could cover the same ground but perhaps make it seem more real world. However, Elwes doesn’t resort to an excess of mathematical jargon, keeping the focus simple – and at least by structuring the book on the maths itself it can have the most logical progression of experience.
As I mentioned at the start, this isn’t popular maths. A popular maths book is not a tutorial in how to use it, with tests, but an exploration of some aspect of maths, the people involved, the history and its significance. This is much more a practical book. I would it see it being particularly useful to an adult learner who had trouble with maths at school and now wants to come back to it and take it on. It is a lot less condescending than most modern maths textbooks and would appeal more to a mature reader. So for this particular audience it is definitely an option well worth considering – and it’s excellent value, priced like cheap paperback but actually a good size and well-made book. Just not really for someone wanting a voyage of discovery about the history or nature of mathematics.

Paperback 
Using these links earns us commission at no cost to you
Review by Brian Clegg

Comments

Popular posts from this blog

David Spiegelhalter Five Way interview

Professor Sir David Spiegelhalter FRS OBE is Emeritus Professor of Statistics in the Centre for Mathematical Sciences at the University of Cambridge. He was previously Chair of the Winton Centre for Risk and Evidence Communication and has presented the BBC4 documentaries Tails you Win: the Science of Chance, the award-winning Climate Change by Numbers. His bestselling book, The Art of Statistics , was published in March 2019. He was knighted in 2014 for services to medical statistics, was President of the Royal Statistical Society (2017-2018), and became a Non-Executive Director of the UK Statistics Authority in 2020. His latest book is The Art of Uncertainty . Why probability? because I have been fascinated by the idea of probability, and what it might be, for over 50 years. Why is the ‘P’ word missing from the title? That's a good question.  Partly so as not to make it sound like a technical book, but also because I did not want to give the impression that it was yet another book

Vector - Robyn Arianrhod ****

This is a remarkable book for the right audience (more on that in a moment), but one that's hard to classify. It's part history of science/maths, part popular maths and even has a smidgen of textbook about it, as it has more full-on mathematical content that a typical title for the general public usually has. What Robyn Arianrhod does in painstaking detail is to record the development of the concept of vectors, vector calculus and their big cousin tensors. These are mathematical tools that would become crucial for physics, not to mention more recently, for example, in the more exotic aspects of computing. Let's get the audience thing out of the way. Early on in the book we get a sentence beginning ‘You likely first learned integral calculus by…’ The assumption is very much that the reader already knows the basics of maths at least to A-level (level to start an undergraduate degree in a 'hard' science or maths) and has no problem with practical use of calculus. Altho

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