Skip to main content

Cracking Mathematics - Colin Beveridge ****

This kind of book is puzzling, though as we shall discover, Cracking Mathematics is a particularly effective example of the genre. Generally, it's difficult to be sure what a book like this is for, a bafflement not helped in this case by the Zen subtitle 'you, this book and 4,000 years of theories'.

The kind of book I'm talking about is a heavily illustrated summary of a big scientific subject - in this case the whole of mathematics - often covering each topic in as little as a pair of pages with sufficient pictures that the text can only ever be very summary. I can see this format would appeal as a gift book, something to give someone who is difficult to buy for, but I struggle to get a feel for why you would want to sit down and read a book like this from cover to cover - yet it's not a reference book either.

Such books are often big coffee table numbers, but the books in this particular series come in a virtually pocket-sized format - smart hardbacks just 17.5x15 centimetres, so they are far more manageable as, say, a loo book, or something to keep in your bag for boring journeys to keep yourself entertained. And perhaps that format is part of the reason why this particular example works so well - that and some genuinely interesting text from Colin Beveridge.

Along the way, Beveridge takes us on a journey through the origins of mathematics, the renaissance, with the introduction of negative and imaginary numbers, calculus and the infinitesimal, powers and logs, the infinite, codes and some of the more exotic modern ideas. Unlike some of the summary maths texts I've read, it isn't a collection of dull facts, but provides plenty of little gems along the way, from the 20,000 year old Ishango bone to the mysteries of elliptic curves and John Conway's Game of Life. Sometimes the format is a little forced - there's a section labelled 'The Curious Maths of Alice in Wonderland' which certainly does contain some Dodgson maths, but equally includes things like quaternions and non-Euclidian geometry, where the connection to Lewis Carroll, let alone Alice, is rather weak.

In other places, the attempt to make the discussion populist overstretches a little. There is some great material on games and probability, with, for instance, an really good description of the famous Monty Hall problem and the controversy it caused in Parade magazine - but quite why there is a double page spread on poker player Chris 'Jesus' Ferguson, even if he did apply game theory to poker, is a little baffling. My general feeling about this was 'So what?'

Maths is often portrayed as a very dry subject - a necessary evil, rather than something to enjoy - and when maths enthusiasts such as Ian Stewart try to make it seem that mathematics is pure fun they can often misunderstand what the general reader actually finds entertaining, or even faintly interesting. Beveridge does not fall into this trap, and consistently gives us interesting material - in part because the book focusses on the people involved and the history of maths as much as it does on the actual mathematics. Because of this, this title lifts itself above the other books of this type that I've read to make it feel that it really is worth popping into your bag to lighten your next wait at the station.


Review by Brian Clegg


  1. Just browsed a few pages and was appalled to read Pythagoras "threw Hippasus into the Mediterranean". That is rubbish! I hope the rest is better researched.

  2. To be fair it says 'The story goes...' 'it is said...' and 'myths abound' - the idea of Hippasus being drowned is a well-known story that will inevitably be included (admittedly I've never seen it attributed to Pythagoras before). Beveridge takes a light approach throughout and this can sometimes bring a slight looseness of language.


Post a Comment

Popular posts from this blog

Beyond Weird - Philip Ball *****

It would be easy to think 'Surely we don't need another book on quantum physics.' There are loads of them. Anyone should be happy with The Quantum Age on applications and the basics, Cracking Quantum Physics for an illustrated introduction or In Search of Schrödinger's Cat for classic history of science coverage. Don't be fooled, though - because in Beyond Weird, Philip Ball has done something rare in my experience until Quantum Sense and Nonsense came along. It makes an attempt not to describe quantum physics, but to explain why it is the way it is.

Historically this has rarely happened. It's true that physicists have come up with various interpretations of quantum physics, but these are designed as technical mechanisms to bridge the gap between theory and the world as we see it, rather than explanations that would make sense to the ordinary reader.

Ball does not ignore the interpretations, though he clearly isn't happy with any of them. He seems to come clo…

Conjuring the Universe - Peter Atkins *****

It's rare that I'd use the term 'tour de force' when describing a popular science book, but it sprang to mind when I read Conjuring the Universe. It's not that the book's without flaws, but it does something truly original in a delightful way. What's more, the very British Peter Atkins hasn't fallen into the trap that particularly seems to influence US scientists when writing science books for the public of assuming that more is better. Instead of being an unwieldy brick of a book, this is a compact 168 pages that delivers splendidly on the question of where the natural laws came from.

The most obvious comparison is Richard Feynman's (equally compact) The Character of Physical Law - but despite being a great fan of Feynman's, this is the better book. Atkins begins by envisaging a universe emerging from absolutely nothing. While admitting he can't explain how that happened, his newly created universe still bears many resemblances to  nothing a…

Big Bang (Ladybird Expert) - Marcus Chown ****

As a starting point in assessing this book it's essential to know the cultural background of Ladybird books in the UK. These were a series of cheap, highly illustrated, very thin hardbacks for children, ranging from storybooks to educational non-fiction. They had become very old-fashioned, until new owners Penguin brought back the format with a series of ironic humorous books for adults, inspired by the idea created by the artist Miriam Elia. Now, the 'Ladybird Expert' series are taking on serious non-fiction topics for an adult audience.

Marcus Chown does a remarkable job at packing in information on the big bang, given only around 25 sides of small format paper to work with. He gives us the concepts, plenty about the cosmic microwave background, plus the likes of dark energy, dark matter, inflation and the multiverse. To be honest, the illustrations were largely pointless, apart from maintaining the format, and it might have been better to have had more text - but I felt …