Skip to main content

Fibonacci's Rabbits - Adam Hart-Davis ****

I'm not a great fan of '50 things' type books, though they seem eternally popular, but as was the case with Adam Hart-Davis's psychology title in the same series (Pavlov's Dog), I was pleasantly surprised, in part because the topic was well-suited to the format, and in part because the Hart-Davis has three pages of text to play with rather than just an illustrated spread.

After giving us some foundational and historical aspects of mathematics, from the origins of base 10 and base 60 to pi and zero, Hart Davis gets onto more meaty material, ranging through everything from chaos theory to game theory, plus some lighter weight but enjoyable mathematical deviations such as the Fibonacci sequence rabbits in the book's title, or the strange 3D shapes known as scutoids. It's all easy reading - no mathematical experience required - and a good way to get a feel for the way that maths is so much more than arithmetic, geometry and algebra.

One minor irritation is the way that every item is titled as a question, some of which aren't actually answered in the text. So, for example, we get 'How big is infinity?', which gives us a quick tour of ancient Greeks, Galileo and Cantor, but (perhaps thankfully) doesn't actually attempt to address the question. This entry also demonstrated why this format has its limits on a big topic (no pun intended) like infinity. Hart-Davis mentions, for example, Hilbert's Hotel - but doesn't take the reader through what's involved, so we just get a vague statement that Hilbert used a series of ingenious proofs to show that despite the infinite set of rooms being full, an infinite set of extra guests can be accommodated. There's no point saying this unless it's opened up in a bit more detail.

Despite a few issues with generalisation like this, though, it's a readable and enjoyable exploration for the key aspects of mathematics, plus some of the fun bits.

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

Comments

Post a Comment

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...