A Brief History of Mathematical Thought

A Brief History of Mathematical Thought - Luke Heaton ***

I had great hopes at the start of this book that we'd get a meaty but approachable history of the development of mathematics. When describing the origins of number, arithmetic and mathematical processes the opening section is pitched well, but things go downhill when we get to detailed mathematical exposition.

The problem may be that Luke Heaton is a plant scientist, which may have prepared him better for using maths than for explaining it. If we take, for instance, his explanation of the demonstration that the square root of two is irrational, I was lost after about two lines. As soon as Heaton gets into mathematical detail, his fluency and readability are lost.

There's a central chunk of the book where the mathematical content seems too heavy for the way the contextual text is written. We then get back onto more effective ground when dealing with logic and Turing's work, before diving back into rather more impenetrable territory.

One slight concern is that, in talking about Turing, Heaton presents the largely discredited idea that Turing committed suicide by eating a poisoned apple, laying the blame for this on his arrest and 'treatment' for homosexuality, a narrative that doesn't stand up (it's a shame the author didn't have a chance to read The Turing Guide). I suspect this is a one-off and much of the mathematical history is fine.

I didn't realise until I'd finished it that it has an interesting publishing history. It was initially part of the same Robinson published series as my A Brief History of Infinity, but this is a US hardback edition, just brought out by OUP. This was, then, a curate's egg book for me. I really enjoyed it when it was dealing with history and philosophy of maths, but found the technical explanations, even of mathematics I understand perfectly well, hard to follow.

Paperback (US hardback):

Kindle:

Using these links earns us commission at no cost to you

Review by Brian Clegg

Comments

Phenomena - Camille Juzeau and the Shelf Studio ****

I am always a bit suspicious of books that are highly illustrated or claim to cover 'almost everything' - and in one sense this is clearly hyperbole. But I enjoyed Phenomena far more than I thought I would. The idea is to cover 125 topics with infographics. On the internet these tend to be long pages with lots of numbers and supposedly interesting factoids. Thankfully, here the term is used in a more eclectic fashion. Each topic gets a large (circa A4) page (a few get two) with a couple of paragraphs of text and a chunky graphic. Sometimes these do consist of many small parts - for example 'the limits of the human body' features nine graphs - three on sporting achievements, three on biometrics (e.g. height by date of birth) and three rather random items (GNP per person, agricultural yields of various crops and consumption of coal). Others have a single illustration, such as a map of the sewers of Paris. (Because, why wouldn't you want to see that?) Just those two s...

The Bright Side - Sumit Paul-Choudhury ***

When I first saw The Bright Side (the subtitle doesn't help), I was worried it was a self-help manual, a format that rarely contains good science. In reality, Sumit Paul-Choudhury does not give us a checklist for becoming an optimist or anything similar - and there is a fair amount of science content. But to be honest, I didn't get on very well with this book. What Paul-Choudhury sets out to do is to both identify what optimism is and to assess its place in a world where we are beset with big problems such as climate change (which he goes into in some detail) that some activists position as an existential threat. This is all done in a friendly, approachable fashion. In that sense it's a classic pop-psychology title. For me, Paul-Choudhury certainly has it right about the lack of logic of extreme doom-mongers, such as Extinction Rebellion and teenage climate protestors, and his assessment of the nature of optimism seems very reasonable, if presented at a fairly overview leve...

The Meteorite Hunters - Joshua Howgego *****

This is an extremely engaging read on a subject that everyone is aware of, but few of us know much detail about. Usually, if I'm honest, geology tends to be one of the least entertaining scientific subjects but here (I suppose, given that geo- refers to the Earth it ought to be astrology... but that might be a touch misleading). Here, though, there is plenty of opportunity to capture our interest. The first part of the book takes us both to see meteorites and to hear stories of meteorite hunters, whose exploits vary from erudite science trips to something more like an Indiana Jones outing. Joshua Howgego takes us back to the earliest observations and discoveries of meteorites and the initial doubt that they could have extraterrestrial sources, through to explorations of deserts and the Antarctic - both locations where it tends to be easier to find them. I, certainly, had no idea about the use of camera networks to track incoming meteors, which not only try to estimate where they wi...

Search This Blog