Skip to main content

Will You Be Alive 10 Years from Now? – Paul J. Nahin ***

There are few mathematical subjects that are better at tantalising and intriguing than problems involving probability. In part because our natural grasp of probability is so weak, the outcomes of probability questions have an unrivalled ability to take us by surprise, to the extent that some simply deny that the outcome can possibly be right. I remember when the Monty Hall problem was first publicised a number of us were so unhappy with the right answer that we wrote computer simulations to see if the counter-intuitive solution was correct. (It was.)
This is doubly apt when looking at Paul Nahin’s book as it features regular examples of computer code to check out results, and it covers a number of other problems that were publicised by Marilyn vos Savant in Parademagazine, the same source that made Monty Hall famous in the first place. Here though, sadly, Ms vos Savant is on the losing side, as Nahin points out a number of errors in her columns that have covered probability problems.
For the general reader, this book is a real mixed bag. There are some absolute gems – problems that you can really get your teeth into and have fun with (and then often find you took entirely the wrong path), but there are also rather too many that could only excite a mathematician. Questions like ‘Given a unit square, and two points picked at random on the square, what’s the average distance between the points?’, I’m afraid does not get me even faintly interested. It’s also the case that the computer programs, in a language called MATLAB that I suspect is only available to mathematicians, are unlikely to be valuable to most readers (they would have been more accessible if he’d used Excel’s programming language, I suspect, but even then, most readers would simply ignore them).
So I think this a book that the general reader has to be prepared to skip through parts of. But it’s well worth that effort, because the bits that are of wider interest are genuinely captivating and surprising. If you aren’t scared off by formulae and probability intrigues you, give it a go – you won’t be disappointed.

Hardback 

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

Comments

Popular posts from this blog

It's On You - Nick Chater and George Loewenstein *****

Going on the cover you might think this was a political polemic - and admittedly there's an element of that - but the reason it's so good is quite different. It shows how behavioural economics and social psychology have led us astray by putting the focus way too much on individuals. A particular target is the concept of nudges which (as described in Brainjacking ) have been hugely over-rated. But overall the key problem ties to another psychological concept: framing. Huge kudos to both Nick Chater and George Loewenstein - a behavioural scientist and an economics and psychology professor - for having the guts to take on the flaws in their own earlier work and that of colleagues, because they make clear just how limited and potentially dangerous is the belief that individuals changing their behaviour can solve large-scale problems. The main thesis of the book is that there are two ways to approach the major problems we face - an 'i-frame' where we focus on the individual ...

Introducing Artificial Intelligence – Henry Brighton & Howard Selina ****

It is almost impossible to rate these relentlessly hip books – they are pure marmite*. The huge  Introducing  … series (a vast range of books covering everything from Quantum Theory to Islam), previously known as …  for Beginners , puts across the message in a style that owes as much to Terry Gilliam and pop art as it does to popular science. Pretty well every page features large graphics with speech bubbles that are supposed to emphasise the point. Funnily,  Introducing Artificial Intelligence  is both a good and bad example of the series. Let’s get the bad bits out of the way first. The illustrators of these books are very variable, and I didn’t particularly like the pictures here. They did add something – the illustrations in these books always have a lot of information content, rather than being window dressing – but they seemed more detached from the text and rather lacking in the oomph the best versions have. The other real problem is that...

The Laws of Thought - Tom Griffiths *****

In giving us a history of attempts to explain our thinking abilities, Tom Griffiths demonstrates an excellent ability to pitch information just right for the informed general reader.  We begin with Aristotelian logic and the way Boole and others transformed it into a kind of arithmetic before a first introduction of computing and theories of language. Griffiths covers a surprising amount of ground - we don't just get, for instance, the obvious figures of Turing, von Neumann and Shannon, but the interaction between the computing pioneers and those concerned with trying to understand the way we think - for example in the work of Jerome Bruner, of whom I confess I'd never heard.  This would prove to be the case with a whole host of people who have made interesting contributions to the understanding of human thought processes. Sometimes their theories were contradictory - this isn't an easy field to successfully observe - but always they were interesting. But for me, at least, ...