Skip to main content

Mathematics for the Million - Lancelot Hogben ***

This is one of the strangest maths books you are ever likely to encounter. Written in the 1930s and reissued in 2017, it's an attempt to provide mathematical instruction up to around A-level standard (though obviously the curriculum has changed a lot) for someone who, perhaps, doesn't respond well to the classroom and works better from self-teaching.

It's telling of the way popular science was considered in the period that apparently the author delayed publication as he was up for election to Fellowship of the Royal Society, which back then was dead against science popularisation. 

Hogben, in a distinctive, mellifluous (if sometimes prolix) style, starts with the basics of arithmetic and leads us all the way through to calculus. Unlike his contemporaries, who were all for working through hundreds of geometry proofs for completeness, Hogben fills in the parts at each stage of mathematical development needed to reach the next stage and gives us no more. 

The narrative here is very much centred on the application of mathematics through history. We see how geometry might have been used by Egyptian architects, and how trigonometry benefits those who need to navigate by the stars. The only problem with this learning-through-history approach is it can sometimes be hard to then relate what has been learned to uses in the present day.

Lancelot Hogben never intended this to be a fun read to pootle through just for the sake of it. The book is peppered with many exercises. It seems to be devised as a self-teach textbook of the future (as seen from the 1930s), throwing away the strictures of the rigid teaching approach of that period for something that is more approachable.

It's hard to say how well it delivers from the modern viewpoint of someone who has gone through all this stuff at school in a fairly traditional way. Clearly a lot of people decided it was a good approach back then: the book might not have made the 'million' in the title but certainly sold many copies. 

To the modern eye, there is a danger of the book falling between two stools. It's not approachable enough to read purely for fun, but Hogben's distinctive, quirky style, combined with what is sometimes a rather tedious approach to the maths, means that it's not the best way for a modern reader, with no mathematical training, to learn about the subject. It stands best as a unique and fascinating oddity in the history of mathematical books for the general public - and as such is worth taking a look at.

Paperback:  

Review by Brian Clegg

Comments

Popular posts from this blog

Four Way Interview - Tom Cabot

Tom Cabot is a London-based book editor and designer with a background in experimental psychology, natural science and graphic design. He founded the London-based packaging company, Ketchup, and has produced and illustrated many books for the British Film Institute, Penguin and the Royal Institute of British Architects. Tom has held a lifelong passion to explain science graphically and inclusively ... ever since being blown away by Ray and Charles Eames’ Powers of Ten at an early age. His first book is Eureka, an infographic guide to science.

Why infographics?
For me infographics provided a way to present heavy-lifting science in an alluring and playful, but ultimately illuminating, way. And I love visualising data and making it as attractive as the ideas are.  The novelty of the presentation hopefully gets the reader to look afresh. I love the idea of luring in readers who might normally be put off by drier, more monotone science – people who left science behind at 16. I wanted the boo…

Einstein's Greatest Mistake - David Bodanis ****

Books on Einstein and his work are not exactly thin on the ground. There's even been more than one book before with a title centring on Einstein's mistake or mistakes. So to make a new title worthwhile it has do something different - and David Bodanis certainly achieves this with Einstein's Greatest Mistake. If I'm honest, the book isn't the greatest on the science or the history - but what it does superbly is tell a story. The question we have to answer is why that justifies considering this to be a good book.
I would compare Einstein's Greatest Mistake with the movie Lincoln -  it is, in effect, a biopic in book form with all the glory and flaws that can bring. Compared with a good biography, a biopic will distort the truth and emphasise parts of the story that aren't significant because they make for a good screen scene. But I would much rather someone watched the movie than never found out anything about Lincoln - and similarly I'd much rather someon…

A Tale of Seven Scientists - Eric Scerri ***

Scientists sometimes tell us we're in a post-philosophy world. For example, Stephen Hawking and Leonard Mlodinow in The Grand Design bluntly say that that philosophy is 'dead' - no longer required, as science can do its job far better. However, other scientists recognise the benefits of philosophy, particularly when it is applied to their own discipline. One such is Eric Scerri, probably the world's greatest expert on the periodic table, who in this challenging book sets out to modify the philosophical models of scientific progress.

I ought to say straight away that A Tale of Seven Scientists sits somewhere on the cusp between popular science and a heavy duty academic title. For reasons that will become clear, I could only give it three stars if rating it as popular science, but it deserves more if we don't worry too much about it being widely accessible.

One minor problem with accessibility is that I've never read a book that took so long to get started. First t…