Skip to main content

The Calculus Story - David Acheson ***

According to the back cover 'This little book is more ambitious than it looks.' Apart from a distinct feeling of damning with faint praise, there's an element of truth in this, which proves both a negative and a positive, depending on what you're looking for from a book on calculus.

Let's get the negative out of the way first. To make it a mathematical adventure, as the subtitle suggests, it would need rather more story and rather less calculus. Although David Acheson does get some history of maths in, this is much more 'getting your head around calculus for beginners' than it is 'the calculus story.' So, yes, you will discover, for instance, the battle between Newton and Leibniz - and Bishop Berkeley's magnificently titled 'the Analyst, or a discourse addressed to an infidel mathematician' - but only in a few passing lines.

What we get instead is a step by step introduction to calculus from first principles, which builds on Ancient Greek concepts through to limits and far more. Along the way readers will discover why there is such a relationship between calculus and infinite series and how pi and e come into the mix. We even get a spot of calculus using imaginary numbers.

There's frankly far too much grunt work here for this to really qualify as popular maths. But, equally, this little hardback lacks the dull writing style and worked examples of a textbook. It's far too readable to be one of those. 

I'd say there are broadly two types of people who may find this book interesting. If you've done some calculus but just crunch the numbers according to the rules without thinking about why it works, the book will be extremely enlightening. And if you have a general interest in mathematics but don't really understand how many apparently unrelated components come together, it should go down very nicely. But don't expect that promised adventure. This book a far too practically minded for that.

Hardback:  

Kindle:  

Review by Brian Clegg

Comments

Popular posts from this blog

The Feed (SF) - Nick Clark Windo ****

Ever since The War of the Worlds, the post-apocalyptic disaster novel has been a firm fixture in the Science Fiction universe. What's more, such books are often among the few SF titles that are shown any interest by the literati, probably because many future disaster novels feature very little science. With a few exceptions, though (I'm thinking, for instance, The Chrysalids) they can make for pretty miserable reading unless you enjoy a diet of page after page of literary agonising.

The Feed is a real mixture. Large chunks of it are exactly that - page after page of self-examining misery with an occasional bit of action thrown in. But, there are parts where the writing really comes alive and shows its quality. This happens when we get the references back to pre-disaster, when we discover the Feed, which takes The Circle's premise to a whole new level with a mega-connected society where all human interaction is through directly-wired connections… until the whole thing fails …

The Bastard Legion (SF) - Gavin Smith *****

Science fiction has a long tradition of 'military in space' themes - and usually these books are uninspiring at best and verging on fascist at worst. From a serious SF viewpoint, it seemed that Joe Haldeman's magnificent The Forever War made the likes of Starship Troopers a mocked thing of the past, but sadly Hollywood seems to have rebooted the concept and we now see a lot of military SF on the shelves.

The bad news is that The Bastard Legion could not be classified as anything else - but the good news is that, just as Buffy the Vampire Slayer subverted the vampire genre, The Bastard Legion has so many twists on a straightforward 'marines in space' title that it does a brilliant job of subversion too.

The basic scenario is instantly different. Miska is heading up a mercenary legion, except they're all hardened criminals on a stolen prison ship, taking part because she has stolen the ship and fitted them all with explosive collars. Oh, and helping her train her &…

On the Moor - Richard Carter ****

There's much to enjoy in Richard Carter's pean to the frugal yet visceral delights of being one with England's Pennine moorland. If this were all there were to the book it would have made a good nature read, but Carter cleverly weaves in science at every opportunity, whether it's inspired by direct observations of birds and animals and plants - I confess I was ignorant of the peregrine falcon's 200 mile per hour dive - or spinning off from a trig point onto the geometric methods of surveying through history all the way up to GPS.

Carter is something of an expert on Darwin, and inevitably the great man comes into the story many times - yet his appearance never seems forced. It's hard to spend your time in a natural environment like this and not have Darwin repeatedly brought to mind.

I confess to a distinct love of these moors. Having spent my first 11 years in and around Littleborough, just the other side of Blackstone Edge from Carter's moor, the moorland…