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:  
Using these links earns us commission at no cost to you

Review by Brian Clegg

Comments

Popular posts from this blog

The God Game (SF) - Danny Tobey *****

Wow. I'm not sure I've ever read a book that was quite such an adrenaline rush - certainly it has been a long time since I've read a science fiction title which has kept me wanting to get back to it and read more so fiercely. 

In some ways, what we have here is a cyber-SF equivalent of Stephen King's It. A bunch of misfit American high school students face a remarkably powerful evil adversary - though in this case, at the beginning, their foe appears to be able to transform their worlds for the better.

Rather than a supernatural evil, the students take on a rogue AI computer game that thinks it is a god - and has the powers to back its belief. Playing the game is a mix of a virtual reality adventure like Pokemon Go and a real world treasure hunt. Players can get rewards for carrying out tasks - delivering a parcel, for example, which can be used to buy favours, abilities in the game and real objects. But once you are in the game, it doesn't want to let you go and is …

Peter Wothers - Four Way Interview

Dr Peter Wothers is a Teaching Fellow in the Department of Chemistry, University of Cambridge, and a Fellow and Director of Studies in Chemistry at St Catharine's College. He is heavily involved in promoting chemistry to young students and members of the public, and, in 2010, created the popular Cambridge Chemistry Challenge competition for students in the UK. Peter is known nationally and internationally for his demonstration lectures and presented the Royal Institution Christmas Lectures, titled The Modern Alchemist, in 2012. In 2014, he was awarded an M.B.E. for Services to Chemistry in the Queen's Birthday Honours.. His new book is Antimony, Gold and Jupiter's Wolf.

Why chemistry?

I’ve been pretty much obsessed with chemistry from about the age of 8.  I built up quite a substantial home laboratory with all sorts of things that are (quite rightly) banned now (such as white phosphorus) and also used to go to second-hand bookshops to find chemistry texts.  Eventually I boug…

Where are the chemistry popular science books?

by Brian Clegg
There has never been more emphasis on the importance of public engagement. We need both to encourage a deeper interest in science and to counter anti-scientific views that seem to go hand-in-hand with some types of politics. Getting the public interested in science both helps recruit new scientists of the future and spreads an understanding of why an area of scientific research deserves funding. Yet it is possible that chemistry lags behind the other sciences in outreach. As a science writer, and editor of this website, I believe that chemistry is under-represented in popular science. I'd like to establish if this is the case, if so why it is happening - and what can be done to change things. 


An easy straw poll is provided by the topic tags on the site. At the time of writing, there are 22 books under 'chemistry' as opposed to 97 maths, 126 biology and 182 physics. The distribution is inevitably influenced by editorial bias - but as the editor, I can confirm …