Ian Stewart "17 Equations That Changed The World" (Profile Books)

Here Ian Stewart covers 17 equations that transformed our understanding of the world, normally either by their application in science or because they are directly scientific in nature. Told in chronological order, starting with Pythagoras, the historical features and cultural significance of each equation are comprehensively described. Much of this is interesting, even entertaining, though it does appear too much on occasion.
What is critical here, though, is the explanation of the equations themselves. Sometimes Stewart provides extremely basic and clear explanations of mathematical concepts, such as what the two above a number means. Although anyone reading this should know this already, I never minded this. But there are many instances where he also describes another mathematical tool, such as matrices, and gives no explanation at all for what it is or how it works. Thankfully, I know how they work and that they use the non -commutative branch of arithmetic. This is the crux of the issue with the book - it combines some very deft explanations of mathematical or scientific concepts with other sections that are either too rushed or too full of jargon. I found this annoying and wished he'd spent more time trying to explain everything as clearly as he was occasionally clearly capable of, especially for readers who lack the mathematical knowledge.
Overall, to give a flavour of the influence of maths on science, and where key mathematical ideas sit in history, this was a useful book, but for each specific chapter I was left feeling I have seen clearer explanations elsewhere by other writers when more time was given to making them clear to the reader.

Here Ian Stewart covers 17 equations that transformed our understanding of the world, normally either by their application in science or because they are directly scientific in nature. Told in chronological order, starting with Pythagoras, the historical features and cultural significance of each equation are comprehensively described. Much of this is interesting, even entertaining, though it does appear too much on occasion.
What is critical here, though, is the explanation of the equations themselves. Sometimes Stewart provides extremely basic and clear explanations of mathematical concepts, such as what the two above a number means. Although anyone reading this should know this already, I never minded this. But there are many instances where he also describes another mathematical tool, such as matrices, and gives no explanation at all for what it is or how it works. Thankfully, I know how they work and that they use the non -commutative branch of arithmetic. This is the crux of the issue with the book - it combines some very deft explanations of mathematical or scientific concepts with other sections that are either too rushed or too full of jargon. I found this annoying and wished he'd spent more time trying to explain everything as clearly as he was occasionally clearly capable of, especially for readers who lack the mathematical knowledge.
Overall, to give a flavour of the influence of maths on science, and where key mathematical ideas sit in history, this was a useful book, but for each specific chapter I was left feeling I have seen clearer explanations elsewhere by other writers when more time was given to making them clear to the reader.