This review is from: The Mystery of the Prime Numbers: Secrets of Creation v. 1 (Paperback)
The publisher/ writer has been nagging me for a review, so here goes..
Overall, I think it's a good book and is suitable for a wide audience. I found the introduction a bit long winded, basically making the point that numbers can be quantitive or qualitative - I didn't notice a link to prime numbers, even though it is relevant. There was a slight political edge which I agreed with but perhaps not suited to a book like this.
I think there were about 3 examples to demonstrate the sieve of Eratosthenes and all of them seemed to me a lot more complicated than the traditional method, which is surely one of the easiest mathematical things to do.
However, I thought the use of spirals to do logarithms was inspired and a useful teaching method for the future. Again though, I find it easier to understand logs in number form, but that's just me. The book describes how imaginary numbers work in a way which I found novel and helpful (I've always had difficulty with that).
The book was useful in describing detailed parts of the Reimann Hypothesis which you don't normally see in other popular maths books or on Wikipedia.
I liked the cartoons.
The appendices were good - these explain the maths in more detail.
When I read the (first) book, the full set of three volumes cost £45 which was prohibitively expensive. I think they should be condensed into 2 volumes and the price reduced, then it might take off.
Not sure if it matches the hype, but it is a good book and I would recommend it to anyone who's interested in prime numbers. Its strength is that the writer clearly knows the subject inside out and is able to put it across in layman's terms.