
Dan Rockmore
Stalking the Riemann Hypothesis
Mathematicians, both professional and amateur, find the study of the primes fascinating. However, there are still aspects of them which are not well understood, of which the Riemann Hypothesis is an example. The first part of this book discusses each of the main contributors to the subject, and shows how the different aspects of the Riemann hypothesis fit together. It then gets on to more current work, showing links to some surprising areas of study. Rockmore does an excellent job of making mathematics accessible to the nonmathematician readers, and I cna't help thinking that maybe the eventual solution to the problem will come from someone inspired by this book.
I was a bit irritated at first by the aversion to the use of equations in this book. However, I began to realise that this wasn't in fact so important, as if you want equations they are available elsewhere, and Rockmore does make good use of diagrams and graphs. Also I felt that he gives a much better explanation of the link between the zeros of the zeta function and the distribution of the primes than other books I have read. The final chapter summarizes the current state of work in the area, but it is very short. For instance the work of de Branges is only mentioned briefly  I think Rockmore is keeping away from this controversy.