Geometric Problems on Maxima and Minima

Very interesting and challenging selection of extrema problems - many solved through IMO-level Euclidean geometry. Suitable for high-school students preparing for IMO.Unfortunately, this Birkhauser book is very expensive for a 264-page paperback; the price pretty much guarantees that it will not be widely read by its intended audience.

Choice of topics is great. My main annoyance is the lack of suitable references to further explore the important topics that are sketched. The writing is often stilted and so confusing in some parts that you have to read the solution in order to understand the problem. I blame the editors for that. There are some real gems in the problem sets, especially with respect to the tangency principle. This is a good place for people who actually work optimization problems in real life, beyond the math competitions this book is geared to, to understand at a top-level how the methods can be employed. The notation could be more consistent throughout or at least provide a Notations page to facilitate nonlinear reading.