The MAA recently created the MAA Problem Books series. The first book in the series was Mathematical Olympiads 1998-1999, by Titu Andreescu and Zuming Feng, recently reviewed on MAA Online. Here is the second volume, USA and International Mathematical Olympiads 2000, by the same authors.
The book collects three groups of problems. The first group are the problems from the United States of America Mathematical Olympiad (USAMO). The second are problems used in the process of selecting the US team for the International Mathematical Olympiad (IMO). The third group are the problems from IMO itself.
The book is in three sections. The first contains the problems from each of the three competitions. The second contains hints, and the third has complete solutions (often several solutions for each problem). An appendix gives the results of USAMO and IMO for the year 2000.
For anyone who is involved in preparing students for olympiad competition, this book is clearly indispensable. It'll also be of interest to people who enjoy difficult problems that require only elementary mathematics and lots of ingenuity to solve.
Fernando Q. Gouvêa (firstname.lastname@example.org) is the editor of FOCUS and MAA Online. He teaches both "History of Mathematics" and "Number Theory", among others, at Colby College. He is a number theorist whose main research focus is on p-adic modular forms and Galois representations.