The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world.
Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off.
About the Author
Each of the authors are from Serbia and all were medalists in the mathematical olympiads. Dusan Djusic is an expert in number theory and took part in 3 IMOs. He won 2 silver medals and 1 gold. He has also participates in 2 Balkan IMOs and medaled in each.
Ivan Matic's area of research is partial differential equations and won a silver medal at the 1999 IMO along with a number of awards in other competitions.
Vladimir Jankovic's areas of study are extreme problems in optimal control. He was awarded 2 silver medals at the IMOs in 1969 and 1970 and has been the main gatekeeper for the shortlist problems from IMOs of years past.
Nikola Petrović took part in 3 IMOs and 2 Balkan IMOs and has been awarded silver and bronze medals.