IMO Compendium

The authors of this volume have published the first edition with Springer in 2006. The first edition has gone through 3 printings and 2510 print sales. Links to the first edition can be found on the IMO website. 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 Petrovic took part in 3 IMOs and 2 Balkan IMOs and has been awarded silver and bronze medals.

"The International Mathematical Olympiad, or IMO is the premier international competition for talented high school mathematics students. ... This book collects statements and solutions of all of the problems ever set in the IMO, together with many problems proposed for the contest. ... serves as a vast repository of problems at the Olympiad level, useful both to students ... and to faculty looking for hard elementary problems. No library will want to be without a copy, nor will anyone involved in mathematics competitions ... ." -(Fernando Q. Gouvea, MathDL, March, 2006)

• -Preface.-1. Introduction.-2. Basic Concepts and Facts.-3. Problems.-4. Solutions.-Appendix A. Notations and Abbreviations.-Appendix B. Codes of the Countries of Origin.-References.