The IMO Compendium A Collection of Problems Suggested for the International Mathematical Olympiads: 1959-2009 by Dusan Djukic, Vladimir Jankovic, Ivan Matic, Nikola Petrovic


The IMO Compendium A Collection of Problems Suggested for the International Mathematical Olympiads: 1959-2009 by Dusan Djukic, Vladimir Jankovic, Ivan Matic, Nikola Petrovic

The IMO Compendium is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. 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.


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)

About the Author

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.

More books by this author

Other Formats

Book Info


823 pages


Dusan Djukic, Vladimir Jankovic, Ivan Matic, Nikola Petrovic
More books by Dusan Djukic, Vladimir Jankovic, Ivan Matic, Nikola Petrovic


Publication date

14th July 2013



A great way to introduce kids to great books, authors & genres. Parents can find age-appropriate books to share with their children.

Judi Davies – Aberdare Girls Sch

Writing reviews help the children with their literacy skills and we always read the books together which gives us good quality family time!

Cat Bisland (on behalf of the Bi

LoveReading4Kids is a modern and creative way of emphasising the value and importance of books in this digital age #booksforlife

Amrit Bunet – Teen

I love ‘LoveReading 4 kids’ because they let you read and learn things you’d never dreamed of learning before.

Emily Horncastle – age 11

I love Lovereading because I often never know what to read and this helps you find a good book. I have recommended this to many people.

Shannon-Louise Masters – age 15

I am so pleased to have signed my kids up as they are reading a much wider range of books and even choosing books out of their comfort zone.

Angela East

You give me age appropriate ideas of books I can read and buy for the children and find out what other children their age think of them too.

Katie Lonsdale

I love Lovereading4kids because I get an opportunity to put my opinion forward and to try new books

Elosie Clarkson – age 11

Lovereading 4 schools