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International Mathematical Olympiads 1978-1985 and Forty Supplementary Problems (New Mathematical Library)

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The present book is of obligatory reading for all those students and teachers interested in mathematical olympiads, as well as for the lovers of problems of ingenious solution.

The International Mathematics Olympiad began in 1959. It is an annual competition among the most brilliant high school students of the world. The book contains questions and solutions of the seven international olympiads among 1978 (twentieth olympiad) and 1985 (twenty-sixth olympiad) and it can be considered like a continuation of Samuel L. Greitzer's book that contains the first 19 olympiads.

Contrary to the official solutions that the leaders of each delegation receive during an olympiad, those included in the book are very detailed. In many cases the problems include two alternating solutions. The theorems that are necessary are demonstrated. A reading of these solutions gives a quite near panorama of what a student should know to participate with success in this type of events. Obviously it is very useful also for a trainer of students.

The book also includes 40 additional problems of the main topics considered in these competitions:

- Algebra: 10 problems - Number Theory: 6 problems - Plane Geometry: 4 problems - Solid Geometry : 4 problems - Geometric Inequalities: 7 problems - Inequalities: 4 problems - Combinatorics: 5 problems