Mathematical Olympiad Treasures.
It was a pleasure to read Mathematical Olympiad Treasures by Titu Andreescu and Bogdan Enescu. This book is the fruit of the prodigious activity of two well-known creators of mathematics problems in various mathematical journals.
The International Mathematical Olympiad (IMO) is a World Championship Mathematics Competition for High School students and is held annually in a different country. The first IMO was held in 1959 in Romania, with 7 countries participating. It has gradually expanded to over 80 countries from 5 continents.
The IMO Advisory Board ensures that the competition takes place each year and that each host country observes the regulations and traditions of the IMO.
Treasures is organised into six chapters. The first three deal with problems from algebra, geometry and trigonometry, number theory and combinatorics. Chapters 4, 5 and 6 give the solutions to problems presented in the first three chapters. In all the chapters you can find numerous challenging problems. All featured solutions are interesting, given in increasing level of difficulty; some of them are gems that will give great satisfaction to any mathematics student attempting to solve the problems. I believe that Mathematical Olympiad Treasures will reveal some of the beauty of mathematics to all serious students and teachers.
I could recommend this book if you have already developed a repertoire for solving Olympiad level problems. This book shows a few more interesting strategies to add to your Olympiad bag of tricks. Basically, it shows plenty of extra tricks, but very, very little on where to apply these tricks and how a student would know to use a given technique.
It is for advanced problem solvers who know what they are doing but want a good set of problems and extra techniques. A newcomer to Olympiads may wish to consider a different book to start educating themselves in problem-solving.
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|Publication:||Australian Mathematics Teacher|
|Article Type:||Book review|
|Date:||Mar 22, 2006|
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