Free PDF Balkan Mathematical Olympiads (Xyz Series), by Mircea Becheanu, Bogdan Enescu
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Balkan Mathematical Olympiads (Xyz Series), by Mircea Becheanu, Bogdan Enescu
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The authors, who have attended the BMO several times as leaders and/or deputy leaders, present a complete description of the evolution of the BMO from its creation until the present. All problems are presented with complete solutions. Many problems have alternative solutions or extensions. A preparatory addendum, containing additional concepts and useful classical results, has been incorporated at the end of the book.
- Sales Rank: #3080125 in Books
- Published on: 2014-02-15
- Original language: English
- Dimensions: 1.33 pounds
- Binding: Hardcover
- 273 pages
About the Author
Mircea Becheanu, University of Bucharest, Romania Bogdan Enescu, BP Hasdeu National College, Buzau, Romania
Most helpful customer reviews
4 of 4 people found the following review helpful.
From a student's perspective
By Nikolay Grantcharov
I am very glad that I discovered this book - I never knew that the Balkan Math Olympiad had such beautiful problems! I have since spent countless hours working on these problems.
What distinguishes this book from the BMO contests forum page on AoPS is the quality of the solutions and diagrams. Each problem is provided with at least one solution; all are complete and easy to follow. Often times the solutions show you an alternative method to the way you solved it and it is very satisfying. Furthermore, all geometry problems are supplied with really helpful diagrams that simplify the problem greatly. I have truly enjoyed this useful book and recommend it to anyone who is preparing for Math Olympiads.
3 of 3 people found the following review helpful.
Excellent contribution to the Maths Competition literature
By Mixed up ego, very loud
This book is written by two experienced and wise hands from the mathematical olympiad circuit. In common with most international competitions, the problems and associated solutions are also available at the Art of Problem Solving website.
The advantage of using this excellent book rather than the AoPS site are that (a) the quality of the solutions is excellent, and you don't have to trawl through material wondering which suggested solutions are correct and which are flawed, (b) it is very handy to have these problems analyzed in one place and (c) the quality of the diagrams in the book is excellent.
The standard of the problems at the Balkan Mathematical Olympiad is a bit easier than the IMO and the Romanian Master of Mathematics. On the other hand, the harder problems are more challenging than one finds in most national mathematical olympiads (except for those countries with a very strong mathematics competition tradition).
Who needs this book? Well, anyone preparing to sit a national mathematical olympiad (in the UK, BMO round 2) and anyone hoping to compete in a secondary (high) school international (regional or global) mathematics competition will enjoy this book. It would make an ideal birthday or Christmas (or culturally equivalent) present for a strong young mathematician. I urge schoolteachers who work in mathematically strong schools to make sure that this is held in the school library.
Geoff Smith (UK IMO team leader 2002-2010 & 2013-2014)
2 of 2 people found the following review helpful.
What I particularly like is that most of the problems are given more ...
By Razvan Gelca
This book presents 120 problems given at the Balkan Mathematical Olympiad between
1984 and 2013. These are high quality Olympiad problems, which are little known outside
the space of the Balkan Mathematical Olympiad, as I could see myself during the
training of the US International Mathematical Olympiad Team. The problems originate
in a part of the world (Eastern Europe) with a long tradition in mathematics competitions.
The difficulty level of the problems is slightly below the International Mathematical Olympiad,
and on par with the national mathematical Olympiads of strong countries, and so this material
can be used by people training for such competitions.
The book is a true gem, as it presents very detailed and carefully written solutions.
The authors have put a lot of effort to make this book attractive to the reader,
both in contents and in appearance. What I particularly like is that most of the
problems are given more than one solution, allowing the reader to
"dominate" the problem. Because of this, some of the problems can make good
topics for math clubs and math circles.
The authors of the book are famous posers of Olympiad problems
and coaches of Olympiad teams. I have met them at various mathematical
events around the world, I have read their publications, and I can say that
they are true ambassadors of elementary mathematics. We are fortunate
to have them share some of their insights with us in this book.
I would strongly recommend this book to anyone interested in problem solving at
elementary level.
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