Teramo: 2011. — 163 p. The aim of this work is to provide solutions to problems on inequalities proposed in various countries of the world in the years 1990-2005. In the summer of 2006, after reading Hoojoo Lee’s nice book, Topics in Inequalities - Theorem and Techniques, I developed the idea of demonstrating all the inequalities proposed in chapter 5, subsequently reprinted in...
Editura Gil, 1996. — 62 p. Mathematical competitions have a long traditions in Romania. The first mathematical contest was held in 1998, when the Ministry of the Public Education organized a national contest for the secondary schools, a part of which was an examination in mathematics. In this book presented the problems proposed in the final round of the 47-th olympiad.
Plus Publishing House, Bucharest, Romania 2003 — 146 p. This book is intended to help students preparing to participate in mathematical Olympiads for juniors. An international competition for students up to 15 and 1/2 years is hosted annually in one of the Balkan countries since 1997. In the first chapter are presented the problems from this six Olympiads. Each Olympiad test...
Mathematical Reflections. — 2007. — №6. — 13 p. Often, the key to solve some intricate algebraic inequality is to simplify it by employing a trigonometric substitution. When we make a clever trigonometric substitution the problem may reduce so much that we can see a direct solution immediately. Besides, trigonometric functions have well-known properties that may help in solving...
This is an unofficial collection of the Irish Mathematical Olympiads. Unofficial in the sense that it probably contains minor typos and has not benefitted from being proofread by the IrMO committee. This annual competition is typically held on a Saturday at the beginning of May. The first paper runs from 10am – 1pm and the second paper from 2pm – 5 pm.