International Mathematical Olympiad Volume 2: 1976–1990The famed International Mathematical Olympiad has been challenging students worldwide for over 40 years. The first competition was held in Romania in 1959 with seven countries participating. It has since expanded to attract competitors from over 80 countries, representing all five continents. This second volume features every question set from 1976-1990, along with comprehensive solutions and multiple answers where applicable. A fantastic selection of mathematical puzzles, this fully updated three volume series will be of interest to serious mathematicians and enthusiasts alike. István Reiman’s compilation of logic puzzles and questions will tease the intellect of all those with a mathematical mind. |
Common terms and phrases
A₁ a˛+b˛ An+1 angle arbitrary assume b₁ bicentric polygons bisector C₁ centre choose circle circle k circumcircle circumradius coefficients collinear colour consecutive contains contradiction convex convex polygon coprime denote diagonals digits distance divides divisor edges elements equality holds equation Euler line Figure finite fixed points H₁ hence implies incentre incircle inequality isosceles k₁ lattice least least common multiple Lemma length midpoint n-tuples n₁ notations orthocentre P₁ pair pairwise parallel parallelepiped pedal triangle permutations perpendicular plane Pn(x point of intersection polygonal path polynomial positive integer prime problem proof quadrangle quadrilateral radius real numbers Remark respectively right triangle rotation Second solution segments sequence sides Similarly square subsets tangent tetrahedron theorem Third solution triangle ABC values vectors vertex vertices