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International Mathematical Olympiad Volume 1

International Mathematical Olympiad Volume 1

István Reiman

(2005)

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Book Details

Abstract

The 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 first volume features every question set from 1959–75, 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.


The 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 first volume features every question set from 1959–75, 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.


István Reiman was formerly Leader of the Chair of Geometry at the Budapest University of Technology. He has guided the Youth Mathematical Circle of the J Bolyai Mathematical Society and directed the preparation of Hungarian students for the annual International Maths Olympiad for 40 years. He was awarded the Paul Erdos Award by the World Federation of Mathematics Competitions in early 2000.

Table of Contents

Section Title Page Action Price
Front Matter 1
Half Title 1
Title 3
Copyright 4
Preface, by Istvan Reiman 5
Main Matter 7
International Mathematical Olympiad Problems 7
1959 7
1960 8
1961 9
1962 10
1963 10
1964 10
1965 12
1966 12
1967 14
1968 15
1969 16
1970 16
1971 17
1972 19
1973 19
1974 19
1975 21
Solutions 23
1959 23
1960 29
1961 37
1962 49
1963 61
1964 70
1965 77
1966 86
1967 98
1968 106
1969 115
1970 128
1971 139
1972 147
1973 158
1974 166
1975 176
End Matter 190
Glossary of Theorems 190