This book contains the most interesting problems from the first 24
years of the 'Mathematical Duel', an annual international
mathematics competition between the students of four schools: the
Gymnazium Mikulase Kopernika in Bilovec, Czech Republic, the
Akademicki Zespol Szkol Ogolnoksztalcacych in Chorzow, Poland, the
Bundesrealgymnasium Kepler in Graz, Austria and the Gymnazium
Jakuba Skody in Prerov, Czech Republic.The problems are presented
by topic, grouped under the headings Geometry, Combinatorics,
Number Theory and Algebra, which is typical for olympiad-style
competitions.Above all, it is of interest to students preparing for
mathematics competitions as well as teachers looking for material
to prepare their students, as well as mathematically interested
enthusiasts from all walks of life looking for an intellectual
challenge.
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