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 Gymnázium Mikulá?e Koperníka in Bílovec, Czech Republic, the Akademicki Zespó? Szkó? Ogólnokszta?c?cych in Chorzów, Poland, the Bundesrealgymnasium Kepler in Graz, Austria and the Gymnázium Jakuba ?kody in P?erov, 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.Key Features: o The wide selection of problems makes it especially interesting for students and teachers preparing for olympiad-style mathematical competitionso The participants in this particular competition range in age from 13 to 18, and the problems are created with this wide range in mindo Any interested reader is bound to find something interesting to suit their own level of experience
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