Central European Olympiad, A: The Mathematical Duel

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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 Mikuláse Kopernika in Bilovec, Czech Republic, the Akademicki Zespól Ogólnoksztacacych in Chorzów, Poland, the Bundesrealgymnasium Kepler in Graz, Austria and the Gymnázium Jakuba kody in Prerov, Czech Republic. The problems are presented by topics; 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 and teachers looking for material to prepare their students, as well as mathematically interested enthusiasts from all walks of life looking for an intellectual challenge. Book jacket.