Parity Combinatorics-1 Divisibility and remainders The pigeon hole principle Graphs-1 The triangle inequality Games Problems for the first year Induction Divisibility-2: Congruence and Diophantine equations Combinatorics-2 Invariants Graphs-2 Geometry Number bases Inequalities Problems for the second year Mathematical contests Answers, hints, solutions References.

What kind of book is this? It is a book produced by a remarkable cultural circumstance in the former Soviet Union which fostered the creation of groups of students, teachers, and mathematicians called "mathematical circles". The work is predicated on the idea that studying mathematics can generate the same enthusiasm as playing a team sport - without necessarily being competitive. This book is intended for both students and teachers who love mathematics and want to study its various branches beyond the limits of school curriculum

Translation of: Matematicheskiĭ kruzhok