Non-elementary tasks in an elementary presentation: Combinatorics and probability theory problems, problems from various disciplines

In this book, written by famous domestic mathematicians, most of the tasks refers to mathematical disciplines studied only in higher education ,- to the theory of probability, projective geometry, topology, integral calculation, and theory of numbers. At the same time, none of the tasks collected here requires to solve knowledge that go beyond the school course of mathematics (except for brief clarifications given in some places of the book before the conditions of the relevant tasks), --- and according to the wording, and according to the methods of solving All these tasks are quite elementary. The book consists of conditions of tasks, solutions and answers with instructions. The main goal of the book is to introduce the reader to a number of mathematical facts, ideas and methods, the form of the taskman is chosen in order to stimulate active, creative work on all this material.

The book is designed for those who are fond of mathematics of senior schoolchildren and primary school students, for teachers of mathematics and in general for all lovers of this science, it can be used in the work of school and student mathematical circles