Still 150 beautiful problems for future mathematicians: With detailed solutions

This book contains the tasks of correspondence mathematical competitions for students of South Ural State University, in which students, graduate students and just fans of mathematics from different cities of Russia and neighboring countries also took part.
In each competition - six tasks varied in the subject (from elementary geometry and algebra to selected chapters of mathematical analysis, discrete mathematics and theory of numbers) and complexity (from entertaining tasks such as puzzles to tasks containing new scientific results).
A total of 50 competitions were held, the conditions and solutions of problems 26-50 contests held in 2013-2017 are given in this collection, the publication continues the book “150 beautiful tasks for future mathematicians”, also published in our publishing house and containing the tasks of competitions 1–25.
As the reviewers note, the tasks are fresh, non -trivial and interesting. They are addressed to students, graduate students, teachers and scientists, as well as all fans of mathematics. This collection can be used in the work of student and school mathematical circles, to prepare for the Olympics and for self -education