Continuity. 3rd edition, stereotypical. Blinkov A.D., Gurovit V.M.

The twelfth book of the series “School Mathematical Circles” is devoted to one of the fundamental concepts of mathematics-continuity and is intended for classes with schoolchildren of grades 7-11. It includes the development of nine classes of a mathematical circle with detailed examples of various complexity, tasks for independent solution and methodological instructions for the teacher. The application contains a list of additional problems and their solutions. Strict formulations of the definitions of continuity and its properties are given, as well as the formulation of statements of a higher level, which are practically theorems and facts of higher mathematics. For ease of use, the final part of the book, as always, is made in the form of handout.

The book is addressed to school teachers of mathematics and leaders of mathematical circles.