Elementary methods in extreme tasks. Textbook for universities. 3rd edition, processed. Malozemov V.N., Masharsky S.M.

The book discusses extreme tasks (tasks of the largest and smallest values), the solution of which can be obtained using inequalities. Interest is not only the inequalities themselves, but also the conditions under which inequality is fulfilled as equality. It is these conditions that allow you to find a solution to an extreme problem. The inequalities between classic average values, the inequality of Koshi-Bunakovsky and Yensen’s inequality for strictly convex functions are widely used. The reader requires knowledge of the basics of differential calculation of the functions of one variable to a second -order derivative inclusive.

The manual is intended for primary school students of mathematical faculties of universities and pedagogical universities.