Collection of optimization problems. Theory. Examples. Problems. UMO stamp for classical university education

The book contains approximately 700 problems on finding extrema for the finite-dimensional case, for problems of classical variational calculus, optimal control, and convex programming. It includes elements of functional analysis, differential calculus, and convex analysis. The book presents the theory necessary for solving problems and provides examples. The solution to all problems is based on a unified principle that traces back to Lagrange. Some problems are presented with solutions. There are a large number of difficult problems that can be used as coursework and dissertations. For students of universities studying in the specialties of "Mathematics" and "Applied Mathematics," as well as for graduate students and researchers. Recommended by the Educational and Methodological Council for Mathematics and Mechanics of the UMO for classical university education as a problem book for students of higher educational institutions studying in the group of mathematical directions and specialties.