Optimal management

The book is devoted to the most important problems of the theory of extremum - mathematical programming, variational calculus and optimal management. The main attention is paid to the Lagrange principle for the necessary conditions, as well as sufficient conditions, convex tasks, and Hamilton formalism. Many tasks are discussed that have been set and were studied throughout the history of the theory of extremum. The material of the book is based on the experience of teaching the theory of extreme tasks at the Mechanical and Mathematics faculty of Moscow State University, and it can serve as a textbook on many different optimization courses. For students of universities, graduate students, teachers and scientists in the field of mathematics and its applications. Recommended by the educational and methodological council in mathematics and mechanics of UMO in classical university education as a textbook for students of higher educational institutions studying in a group of mathematical areas and specialties.
4th edition, corrected and supplemented