The textbook discusses the theoretical foundations of mathematical programming from the point of view of the methodology of system analysis. Methods of solving problems of linear, nonlinear, dynamic programming and some special problems of linear programming are presented The problems of using well-known methods and models of game theory in the development of rational management solutions in uncertain conditions are considered. The applications present tasks for self-solution. [DT For university students studying in the areas of "Economics", "Management" and "Trade" . ;Griff:Recommended by the authorized institution of the Ministry of Education and Science of the Russian Federation - the State University of Management as a textbook for students of higher educational institutions studying in the direction of training "Economics" and economic specialties