1. The principle of virtual displacement. Problem of mathematical programming..- 2. The detachment principle and optimization methods.- 3. The energy theorem.- 4. Models for systems of linear equations and inequalities. Alternative theorems. Models for linear programming problems..- 5. Hodograph method for linear programming problems.- 6. Method of shifting elastic constraints for linear programming problems.- 7. Problem of maximum flow in networks.- 8. Models and methods for solving transportation problem of linear programming.- 9. Methods of decomposition of linear programming problems.- 10. Gradient methods.- 11. The method of aggregation of constraints.- 12. Foundations of thermodynamics.- 13. Equilibrium and distribution of resources.- 14. Models of economic equilibrium.- 15. Von Neumann's model of economic growth.- 16. Analytical dynamics.- 17. Dynamics of systems under elastic constraints.- 18. Dynamical problems of optimal control.- References.- Name index.