The textbook is intended for students of the specialty "Applied mathematics and computer science", studying in the second year of the day department and the third year of the evening department, in the discipline "Theoretical mechanics" . The offered educational and methodological material allows students to individually study one of the sections of theoretical mechanics - statics. Definitions, positions and postulates introduced in statics are then actively used in dynamics - the main section of theoretical mechanics. The manual includes the theoretical foundations for the definition of bonds and their reactions, the main vector and the main point of the system of forces. equilibrium equation for general and all particular cases: and practical examples in the form of solving the most typical problems of statics The manual also contains a list of questions for self-control and a list of tasks for independent decision. The result of studying statics for students of the faculty of PMM is the solution of credit work, variants of which are given in the manual, along with the analysis of typical tasks of this kind.