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The first part of the textbook describes the fundamentals of theoretical and applied mechanics (sections on statics, kinematics, dynamics, theory of mechanisms and machines, and resistance of materials) in accordance with the curriculum of the discipline Theoretical and Applied Mechanics for students of the Bachelor's degree speciality 151 - Automation and Computer-Integrated Technologies in Higher Education. Along with the basic theoretical concepts, the textbook provides many examples of problem solving covering various technical issues. A significant place is given to solving practical engineering and technical problems. The structure and methodology of the course coverage helps to master theoretical and practical material and promotes independent work of students. Questions for self-control are provided. The publication is recommended for students of full-time, part-time and distance learning, and may also be useful for masters, postgraduate students, and engineering and technical workers.