1992. 274 s. The book is the first part of a slightly processed summary of lectures on the course of theoretical mechanics, which is read by the author to students of the Faculty of Physics and Mechanics .. The author had to take into account conflicting requirements. On the one hand, this is a modern advanced course, read by future mechanical engineers-researchers during the second, third and fourth semesters. On the other hand, when reading the course, the author could only count on the fact that students have mathematics in the amount of the school program. Hence the extremely simplistic style of presentation. The book contains: vectors in 3-dimensional space, tensors of the second rank, kinematics: description of movements and