Elements of the mathematical apparatus of continuum mechanics

The manual compressed the information from the sections of mathematics, useful when studying the course of the foundations of the mechanics of a solid medium. The mathematical apparatus is focused on a strict representation of the basic concepts and laws of mechanics, on an axiomatic approach to the presentation of the course. Vectors, tensors and operations on them are given in direct (invariant) notation, widely used in the literature on the mechanics of deformable media. ADM on the classical university education is admitted as a training manual for students of higher educational institutions, students in the direction of the preparation of higher professional education on 01.03.03 "mechanics and mathematical modeling" and specialty 01.05.01 "Fundamental mathematics and mechanics"