The book gives a systematic exposition of the theory of elasticity, starting with the conclusion of the basic relations and ending with some solutions obtained in recent years. A flat problem, torsion and stress concentration problems, some spatial problems, variation principles and methods for solving problems are considered in detail. Problems of wave propagation in elastic medium are also described. The author's appendix to the book, which was not in previous editions, describes the finite difference method for solving a flat problem, and the appendix written by the translator to the Russian edition sets out the finite element method.