Professor of the University of Jena (GDR) Ernst Schmutzer is familiar to the Soviet reader on the translation of his work (, 1974), which was highly appreciated by our scientific community. His new book is written on the basis of the course of lectures of the same name .. The first part is devoted to analytical mechanics, the second to the foundations of classical field theory. The author managed to present the material as a whole and show how the concepts and ideas of classical mechanics can be used in field theory, how the Lagrange-Hamilton formalism is applied in it. It is this unified approach that is a great methodological achievement of the author .. The book can be used as a teaching aid for graduate students and students specializing in applied mathematics, analytical mechanics, and theoretical physics.