ABSTRACT
Classical dynamics is usually considered to be the first level in the development of our understanding of the physical laws in Nature, which today is based on quantum theory. Despite the many successes of quantum theory in describing basic physical phenomena, it is continually running into difficulties in some specific physical situations. Thus, all attempts to quantize the theory of gravity have encountered serious difficulties. In order to find a solution to these problems, it seems to be useful to reconsider the fundamental principles of classical dynamics. In this context, the principles of Hamiltonian dynamics are seen to be of great importance not only for a basic understanding of classical theory, but also for its quantization.
