Hamiltonian Mechanical Systems and Geometric QuantizationThe book is a revised and updated version of the lectures given by the author at the University of Timi oara during the academic year 1990 1991. Its goal is to present in detail someold and new aspects ofthe geometry ofsymplectic and Poisson manifolds and to point out some of their applications in Hamiltonian mechanics and geometric quantization. The material is organized as follows. In Chapter 1 we collect some general facts about symplectic vector