Time-dependent linear transport theory -- An introduction to the nonlinear boltzmann-vlasov equation -- The Boltzmann equation and its properties -- Preliminary results on the non-existence of solutions for a half space boltzmann collision model with three degrees of freedom -- The space-homogeneous Boltzmann equation for molecular forces of infinite range -- The cauchy problem for the Boltzmann equation. A survey of recent results -- Boltzmann hierarchy and boltzmann equation -- A nonlinear half-space problem in the kinetic theory of gases