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.