Preface. 1. On a derivation of the Boltzmann equation (O.E. Lanford III). 2. Global existence proofs for the Boltzmann equation (W. Greenberg, J. Polewczak and P.F. Zweifel). 3. Exact solutions of the nonlinear Boltzmann equation and related kinetic equations (M. H. Ernst). 4. Solution of the Boltzmann equation (C. Cercignani). 5. Fluid dynamics and the Boltzmann equation (R.E. Caflisch). 6. Fluctuation theory for the Boltzmann equation (H. Spohn).