Content: Front Matter....Pages i-viii The basics of asymptotics....Pages 1-53 Perturbation theory....Pages 54-175 Model examples....Pages 176-197 Models of asymptotic approximation of the Navier-Stokes model....Pages 198-232 Asymptotic approximation of the Boltzmann model for small and large mean free path....Pages 233-243 Other models of asymptotic approximation....Pages 244-252 Back Matter....Pages 253-268