The second edition of Fundamentals of Preparative and Nonlinear Chromatographyis book that discusses all the physico-chemical issues related to linear and nonlinear chromatography. It summarizes the essential issues involved in thermodynamics (single-component and competitive liquid-solid equilibrium isotherms, influence of the temperature, the pressure, and the mobile phase composition on these isotherms, heterogeneity of the surface of adsorbents), mass transfer kinetics (diffusion through bulk liquids, through particle beds, and through particles, surface diffusion, competitive diffusion), and flow through porous media (pressure drop, permeability, viscosity of mixtures, viscous fingering). It presents the different models used in chromatography (ideal, nonlinear model, linear, nonideal model, equilibrium-dispersive model, transport and transport-dispersive models, general rate model, POR model), their algebraic and numerical solutions, and the practical applications made of these solutions (elution, frontal analysis and displacement chromatography, gradient elution, system peaks). Also discussed are the various processes derived from chromatography, particularly the different modes of recycling, the true and the simulated moving bed separators, including the recent variants of this SMB process. Finally, it describes and illustrates the different methods used for the optimization of the experimental conditions with different objective functions.