Introduction, Definitions, Goal. The Mass Balance Equation of Chromatography and Its Properties. Single-Component Equilibrium Isotherms. Competitive Equilibrium Isotherms. Fundamentals of Transfer Phenomena Involved in Chromatography. Linear Chromatography. The Ideal Model of Chromatography: Elution of Single Component Bands. The Ideal Model of Chromatography: Elution of Two-Component Bands. The Ideal Model of Chromatography: Displacement Chromatography. The Equilibrium-Dispersive Model: Elution of Single-Component Bands. The Equilibrium-Dispersive Model: Isocratic Separations of Two-Component Bands and Gradient Elution. The Equilibrium-Dispersive Model: Frontal Analysis and Displacement. The Equilibrium-Dispersive Model: System Peaks in Chromatography. The Kinetic Models: Frontal Analysis and Elution of Single Component Bands. The Kinetic Models: Frontal Analysis, Elution and Displacement of Multicomponent Bands. Optimization of the Experimental Condition in Preparative Chromatography.