Introduction.- Symbols used in the figures.- 2. Particle Size Distribution of Ground Material.- Definition of specific surface.- Summary of Chapter 2.- Symbol nomenclature in Chapter 2.- 3. The State Space Equations of Batch Grinding.- Determination of the elements of the comminution (size distribution) matrix.- Determination of the elements of breakage rate matrix.- Solution of the state equations.- Connection between the classical theory of grinding and the state equations.- Calculation of the specific surface.- Summary of Chapter 3.- Symbol nomenclature in Chapter 3.- 4. Modelling of Open Circuit Grinding.- Summary of Chapter 4.- Symbol nomenclature in Chapter 4.- 5. Material Flow Models of Closed Circuit Grinding.- Macrostructural models.- Dynamic particle size distribution models.- Summary of Chapter 5.- Symbol nomenclature in Chapter 5.- 6. Mathematical Model of the Classifier.- Problems of modelling the specific surface of the final product.- Summary of Chapter 6.- Symbol nomenclature in Chapter 6.- 7. Dynamic Models of the Chemical Composition of Ground Materials.- Modelling of homogenizing silos.- Batch silo.- Continuous silo.- Summary of Chapter 7.- Symbol nomenclature in Chapter 7.- 8. Advanced Control Systems for Grinding.- Composition control.- Control of the quantity produced.- Fineness control.- Summary of Chapter 8.- Symbol nomenclature in Chapter 8.- References.