1. 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