'Et moi, ... , si j"avait su comment en revenir, One service mathematics bas rendered the je n'y seWs point alit: human race. It bas put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Inhalt

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.