Homogenisation: Averaging Processes in Periodic Media

''Et moi, .... si j''avait su comment en revenir, One service mathematics has rendered the je n''y semis point all,,: human race. It has 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 !inearities 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.