Homogenisation: Averaging Processes in Periodic Media : Mathematical Problems in the Mechanics of Composite Materials

Et moi, .... si javait su comment en revenir, One service mathematics has rendered the je ny 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 detre of this series.