Exterior Differential Systems and Equivalence Problems

tEl moi, "0, si javait su comment en revenir, je One service mathematics has rendered the n y serais point aIle. human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled discarded nonsense. The series is divergent; therefore we may be Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought A highly necessary tool in a world where both feedback and nonlinea- ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other s- ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: One s- vice topology has rendered mathematical physics .. .; One service logic has rendered computer 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.