Stochastics, Algebra and Analysis in Classical and Quantum Dynamics (1990 ed.)

'Et moi, "'f si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aile': ' human race.

It has put common sense back Jules Verne where it belongs, 011 the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be 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 Iinearities 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_ This series, Mathematics and Its Applications, started in 1977.

Now that over one hundred volumes have appeared it seems opportune to reexamine its scope.

At the time I wrote ''Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics.

However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches."