One service mathematics has rendered the 'Et moi .... si favait su
comment en revenir, je human race. It has put common sense back n'y
serais point a1l6.' lules Verne where it belongs, on the topmost
shelf next to the dusty eanister labelled 'discarded nonsense' .
Erie T. Bell The series is divergent; therefore we may be 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
nonlineari ties abound. Similarly, all kinds of parts of
mathematics serve as tools for other parts and for other sci ences.
Applying a simple rewriting rule to the quote on the right above
one finds such statements as: 'One ser 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 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 specia1ization
and diversification have brought a host of monographs and textbooks
on increasingly specialized topics. However, the 'tree' of
knowledge of mathematics and It also happens, quite often in
related fields does not grow only by putting forth new branches."
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