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THEORY OF MARTINGALES IBD

ALBERT SHIRYAEV / R SH LIPTSER / ROBERT LIP
SPRINGER
09 / 1989
9780792303954
Inglés

Sinopsis

One service mathematics has rc:ndered the ?Et moi, '?, si j?avait su comment CD revenir, je n?y serais point alle. ? human race. It has put common SCIIJC back Jules Verne where it belongs. on the topmost shelf next to tbe dusty canister 1abdled ?discarded non- The series is divergent, tberefore we may be sense?. able to do sometbing witb it Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non¡ linearities 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.