Stochastic Equations and Differential Geometry

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53,49 

Mathematics and its Applications 30

ISBN: 9027728070
ISBN 13: 9789027728074
Autor: Belopolskaya, Ya I/Dalecky, Yu L
Verlag: Springer Verlag GmbH
Umfang: xvi, 260 S.
Erscheinungsdatum: 28.02.1990
Produktform: Gebunden/Hardback
Einband: GEB

Stochastic analysis on manifolds concerns the study, on infinite-dimensional manifolds, of both random processes and partial differential equations, each aspect being covered here. The volume begins with the main tools coming from differential geometry, especially connection theory on bundles. Systematic treatment is given to Ito’s stochastic calcu

Beschreibung

'Et moi,., 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, on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. 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 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.

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