Stochastic Equations and Differential Geometry: 30 (Mathematics and its Applications, 30) - Hardcover

Belopolskaya, Ya.I.; Dalecky, Yu.L.

Hardcover

ISBN 10: 9027728070 ISBN 13: 9789027728074

Publisher: Springer, 1990

Synopsis

'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.

About this title

Synopsis

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

Edition details

• Publisher: Springer
• Publication date: 1990
• Language: English
• ISBN 10: 9027728070
• ISBN 13: 9789027728074
• Binding: Hardcover
• Number of pages: 276