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Beschreibung
This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstandard analysis (NSA) and the construction of Loeb Measures, which are rich measures discovered in 1975 by Peter Loeb, using techniques from NSA. Subsequent chapters sketch a range of recent applications of Loeb measures due to the author and his collaborators, in such diverse fields as (stochastic) fluid mechanics, stochastic calculus of variations ("Malliavin" calculus) and the mathematical finance theory. The exposition is designed for a general audience, and no previous knowledge of either NSA or the various fields of applications is assumed.
EMS Lectures 1997
Details
| Verlag | Springer Berlin |
| Ersterscheinung | 12. Dezember 2000 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 211 Gramm |
| Format | Softcover |
| ISBN-13 | 9783540413844 |
| Seiten | 118 |
Schlagwörter
Angewandte Mathematik, Mathematical Logic and Foundations, Mathematics in Business - Economics and Finance, Mathematik: Logik, Mathematische Grundlagen, Probability Theory, Real Functions, Reelle Analysis - Real-Variablen, Stochastik, Wahrscheinlichkeitsrechnung und Statistik, Wirtschaftswissenschaft - Finanzen - Betriebswirtschaft und Management
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