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Published by Universität München, 1976
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Condition: New. After functional, measure and stochastic analysis prerequisites, the author covers chaos decomposition, Skorohod integral processes, Malliavin derivative and Girsanov transformations. Series: Cambridge Tracts in Mathematics. Num Pages: 428 pages. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 234 x 154 x 26. Weight in Grams: 750. . 2012. hardcover. . . . . Books ship from the US and Ireland.
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Assuming only basic knowledge of probability theory and functional analysis, this book provides a self-contained introduction to Malliavin calculus and infinite-dimensional Brownian motion. In an effort to demystify a subject thought to be difficult, it exploits the framework of nonstandard analysis, which allows infinite-dimensional problems to be treated as finite-dimensional. The result is an intuitive, indeed enjoyable, development of both Malliavin calculus and nonstandard analysis. The main aspects of stochastic analysis and Malliavin calculus are incorporated into this simplifying framework. Topics covered include Brownian motion, Ornstein-Uhlenbeck processes both with values in abstract Wiener spaces, Lévy processes, multiple stochastic integrals, chaos decomposition, Malliavin derivative, Clark-Ocone formula, Skorohod integral processes and Girsanov transformations. The careful exposition, which is neither too abstract nor too theoretical, makes this book accessible to graduate students, as well as to researchers interested in the techniques.
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Taschenbuch. Condition: Neu. Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum | Symposium Proceedings, San Servolo, Venice, Italy, May 16-22, 1999 | Peter Schuster (u. a.) | Taschenbuch | Synthese Library | xiii | Englisch | 2010 | Springer | EAN 9789048158850 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Published by Kluwer Academic Publishers, 2002
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Condition: New. Symposion Proceedings, San Servolo, Venice, Italy, May 16-22, 1999 Editor(s): Schuster, P.; Berger, Ulrich; Osswald, Horst. Series: Synthese Library. Num Pages: 329 pages, biography. BIC Classification: PBCD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 20. Weight in Grams: 664. . 2002. Hardback. . . . .
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - At first glance, Robinson's original form of nonstandard analysis appears nonconstructive in essence, because it makes a rather unrestricted use of classical logic and set theory and, in particular, of the axiom of choice. Recent developments, however, have given rise to the hope that the distance between constructive and nonstandard mathematics is actually much smaller than it appears. So the time was ripe for the first meeting dedicated simultaneously to both ways of doing mathematics - and to the current and future reunion of these seeming opposites. Consisting of peer-reviewed research and survey articles written on the occasion of such an event, this volume offers views of the continuum from various standpoints. Including historical and philosophical issues, the topics of the contributions range from the foundations, the practice, and the applications of constructive and nonstandard mathematics, to the interplay of these areas and the development of a unified theory.