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Nonstandard analysis : theory and applications / [proceedings of the NATO Advanced Study Institute on Nonstandard Analysis and its Applications, International Centre for Mathematical Sciences, Edinburgh, Scotland, 30 June - 13 July 1996] ; edited by Leif O. Arkeryd, Nigel J. Cutland and C. Ward Henson.

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Meeting:
NATO Advanced Study Institute on Nonstandard Analysis and its Applications (1996 : Edinburg, Scotland)
Language:
English
Imprint:
Dordrecht ; London : Kluwer Academic, c1997.
Format:
  • Book, Conference Proceedings
  • xiv, 366 p. : ill. ; 25 cm.
Note:
Published in cooperation with NATO Scientific Affairs Division.
Bibliography:
Includes bibliographical references and index.
Contents:
  • Foundations of Nonstandard Analysis: A Gentle Introduction to Nonstandard Extensions-- C.W. Henson. Nonstandard Real Analysis-- N.J. Cutland. Nonstandard Analysis and Topology-- P.A. Loeb. Loeb Measure and Probability-- D.A. Ross. An Introduction to Nonstandard Functional Analysis-- M.P.H. Wolff. Applications of Nonstandard Analysis in Ordinary Differential Equations-- E. Benoit. Better Nonstandard Universes with Applications-- R. Jin. Internal Martingales and Stochastic Integration-- T. Lindstrom. Stochastic Differential Equations with Extra Properties-- H.J. Keisler. Hyperfinite Mathematical Finance-- P.E. Kopp. Applications of NSA To Mathematical Physics-- L. Arkeryd. A Nonstandard Approach to Hydromechanics: Navier-Stokes Equations-- M. Capinski.
  • (source: Nielsen Book Data)
Publisher's Summary:
Presenting a detailed introduction to the methodology of nonstandard analysis and the foundations of its use in analysis, topology, probability theory and stochastic analysis, this text includes articles concerning more advanced applications in functional analysis. These include stochastic differential equations, mathematical physics and mathematical finance theory.
(source: Nielsen Book Data)
Contributor:
Arkeryd, L. (Leif)
Cutland, Nigel.
Henson, C. W.
North Atlantic Treaty Organization. Scientific Affairs Division.
Series:
NATO ASI series. Series C, Mathematical and physical sciences v. 493
Subjects:
ISBN:
079234586X
9780792345862

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