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Nonstandard Analysis : Theory and Applications - Leif O. Arkeryd

Nonstandard Analysis

Theory and Applications

By: Leif O. Arkeryd (Editor), Nigel J. Cutland (Editor), C. Ward Henson (Editor)

Hardcover

Published: 30th April 1997
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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.

Preface
Foundations of Nonstandard Analysisp. 1
Nonstandard Real Analysisp. 51
Nonstandard Analysis and Topologyp. 77
Loeb Measure and Probabilityp. 91
An Introduction to Nonstandard Functional Analysisp. 121
Applications of Nonstandard Analysis in Ordinary Differential Equationsp. 153
Better Nonstandard Universes with Applicationsp. 183
Internal Martingales and Stochastic Integrationp. 209
Stochastic Differential Equations with Extra Propertiesp. 259
Hyperfinite Mathematical Financep. 279
Applications of NSA to Mathematical Physicsp. 309
A Nonstandard Approach to Hydromechanics: Navier-Stokes Equationsp. 341
Indexp. 357
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792345862
ISBN-10: 079234586X
Series: NATO Science Series C
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 366
Published: 30th April 1997
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.4 x 17.0  x 2.2
Weight (kg): 0.75