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Nonstandard analysis: theory & applications (NATO series C/493, Edinburgh, 30.6/1.7/1996), Softcover reprint of the original 1st ed. 1997 Theory and Applications Nato Science Series C: Series, Vol. 493

Langue : Anglais

Coordonnateurs : Arkeryd Leif O., Cutland Nigel J., Henson C. Ward

Couverture de l’ouvrage Nonstandard analysis: theory & applications (NATO series C/493, Edinburgh, 30.6/1.7/1996)
Preface. 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 Funcitonal 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. Index.
Preface. 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. Lindstrøm. 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. Index.
This book presents a careful and detailed introduction to the methodology of nonstandard analysis and the foundations of its use in analysis, topology, probability theory and stochastic analysis. Further articles expound recent, more advanced applications in functional analysis, stochastic differential equations, mathematical physics and mathematical finance theory. All authors are world leaders in the subject. Audience: All mathematicians at postgraduate level and beyond who wish to learn the basics of nonstandard analysis and its role in current mathematical research.

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