Advances in Analysis, Probability and Mathematical Physics: Contributions of Nonstandard Analysis - Couverture souple

 
9789048144815: Advances in Analysis, Probability and Mathematical Physics: Contributions of Nonstandard Analysis
Couverture souple
ISBN 10 : 9048144817 ISBN 13 : 9789048144815
Editeur : Springer, 2010

Synopsis

In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis'. `Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier.
During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research.
Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics.
This volume can be used as a complementary text to courses in nonstandard analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis'. `Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier. During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research. Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics. This volume can be used as a complementary text to courses in nonstandard analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
9048144817
ISBN 13 
9789048144815
Reliure
Broché
Numéro d'édition
1
Nombre de pages
264
Éditeur
Albeverio Sergio, Luxemburg Wilhelm A.J., Wolff Manfred P.H.
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9780792331919: Advances in Analysis, Probability and Mathematical Physics: Contributions of Nonstandard Analysis

Edition présentée

ISBN 10 :  0792331915 ISBN 13 :  9780792331919
Editeur : Kluwer Academic Publishers, 1994
Couverture rigide