Advances in Analysis, Probability and Mathematical Physics: Contributions of Nonstandard Analysis: 314 (Mathematics and Its Applications) - Softcover

 
9789048144815: Advances in Analysis, Probability and Mathematical Physics: Contributions of Nonstandard Analysis: 314 (Mathematics and Its Applications)
Softcover
ISBN 10: 9048144817 ISBN 13: 9789048144815
Verlag: Springer, 2010

Inhaltsangabe

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.

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Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
9048144817
ISBN 13 
9789048144815
Einband
Tapa blanda
Anzahl der Seiten
264
Herausgeber
Albeverio Sergio, Luxemburg Wilhelm A.J., Wolff Manfred P.H.
Kontakt zum Hersteller
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Weitere beliebte Ausgaben desselben Titels

9780792331919: Advances in Analysis, Probability and Mathematical Physics: Contributions of Nonstandard Analysis: 314 (Mathematics and Its Applications)

Vorgestellte Ausgabe

ISBN 10:  0792331915 ISBN 13:  9780792331919
Verlag: Springer, 1994
Hardcover