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

 
9780792331919: Advances in Analysis, Probability and Mathematical Physics: Contributions of Nonstandard Analysis: 314 (Mathematics and Its Applications)
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ISBN 10: 0792331915 ISBN 13: 9780792331919
Editorial: Springer, 1994

Sinopsis

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.

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Editorial
Springer
Año de publicación
1994
Idioma
Inglés
ISBN 10 
0792331915
ISBN 13 
9780792331919
Encuadernación
Tapa dura
Número de páginas
264
Editor
Wolff Manfred P.H., Albeverio Sergio, Luxemburg Wilhelm A.J.
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9789048144815: Advances in Analysis, Probability and Mathematical Physics: Contributions of Nonstandard Analysis: 314 (Mathematics and Its Applications)

Edición Destacada

ISBN 10:  9048144817 ISBN 13:  9789048144815
Editorial: Springer, 2010
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