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Item Details
Title: ADVANCES IN ANALYSIS, PROBABILITY AND MATHEMATICAL PHYSICS
CONTRIBUTIONS OF NONSTANDARD ANALYSIS
By: Sergio Albeverio (Editor), W. A. J. Luxemburg (Editor), Manfred P. H. Wolff (Editor)
Format: Hardback

List price: £71.00


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 0792331915
ISBN 13: 9780792331919
Publisher: SPRINGER
Pub. date: 30 November, 1994
Edition: 1995 ed.
Series: Mathematics and Its Applications 314
Pages: 252
Description: 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 work looks at the various directions in which nonstandard analysis is advancing.
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.
Illustrations: X, 252 p.
Publication: Netherlands
Imprint: Springer
Returns: Returnable
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