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Advances in Analysis, Probability and Mathematical Physics - Contributions of Nonstandard Analysis (Paperback, Softcover reprint of hardcover 1st ed. 1995)
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Advances in Analysis, Probability and Mathematical Physics - Contributions of Nonstandard Analysis (Paperback, Softcover reprint of hardcover 1st ed. 1995)
Series: Mathematics and Its Applications, 314
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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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