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portada advances in analysis, probability and mathematical physics
advances in analysis, probability and mathematical physicsadvances in analysis, probability and mathematical physics
Type
Physical Book
Publisher
Language
English
Pages
256
ISBN
0792331915
ISBN13
9780792331919
Categories

advances in analysis, probability and mathematical physics

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Synopsis "advances in analysis, probability and mathematical physics"

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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