Advances in Analysis, Probability and Mathematical Physics: Contributions of Nonstandard Analysis by Sergio Albeverio
Advances in Analysis, Probability and Mathematical Physics: Contributions of Nonstandard Analysis (Mathematics and Its Applications) by Sergio Albeverio
English | 1995 | ISBN: 9048144817 | 254 Pages | PDF | 5 MB
English | 1995 | ISBN: 9048144817 | 254 Pages | PDF | 5 MB
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.