A Comparison Study of Non-Standard Analysis and Non-Archimedean Ultrametric Theory

Anuja Ray Chaudhuri
2016 INTERNATIONAL JOURNAL OF EMERGING TRENDS IN SCIENCE AND TECHNOLOGY  
Infinitesimal elements are mainly considered in non-standard analysis. Recently a new scale free analysis has been developed using the concept of relative infinitesimals, scale free infinitesimals and their corresponding non-archimedean absolute value. With this valuation the real number system R has been extended to an infinite dimensional non-archimedean system R accommodating infinitely small and large numbers. In this paper we present a comparison study of non-standard analysis and
more » ... alysis and non-archimedean ultrametric theory.
doi:10.18535/ijetst/v3i02.18 fatcat:bdtwzzkzwzb27axnr3drtvca5u