TY  - JOUR
AU  - Jwahir-H-Gdal, 
PY  - 2021
TI  - Nonstandard Analysis for Some Convergence Sequences Theories Via a Transfer Principle
JF  - American Journal of Applied Sciences
VL  - 18
IS  - 1
DO  - 10.3844/ajassp.2021.33.50
UR  - https://thescipub.com/abstract/ajassp.2021.33.50
AB  - The purpose of this article to introduce nonstandard models for a familiar types of convergent sequences theories through a transfer principle. The nonstandard analysis principle discuss, that any statements on areal system can be extended to a similar structure over larger hyperreal system therefore the results that hold true on the original system, remains true in a hyperreal system if and only if its ∗-transform is true. We apply such technique to transfer a classical proof for real sequences theorems, therefore we obtain an equivalents nonstandard proof   on hyperreal system which is often clear, shorter and uncoblicated.