@article {10.3844/ajassp.2021.33.50, article_type = {journal}, title = {Nonstandard Analysis for Some Convergence Sequences Theories Via a Transfer Principle}, author = {Jwahir-H-Gdal,}, volume = {18}, year = {2021}, month = {Feb}, pages = {33-50}, doi = {10.3844/ajassp.2021.33.50}, url = {https://thescipub.com/abstract/ajassp.2021.33.50}, abstract = {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.}, journal = {American Journal of Applied Sciences}, publisher = {Science Publications} }