Work

Hyper-Real and Infinitesimal Analysis

Year: 2025

Type: article

Abstract: Something about non-standard analysis is bothersome.Namely the deletion of epsilons when they were such a valuable tool.In this work we build on nonstandard analysis and generalize the dual numbers.This gives rise to a nontrivial example of a super space by generalizing the dual numbers.

Source: International Journal of Pure and Applied Mathematics Research

DOI: 10.51483/ijpamr.5.1.2025.35-44

Author: Drew Remmenga

Language: English

Topic: Mathematical and Theoretical Analysis

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4411354050

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