English

Leibniz Differential and Non-Standard Calculus

Logic 2020-03-02 v1 Functional Analysis

Abstract

Two models of integral theory based on the concept of a differential as a certain infinitesimal quantity are considered. One theory treats an infinitesimal quantity as a zero-tending sequence. The second is as an infinitesimal Hyper-real.

Keywords

Cite

@article{arxiv.2002.12451,
  title  = {Leibniz Differential and Non-Standard Calculus},
  author = {Shchepin Evgeny},
  journal= {arXiv preprint arXiv:2002.12451},
  year   = {2020}
}

Comments

The article is intended for publication in the proceedings of the conference dedicated to the Rokhlin centenary

R2 v1 2026-06-23T13:56:57.523Z