Introduction to Semi-discrete Calculus
Discrete Mathematics
2022-06-02 v8 Classical Analysis and ODEs
Abstract
The Infinitesimal Calculus explores mainly two measurements: the instantaneous rates of change and the accumulation of quantities. This work shows that scientists, engineers, mathematicians, and teachers increasingly apply another change measurements tool: functions' local trends. While it seems to be a special case of the rate (via the derivative sign), this work proposes a separate and favorable mathematical framework for the trend, called Semi-discrete Calculus.
Keywords
Cite
@article{arxiv.1012.5751,
title = {Introduction to Semi-discrete Calculus},
author = {Amir Shachar},
journal= {arXiv preprint arXiv:1012.5751},
year = {2022}
}