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The Algebraic Structure of Quantity Calculus II: Dimensional Analysis and Differential and Integral Calculus
Measurement Science Review ( IF 1.0 ) Pub Date : 2019-04-01 , DOI: 10.2478/msr-2019-0012
Álvaro P. Raposo 1
Affiliation  

Abstract In a previous paper, the author has introduced and studied a new algebraic structure which accurately describes the algebra underlying quantity calculus. The present paper is a continuation of that one, which extends the purely algebraic study by adding two more ingredients: an order structure and a topology. The goal is to give a solid justification of dimensional analysis and differential and integral calculus with quantities.

中文翻译:

数量微积分的代数结构II:量纲分析和微分积分微积分

摘要 在之前的一篇论文中,作者介绍并研究了一种新的代数结构,它准确地描述了数量微积分的代数基础。本论文是该论文的延续,它通过添加另外两个成分来扩展纯代数研究:顺序结构和拓扑。目标是为量纲分析和微分和积分微积分提供可靠的理由。
更新日期:2019-04-01
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