“复数”和数量之间的乘法问题

IF 0.5 3区哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE

Historia Mathematica Pub Date : 2022-05-01 DOI:10.1016/j.hm.2020.07.001

Débora Ferreira , Gert Schubring

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引用次数: 0

摘要

本文分析了算术基础中一个迄今为止鲜为人知的概念问题。一种未知类型的数，即所谓的复数，最早出现在18世纪的法国，并与乘法的不可交换性的主张联系在一起。这些第一批法国从业者在这里进行了分析，并考察了引入公制十进制系统的影响。然后分析了这一概念的国际传播情况，特别是巴西的情况。最后，本文考察了乘法(物理量)的数学基础。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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“Complex numbers” and the problem of multiplication between quantities

This paper presents an analysis of a hitherto barely known conceptual problem in the foundations of arithmetic. An unknown type of number, so-called complex numbers, first emerged in 18th century France and became connected with the claim of non-commutativity of their multiplication. These first French practitioners are here analysed, along with examination of the impact of the introduction of the metric decimal system. International dissemination of the notion is then analysed, in particular in the case of Brazil. The paper concludes by looking at the mathematical foundations of multiplying (physical) quantities.

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来源期刊

Historia Mathematica 数学-科学史与科学哲学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

72 days

期刊介绍： Historia Mathematica publishes historical scholarship on mathematics and its development in all cultures and time periods. In particular, the journal encourages informed studies on mathematicians and their work in historical context, on the histories of institutions and organizations supportive of the mathematical endeavor, on historiographical topics in the history of mathematics, and on the interrelations between mathematical ideas, science, and the broader culture.