YBC 7289上2的估计值是如何计算的

IF 0.5 3区哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE

Historia Mathematica Pub Date : 2023-02-01 DOI:10.1016/j.hm.2022.08.002

David Buckle

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引用次数: 1

摘要

目前尚不清楚巴比伦石碑YBC 7289上所刻的2的近似值是如何计算的。在这篇文章中，我展示了如何使用一个众所周知的正则数作为巴比伦估计平方根方法的输入来直接计算它。我的目标是证明巴比伦数学已经充分发展，可以很容易地推导出近似值，从而提出一种可能用于计算它的方法。

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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How the estimate of 2 on YBC 7289 may have been calculated

It remains unknown how the approximation of $\sqrt{2}$ scribed on Babylonian tablet YBC 7289 was calculated. In this article I show how it can be straightforwardly computed using a well-known regular number as the input for the Babylonian method of estimating square roots. My objective is to demonstrate that Babylonian mathematics was sufficiently evolved for the approximation to be easily derived and thus propose an approach that may have been used to calculate it.

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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.