神岛对祗园神社问题的解决:一个现代的解释

IF 0.5 3区哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE

Historia Mathematica Pub Date : 2022-11-01 DOI:10.1016/j.hm.2022.06.001

Hidetoshi Fukagawa , David Clark

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引用次数: 0

摘要

这个几何问题在1749年被张贴在一个学堂上后，在日本数学家中引起了极大的关注。一些学者提出了解决方案，其中最著名的是1774年的Ajima Naonobu。在这里，我们提出了Ajima的著名解决方案，以及对他的分析的现代解释，其中特别采用了通过协因式展开的行列式计算。这篇文章在很大程度上包含了对Ajima的解决方案的现代日语的翻译。还提供了一些历史背景。

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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Ajima's solution to the Gion shrine problem: A modern interpretation

This geometry problem rose to great prominence among Japan's mathematicians after it was posted on a sangaku in 1749. Several scholars presented solutions, most famously Ajima Naonobu in 1774. Here we present Ajima's celebrated solution, along with a modern interpretation of his analysis, which notably employs the computation of a determinant via cofactor expansion. This article consists, in large part, of a translation of a modern Japanese language reconstruction of Ajima's solution. Some historical context is also provided.

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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.