格子乗法の日本への影響 (数学史の研究)

Abstract

The lattice multiplication (格子乗算) was probably discovered in the Western Asia or Southern Asia, then it was introduced to the East and West. In Japan, two types lattice multiplication were arrived at the Edo period. Chen Wen (陳雯) introduced the lattice multiplication system and Napier’s bones from Western mathematical arts, and he used ‘Suzhou Numerals’. But Japanese mathematicians at the Edo period already studied the Lattice Multiplication system of ‘Xie Suan’ (or ‘Pudijin’, 写算, 鋪地錦) and Suzhou Numerals (蘇州号瑪) by Chinese mathematical arts at the Ming dynasty (明朝) such as the Suanfa Tongzong (算法統宗), (Cheng Dawei (程大位), 1592) before Western mathematics arrived into China. Japanese medical doctors had never studied Chinese mathematical arts at the Ming dynasty. Therefore, there were two types of mathematics in that time, that is to say, ‘Jikata’ Wasan (rich farmers’ mathematics) and ‘Komozan’ (Western Mathematics, 地方紅毛算和算期).