A Study of the Korean Edition of Yang Hui Suanfa : The Woodblock Version Discovered in Kogryo University (The study of the history of mathematics 2016)

Autor: Jochi, Shigeru
Jazyk: japonština
Rok vydání: 2018
Předmět:
01A13
01A25
Yonsei University
01A27
the Yi dynasty
solving higher degree equations method of "Fanji-fa"
the Yang Hui Suanfa
Zdroj: 数理解析研究所講究録別冊. :219-228
ISSN: 1881-6193
Popis: The Yang Hui Suanfa (YHS) had a new direction of the mathematics in Eastern Asia, that is to say, speedy calculations for commercial trade, therefore it became the textbook in the Yi dynasty (1392-1910) in Korea. It was said that there were few sets of YHS in Korea, however the author found a Korean woodblock printing book at the Kogryo University in 2015. It has the same contents and mistakes as other Korean editions. We found the 8th set of YHS in the world, in the other words, the YHS was not so rear book in Korea, was quite popular for the mathematicians in Korea and Japan. Yang Hui studied higher degree equations quite deeply, he discovered that a quadratic equation has two solutions, that is to say, the new solving method of the "Fanjifa" in 1275. Although Jia Xian already discovered Jia Xian, Yang Hui and Pascal's triangle at the 11th century, but Yang Hui said it was "old" method for solving higher degree equations. Therefore I conclude that the "pre-modern age" would start from the 13th century, not the 16th century in Eastern Asia.
"The study of the history of mathematics 2016". August 29~September 1, 2016. edited by Shigeru Jochi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.
Databáze: OpenAIRE