Western influence and Chinese tradition in an eighteenth century Chinese mathematical work
type: Item
instance of: scholarly article
title: Western influence and Chinese tradition in an eighteenth century Chinese mathematical work
zbMATH Open document ID: 0668.01002
DOI: 10.1016/0315-0860(88)90024-9
author: Catherine Jami
published in: Historia Mathematica
publication date: 1988-01-01T00:00:00Z
review text: At the beginning of the 18th century, Pierre Jartoux introduced into China the expansion of three power series connected with the sine function, but did not provide the proof. Following this, the Chinese mathematician, Ming Antu, wrote in his book, \textit{Ge Yuan Mi Lü Jie Fa}, the statement and proof of the three formulae and added six other formulae in power series. Ming Antu's proof was different from that developed in the West; it was based on his background of Chinese mathematics. The author of this paper uses this example to discuss an aspect of the assimilation of Western mathematical knowledge in Chinese mathematical works of the 18th century.
Mathematics Subject Classification ID: 01A25
Mathematics Subject Classification ID: 51-03
zbMATH DE Number: 4093385
zbMATH Keywords: Euclid's \textit{Elements}
zbMATH Keywords: algorithms
zbMATH Keywords: power series
zbMATH Keywords: trigonometric functions
zbMATH Keywords: algebraic language
Wikidata QID: Q115927623
reviewed by: Lay-Yong Lam
MaRDI profile type: Publication
full work available at URL: 0315-0860(88)90024-9
OpenAlex ID: W2081456892
cites work: Une histoire chinoise du ``nombre \(\pi\)''. (A Chinese history of the ``number \(\pi\)'')
cites work: The Geometrical Basis of the Ancient Chinese Square-Root Method
cites work: Q4041486
cites work: Q3755388
cites work: Q3912764
cites work: Q3280103
cites work: Q4101769
cites work: Q4135801
description: scientific article; zbMATH DE number 4093385