A Study On Mathematical Works By Pan Yingqi

Pan Yingqi was born in Guangzhou City,Guangdong Province in 1866,and died in 1926.He taught mathematics in Guangdong Shixue Guan and Guangya Shuyuan and so on.His representative works in Mathematics were Suanshu Jiashuo which consists of eleven volumes,Foshan Shuyuan Suankecao which consists of eleven volumes and Jihe Zhuishuo which consists of six volumes.These three books were the mathematics textbooks.This dissertation mainly analyzes and interprets Suanshu Jiashuo,Foshan Shuyuan Suankecao and Jihe Zhuishuo.It will explore the spread of the western mathematics in China at the Late Qing,being divided into four parts.First,the essay organizes the social and the mathematics educational background by collecting historical data.Based on predecessors' research,the dissertation collected some historical data to investigate and discuss Pan Yingqi's life activities.He met many difficulties,but he insisted on teaching and studying mathematics.He was famous in mathematics.Second,this paper analyzes and interprets Suanshu Jiashuo,and it discusses the advantages and disadvantages of the methods included in Suanshu Jiashuo.Third,this paper analyzes and interprets Foshan Shuyuan Suankecao.And based on different methods from different writers,this paper summarizes the spread of the western mathematics.Fourth,this paper analyzes and interprets Jihe Zhuishuo,we can see that Pan Yingqi used the algebra and the arithmetic to explain Euclid's Elements Books I-VI,so the essay will compare Jihe Zhuishuo with Euclid's Elements Books I-VI.At last,and summarizes the spread of the western mathematics by the content of the Jihe Zhuishuo and the Foshan Shuyuan Suankecao.