The Research On Zhang Dunren And His Mathematics Works Arithmetic For One

Zhang Dunren was a well-known mathematician in the Qing Dynasty,whose famous works“Arithmetic for One” is an important traditional Chinese mathematics study on the congruence form after Qin Jiushao in the Song Dynasty.At present,the study on the character,Zhang Dunren,is relatively mature,including his life,growth experience,historical background and other aspects.Zhang Dunren has satisfied the readers in a true and vivid manner.However,before many things have not been fully covered such as its main contents,its gaining and losing from the book “Arithmetic for One” and its position and influence in the history of mathematics in China.Zhang Dunren’s “Arithmetic for One Thing” itself based on Qin Jiushao’s “Chinese remainder theorem”,giving a new presentation in the way of the number domain,number theory,calculus process,and flexible application.This paper’s research on the book “Arithmetic for One” has abandoned the previous simple analysis that was limited to the listing of the main content of the book and related question types.Instead,a new analysis and problem-solving perspective were given on this basis.As a result,the research contents are more diversified,in-depth and three-dimensional.This paper adopts the method of comparative analysis to explain profound theories in the relatively simple language and constantly seek new innovation points and breakthroughs in the different ways.Introduction,mainly including the origin of the topic,the proposal of the question and the practical significance.Chapter 1: The study on the life and historical background of Zhang Dunren,an official in the middle of the Qing Dynasty,who is a mathematician writer,etc.,is mainly analyzed in.several aspects,including Zhang Dunren’s life;the Analysis on the special historical period of Zhang Dunren;Zhang Dunren’s main mathematical achievements(mainly for the study of the two books ”Preparation of the Prescriptions” and “Ji Gu Suan Jing Xi Cao”);Others’ evaluation of Zhang Dunren;Zhang Dunren’s social relations and Zhang Dun Ren’s academic journey.Chapter 2: Analyzing and studying the past,present and future of the Zhang Dunren’s famous mathematics works“Arithmetic for One” Mainly from four aspects of study.including.the study of Chinese remainder theorem;the study of mathematics and number theory contained in Chinese remainder theorem;the research on the main content of the book “ Arithmetic for One ” and other deep-thinking and analysis of the book “ Arithmetic for One ”,etc.;Chapter 3: In-depth analysis on “seeking a total technique”and“ Chinese remainder theorem ”mainly relates.to the calculation of the multiplication rate,the problem of congruence and the year of the Shangyuan product;Chapter 4: Zhang Dunren compares Chinese remainder theorem with major contemporary figures.It mainly focuses on the two aspects of “seeking a certain number” and "seeking a multiplication rate” to be.compared with Shiyuechun,Luo Tengfeng and Huang Zongxian.Chapter 5: Yu Lun.It mainly includes the influence of Confucianism on “ Arithmetic for One ” and the influence of “ Arithmetic for One ”on today.Basing on the above analysis and research,this paper makes an in-depth analysis on.Zhang Dunren and his works“Arithmetic for One” in the vertical and horizontal directions,and strives to make people have a new idea and objective evaluation of it.The solution of the remainder is simplified,corrected and popularized,which is more conducive to understanding and popularization.