## Introduction

This volume discusses the development of mathematics in China from the middle of the Qing Dynasty to the end of the Qing Dynasty. It was about 130 years from the opening of the library in the 37th year of Qianlong to compile "Si Ku Quan Shu" to the end of the Qing Dynasty mathematics education system in the early 20th century.

The development of Chinese mathematics in this issue can be roughly divided into two stages. Among them, the translation and publication (1859) of the eighteenth volume of "Daiweijishiji" can be broken. In the previous stage, the compilation and research of "Shujing Tenshu" and Song and Yuan mathematics masterpieces laid the foundation for the revival of traditional Chinese mathematics. Then there appeared outstanding mathematicians and representatives such as Jiao Xun, Wang Lai, and Li Rui. Its outstanding achievements in traditional Chinese mathematics. On the other hand, this stage inherited the knowledge of logarithm calculation and logarithm table construction, and the power series expansion of trigonometric functions introduced to China during the Kangxi era, and conducted in-depth and systematic research. Outstanding mathematicians represented by Mingda, Dai Xu and Li Shanlan and their outstanding works in the field of modern mathematics. In the latter stage, Li Shanlan and Wei Lie Yali translated the eighteen volumes of "Daiweiji Shiji", and Hua Hengfang and Fu Lanya translated the ten volumes of "Jing Dou Mathematics" (1880), etc., showing the comparative system of Western modern mathematics knowledge. Introduced into China.

## Table of Contents

Foreword to Volume Eight

The Arrangement and Research of the First Part of Traditional Mathematics

Chapter One of Traditional Mathematics Organizing

The first section of "Si Ku Quan Shu" collected mathematics works

Section two Dai Zhen and "Sumulating Classics Ten Books"

Section three Li Huang The proofreading work of et al.

Section 4 The collation of Song and Yuan mathematics works

Section 5 The proofreading work of Shen Qinpei and others

Section 6 " "Chou Ren Biography" and its sequel

Chapter Two: Research Work of Jiao Xun, Wang Lai, and Li Rui

Section One Jiao Xun and His "Addition, Subtraction, Multiplication, Division and Explanation"< /p>

The second section of Wang Lai and his "Hengzhai Mathematical Studies"

The third section of Li Rui and his "Presentation Theory"

The fourth section of Bo Qi and His "Comparison of Three Things in Pythagorean Content"

Section 5: The work of Kong Guangsen, Zhang Dunren, and Luo Tengfeng

Study on the expansion of the second series of power series

Chapter One The Research Work of Dong Hucheng, Xiang Mingda, and Dai Xu

The first section of Dong Chucheng and his "Illustration of Cutting Circles and Proportions"

Second section Xiangmingda and his "Xiangshuyiyuan"

Section 3 Dai Xu and his "Seek Appearance Quick Skills"

Chapter Two: Research Work by Li Shanlan and others< /p>

The first section of Li Shanlan and his "Zeguxi Zhai Mathematical Studies"

The second section of Xu Youren and his "Cut Circle Eight Lines"

The third section Yi Sightseeing, Zou Boqi’s work

Part III The Successors of Western Modern Mathematics

Chapter One Li Shanlan’s Translation Work

The first section of the translation work overview

Introduction to the second section of "Daily Microproducts and Ten Levels"

Chapter Two Hua Hengfang's Translation Work

Section One Translation Work Overview

Section 2 Introduction to "Mathematics of Judgment"

Section 3 Introduction to Other Translations

Chapter 3 The Influence of Modern Western Advanced Mathematics in China

First Section on the influence of modern western advanced mathematics in China

Section 2 the establishment of modern Chinese mathematics symbols and mathematical terminology system

Section 3 the influence of the late Qing Chinese translation of mathematics on Japanese modern mathematics Influence

Part IV: Mathematics Research and Mathematics Education in the Late Qing Dynasty

Chapter One Research Work by Xia Luanxiang and others

The first section Xia Luanxiang and his "Xia Shi "Suicide Note"

The second section of Ding Quzhong and "Baifutang Mathematical Series"

The third section of Shiyuechun and "Hundred Chickens Shuyan"

The fourth section of Huang Zongxian and his "Qiuyishu General Explanation"

The fifth section "The Method of Examining the Number of Roots" and "Several Roots of Grass"

The sixth section of Hua Yafang and his " "Xing Suxuan Manuscript"

Section VII of the vertical and horizontal graphs and inlaid symbols

Chapter Two Mathematics Education and Dissemination

The first section describes the mathematics education in the late Qing Dynasty

Section two "Tongwenguan Mathematical Skills"

Section Three Liu Yicheng And "Simple Nunnery Manuscript"

Section 4 Chen Zhijian and his "Qiuyi Dezhai Mathematics"

Section 5 Zhou Da and his "Fuhui Shuangxiuguan Manuscript"< /p>

Section 6 Mathematics Publications

Section 7 Compilation of Mathematics Series

Classification documents of research works in the late Qing Dynasty

Postscript