The outstanding achievements of 92 problems (about 5th century AD) are the calculation of the greatest common divisor and the least common multiple, the solution of various arithmetic progression problems and the solution of some indefinite equation problems.
Since Zhang Qiujian, Chinese mathematicians have been deeply studying the hundred chickens problem, which has almost become synonymous with indefinite equations. From the Song Dynasty to the Qing Dynasty, the mathematical research on hundred chickens has achieved good results.
2. Encounter with Siyuan: Encounter with Siyuan is the masterpiece of Zhu Shijie, an outstanding mathematician in Yuan Dynasty, and its achievement is regarded as the peak of the development of computer system in China.
It is a brilliant mathematical masterpiece and highly praised by researchers in the history of modern mathematics. It is considered as the most important mathematical work of China and one of the most outstanding mathematical works in the Middle Ages.
However, the fly in the ointment is that some important problems, such as the elimination method for solving high-order simultaneous equations, are too brief in Siyuan Yujian, and the detailed calculation process is not listed for the solution of each problem in the book, so it is abstruse and difficult to understand.
So that since Zhu Shijie, China's highly developed situation in mathematics has not maintained development, but many achievements were almost lost in the Ming and Qing Dynasties.
3. Shu Shu Jiu Chapters: Shu Shu Jiu Chapters is the inheritance and development of the nine chapters of arithmetic, which summarizes the main achievements of traditional mathematics in China in the Song and Yuan Dynasties and marks the peak of ancient mathematics in China.
When it was a manuscript, it was successively included in Yongle Dadian and Sikuquanshu.
1842 was first printed and widely circulated among the people in China.
Shu Shu Jiu Zhang, formerly known as Shu Shu Outline or Mathematics Outline (9 volumes), is divided into 9 categories, each of which is a volume.
In the Yuan Dynasty, it was renamed Nine Chapters of Mathematics, and its content was changed from 9 volumes to 18 volumes.
The codex of the early Ming Dynasty was included in Yongle Dadian (1408), and another codex was kept in Wenyuan Museum.
Scholars in Ming Dynasty called it Nine Chapters when copying, and Zhao Zailin, a scholar in late Ming Dynasty, used this name when copying.
The form of codex spread to the Qing Dynasty, and was revised by Li Rui in 178 1 year, and then included in Sikuquanshu.
4. Nine Chapters of Arithmetic: Nine Chapters of Arithmetic defines the framework of China's ancient mathematics, which is characterized by taking calculation as the center, closely linking with practice and aiming at solving mathematical problems in people's production and life.
The book is very rich in content and summarizes the mathematical achievements in the Warring States, Qin and Han Dynasties.
At the same time, Nine Chapters Arithmetic has its unique achievements in mathematics. It not only mentioned the problem of score at the earliest, but also recorded the problem of surplus and deficiency at the earliest. Zhang Equation also expounded the negative number and its addition and subtraction algorithm for the first time in the history of world mathematics.
It is a comprehensive historical work and the most concise and effective applied mathematics in the world at that time. Its appearance marks the formation of a complete system of ancient mathematics in China.
5. Sunzi's Calculations of Classics: Sunzi's Calculations of Classics is an important mathematical work in ancient China.
This book was written about four or five hundred years ago, that is, about 1500 years ago. The author's life and writing year are unknown.
Sun Tzu's Art of War was handed down in three volumes.
The system of vertical and horizontal alternation and multiplication and division are described in the volume, and the algorithm for calculating scores and the method for calculating Kaiping are illustrated with examples.
Volume 3 1 is the ancestor of the problem of "chickens and rabbits in the same cage" in later generations, and later spread to Japan, becoming "crane turtle calculation"
Baidu Encyclopedia-Zhang Qiujian suan Jing
Baidu encyclopedia-Siyuan meet
Baidu Encyclopedia-Nine Chapters of Mathematics