Chapter 9 What is an arithmetic set?

Nine-chapter arithmetic stereotyped problem refers to a kind of question type in the classic book Nine-chapter Arithmetic in China.

Nine Chapters Arithmetic is a classic mathematical work compiled in the early years of the Eastern Han Dynasty.

This book is a mathematical monograph written by Zhang Cang and Geng Shouchang in ancient China. It is the most important of the ten classic calculations, which was written in the first century AD. ..

It is generally believed that it has gradually become the final version after several generations of supplement and modification. Zhang Cang and Geng Shouchang in the Western Han Dynasty had been supplemented and sorted out, and they were generally finalized at that time. The last book was in the early years of the Eastern Han Dynasty at the latest, and most of them were Notes to Nine Chapters written by Wei Yuan, Jing Yuan and Liu Hui in the Three Kingdoms Period (263).

Chapter 9 Arithmetic is based on Du Zhong Arithmetic and Xu Shang Arithmetic. It is on the basis of these arithmetic books that the mathematical achievements in the pre-Qin and early Eastern Han dynasties in China are systematically summarized, and gradually formed after being supplemented, revised and updated by famous scholars.

The creative background of Nine Chapters Arithmetic;

This book is a monograph on ancient mathematics in China, and it is the most important one among the "Ten Classical Books on Computing" (ten ancient books on computing between Han and Tang Dynasties). Liu Hui commented on "Nine Chapters Arithmetic" in Wei and Jin Dynasties, saying: "The Duke of Zhou made a ceremony, and there were nine numbers, while nine chapters were a ceremony." He also said, "Zhang Cang, Hou Peiping in Han Dynasty, and Geng Shouchang, a senior farmer, all made good use of fortune telling. Because of the remnants of old texts, Cang and others each called it deletion and supplement, so the purpose of the school is different from ancient times or today, and the theory is closer. "

According to textual research, Zhang Cang and Geng Shouchang in the Western Han Dynasty have made supplements. The final edition was written in the early Eastern Han Dynasty at the latest, but its basic content was basically finalized in the late Western Han Dynasty. As a world-famous mathematical work, Nine Chapters Arithmetic was introduced to Korea and Japan as early as the Sui and Tang Dynasties. It has been translated into Japanese, Russian, German and French.