1, Zhou Kuai suan Jing
Zhou You Shu Jing, formerly known as Zhou You Shu Jing, is one of the ten classic books on calculation. China's earliest works on astronomy and mathematics, written about 1 century BC, mainly expounded the theory of covering the sky and the quarter calendar at that time. In the early Tang Dynasty, it was stipulated as one of imperial academy's teaching materials, so it was renamed Zhou Kuai. The main achievement of Zhou Kuai suan Jing in mathematics is the introduction of Pythagorean theorem.
The book "Parallel Calculation of Weeks" adopts the simplest and feasible method to determine the astronomical calendar, and reveals the operating rules of the sun, the moon and the stars, including the changes of seasons and climate, as well as the fact that the north and south poles push each other day and night. It provides a powerful guarantee for the life and rest of the latecomers. Since then, mathematicians of all ages have been innovating and developing on the basis of the Classic of Weekly Parallel Computing.
Chapter 9 Arithmetic
The author of Nine Chapters Arithmetic is no longer here. 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).
It is the first mathematical monograph in ancient China, and the most important of the ten classic works of calculation, which was formed around the first century A.D.. The book is very rich in content and summarizes the mathematical achievements in the Warring States, Qin and Han Dynasties.
3. Classical calculation of islands
Island Calculation is the earliest book on surveying mathematics written by China scholars, and it also provides a mathematical basis for cartography. This is the tenth volume of Nine Chapters Arithmetic Notes written by Liu Hui in the fourth year of Wei Jingyuan in the Three Kingdoms (AD 263), entitled "Heavy Difference".
4. Cao Wusuan
Cao Wu suan Jing is one of China's ancient mathematical works, Ten Books of Calculating Classics. It is generally believed that it was written by Zhen Luan in the Northern Zhou Dynasty. Zhen Luantong compiled Tian Lihe by using the calendar, which was promulgated in 566. "Five Cao" refers to five types of officials.
Among them, the problem collected is the calculation of various arms, and Cao collected military mathematics problems such as army distribution and material transportation. At that time, Zhang Shicheng Cao was a trade exchange issue, while Cang Cao was a grain tax and storage capacity issue, but a silk and cloth trade issue. The book * * * contains 67 questions, and the mathematical content does not exceed the content of "Nine Chapters of Arithmetic". Its Southern Song edition is collected in Peking University Library.
5. Sun Tzu calculates classics
Sunzi Suanjing 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 volume describes the system of vertical and horizontal alternation and multiplication and division, and illustrates the algorithm of calculating scores and the method of calculating Kaiping with examples.
References:
Baidu Encyclopedia-Weekly Parallel Computing
References:
Baidu Encyclopedia-Nine Chapters Arithmetic
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Baidu Encyclopedia-Classic of Island Computing
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Baidu encyclopedia-Wu Cao suan Jing
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Baidu encyclopedia-sun Tzu's art of war