Chapter 9 Arithmetic Profit and Loss Balance Algorithm

Chapter 9 arithmetic input algorithm is as follows:

Chapter 1 and Chapter 9 Arithmetic

Nine chapters on arithmetic, a math book. The most important of the ten classic books on computing. The author is unknown. In the early years of the Western Han Dynasty, mathematicians such as Zhang Cang and Geng Shouchang added or deleted it, and Liu Hui annotated it as a general edition in The Three Kingdoms Cao Wei. The book is divided into 9 chapters and 246 examples. It includes nine chapters, such as Tian Fang, Su, Decline, Shao Guang, Shang Gong, Both Loss and Profit, Equation and Pythagoras, and systematically summarizes China's mathematical achievements from pre-Qin to Eastern Han Dynasty.

Among them, negative numbers, fractional calculation and simultaneous linear equations are all mathematical achievements of world significance. The above achievements are 800 years earlier than India and more than 0/000 years earlier than Europe. This book was introduced to Korea and Japan during the Sui and Tang Dynasties and was designated as a textbook. Now it has been translated into English, Japanese, Russian and other languages. The National Library has Nine Chapters of Arithmetic handed down from generation to generation in the Southern Song Dynasty.

Chapters 2 and 9 all lost their arithmetic.

Both lose, Chinese. Pinyin is jūnshū, which refers to a financial measure in the Western Han Dynasty in China. Prepared from mulberry red sun. The original intention is to work hard and lose; One of Wang Anshi's new laws in the Northern Song Dynasty; One of the heavy taxes in the late Ming Dynasty; Ancient warehouse name; An ancient algorithm.

The compilation time and process of the early text of Nine Chapters Arithmetic have been controversial in past dynasties. So far, the most clear and pertinent statement comes from the original preface of Liu Hui's Notes on Nine Chapters of Arithmetic: In the past, I began to draw eight diagrams at the expense of God, in order to understand God's virtue, and to use the love of all things as a skill to adapt to the changes of six hexagrams.

According to: Duke Zhou made a gift and there were nine numbers, and the flow of nine numbers was made into nine chapters. In the past, books were burned violently in Qin dynasty, and the methods were scattered and rotten. Since then, Zhang Cang, Hou Peiping in Han Dynasty, Zhong Cheng and Geng Shouchang, a senior farmer, have all used good fortune telling. Cang et al. are called deletion and supplement because of the remnants of old texts. Therefore, the purpose of collating is different from ancient times or different from others, and most of the commentators are modern times.

Third, the impact

Nine Chapters Arithmetic is the earliest book in the world that systematically describes fractional operation. Among them, the residual algorithm is an amazing creation; The chapter of Equation also expounds negative numbers and their addition and subtraction algorithms for the first time in the history of mathematics in the world. In algebra, the concept of negative number and the law of addition and subtraction of positive and negative numbers were first put forward in the history of world mathematics by Nine Chapters of Arithmetic.

The solution of linear equations taught in middle school is basically the same as that introduced in "Nine Chapters of Arithmetic". Paying attention to practical application is a remarkable feature of nine chapters arithmetic. Some knowledge of the book has also spread to India and Arabia, and even to Europe through these areas.