Yang Hui's Mathematical Achievements
Yang Hui wrote many works related to mathematical theory in the Southern Song Dynasty. Among them, he wrote nine chapters of algorithm, daily use of algorithm, change of multiplication and division to the end of the book, and multiplication and division by domain. Yang Hui summed up the algorithm theory according to the needs of daily operation to help people calculate their own needs. It is worth mentioning that Yang Hui is the first person in the world to arrange vertical and horizontal charts. He summed up the theoretical knowledge that constitutes rules and promoted the process of world arithmetic, which has high practical significance. In Yang Hui's life, handicrafts and commerce have made great progress. When promoting social economy, both businessmen and ordinary people need to use mathematical calculation. The social demand for arithmetic caught Yang Hui's attention.
In fact, mathematicians summed up the daily calculation methods in the embryonic period of capital economy. Some practical calculation books appeared in the late Tang Dynasty. By the Southern Song Dynasty, books like Xiahou Yang's Calculation Classics had been lost. Later, Yang Hui of the Southern Song Dynasty summed up a simpler and more convenient algorithm on the basis of previous algorithms. Therefore, when people mention Yang Hui's contribution to mathematics, they will also think of his improvement on multiplication and division to make the calculation more convenient and simple. It not only improves the operation speed, but also improves the accuracy.
Yang Hui's contribution
While summing up the achievements of predecessors' algebra, Yang Hui made great efforts to innovate and develop mathematical technology, which promoted the progress of mathematics in China. In the Northern Song Dynasty, an algorithm called incremental method appeared. After understanding the law, Yang Hui further improved the operation and application scope of the incremental method. Yang Hui believes that although the incremental method avoids trial trading to a certain extent.
Yang Hui's Mathematical Achievements
However, with the increase of dividends, the amount of calculation will not only increase, but also the accuracy is not high. In the book "Multiplication, Division, Transformation and Calculation of Treasures", Yang Hui summarized simple calculation rules, such as "the number of returns is 10" and "the number of returns is added from top to bottom", which is convenient for ordinary people to calculate.
Secondly, while improving arithmetic calculation, Yang Hui put forward some practical formulas. Based on the convenience of formulas, abacus technology came into being. So objectively speaking, Yang Hui promoted the arithmetic process and indirectly derived the product of abacus calculation.
Third, Yang Hui has a deeper understanding of vertical and horizontal graphics. In his book "The Continuation of Ancient Sorting Algorithms", he put forward the research records and algorithms of vertical and horizontal graphs. This book, the continuation of the ancient sorting algorithm, has also become the first book in the world to conduct theoretical research on vertical and horizontal graphics. The vertical and horizontal picture is Yang Huiqi's name. Before Yang Hui, people called it the Rubik's Cube. Zheng Xuan, a mathematician in Han Dynasty, introduced the magic of magic square in his two books Yi Wei Zhu and Shu Shu Ji Jie. Therefore, the Rubik's Cube is endowed with mysterious colors. Yang Hui created a variety of graphics in the year of "Continuation of Ancient Algorithms", including four-order vertical and horizontal graphics, hundred-child graphics, more than eight graphics, more than nine graphics and so on.
In addition, Yang Hui's greatest contribution is the research on stacking technology. Stacking is similar to arithmetic series. Unlike arithmetic progression, Superposition aims to study advanced arithmetic progression. Later, Yang Hui also summed up arithmetic progression's summation formula. Yang Hui's research results have greatly enriched the theory in the field of mathematics.
The story of Yang Huide
When Yang Hui was an official in Taizhou, he once looked at the beautiful spring scenery outside the window and planned to travel to Taizhou. It is a wonderful thing to observe people's feelings and appreciate the beautiful spring scenery. Sitting in the sedan chair, Yang Hui was glad to see the revival of all things in nature. He lifted the curtain of the sedan chair and enjoyed the spring scenery along the way, when the sedan chair stopped.
Re-evaluate
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Later, Yang Hui got off the bus, came to the little boy, touched his head and asked him what he was doing. The little boy replied that this is the arithmetic set by the teacher and must be worked out before class in the afternoon. If your horse passes by here, it will ruin my calculation. Yang Hui saw that it was Nine palace map, so Yang Hui squatted on the ground and counted with the little boy. It was past noon when the two men filled in nine squares. No matter how much the vertical and horizontal increase, the result is 15. The little boy thanked Yang Hui for his help and invited Yang Hui to his home for dinner.
When the little boy came home, his parents gave the reason. Because the family is poor, parents have no extra money for the little boy to attend classes. While herding cattle, the little boy secretly went to a private school to attend classes. Every day after coming home, he tries to recall what he heard today. Hearing this, Yang Hui gave the little boy's parents 12 silver to let the little boy go to a private school. In the afternoon, when Yang Hui took the little boy to a private school, the teacher and Yang Hui talked about math problems. After Yang Hui returned to China, he often made mathematical calculations and summed up Nine palace map's law: "Nine sons are arranged obliquely, changing up and down, approaching left and right, and four dimensions are prominent".