试论《杨辉算法》与南宋经济领域中的几个计量数学问题
发布时间：2018-10-24 17:00
【摘要】：从经济史的角度重新解读《杨辉算法》,我们会发现南宋在许多经济领域都用到了计量数学,像各种形状的山田丈量方法、日常商业活动中的秤衡与斤两制度等。由于南宋地方政府与民间在较长时期内始终没有形成统一的秤衡与斤两制度,因而给南宋商业经济的发展造成了一定负面影响,而杨辉通过算题这种特殊媒介,以灵活多样的方式讨论了正斛法和零两求分定数等问题,从而对南宋计量数学的发展产生了积极影响。作为计量数学发展演变的重要阶段,南宋正好处于由筹算向珠算转变的历史时期,杨辉不遗余力地推广乘除捷法,以不断适应计量数学发展的客观需要。《杨辉算法》中的捷法运算对于现代基础数学与实用数学的发展仍具有一定参考价值。
[Abstract]:Rereading Yang Hui's algorithm from the angle of economic history, we will find that the Southern Song Dynasty used econometric mathematics in many fields of economy, such as the measurement method of Yamada in various shapes, the system of weighing and weighing in daily commercial activities, and so on. In the Southern Song Dynasty, the local government and the folk did not form a unified balance and catty system for a long time, which caused a certain negative impact on the development of the commercial economy of the Southern Song Dynasty, and Yang Hui adopted the special medium of calculating problems. In this paper, the positive Dendrobium method and the zero dichotomy method are discussed in a flexible and varied way, which has a positive influence on the development of the Southern Song Dynasty econometric mathematics. As an important stage in the development and evolution of econometric mathematics, the Southern Song Dynasty was in the historical period of transition from calculation to abacus. Yang Hui spared no effort to popularize the method of multiplication and division. In order to constantly meet the objective needs of the development of metrology, the agile operation in Yang Hui algorithm still has certain reference value for the development of modern basic mathematics and practical mathematics.
【作者单位】： 河北大学宋史研究中心;
【分类号】：O112;F224
本文编号：2291990
[Abstract]:Rereading Yang Hui's algorithm from the angle of economic history, we will find that the Southern Song Dynasty used econometric mathematics in many fields of economy, such as the measurement method of Yamada in various shapes, the system of weighing and weighing in daily commercial activities, and so on. In the Southern Song Dynasty, the local government and the folk did not form a unified balance and catty system for a long time, which caused a certain negative impact on the development of the commercial economy of the Southern Song Dynasty, and Yang Hui adopted the special medium of calculating problems. In this paper, the positive Dendrobium method and the zero dichotomy method are discussed in a flexible and varied way, which has a positive influence on the development of the Southern Song Dynasty econometric mathematics. As an important stage in the development and evolution of econometric mathematics, the Southern Song Dynasty was in the historical period of transition from calculation to abacus. Yang Hui spared no effort to popularize the method of multiplication and division. In order to constantly meet the objective needs of the development of metrology, the agile operation in Yang Hui algorithm still has certain reference value for the development of modern basic mathematics and practical mathematics.
【作者单位】： 河北大学宋史研究中心;
【分类号】：O112;F224
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