【摘要】：從經(jīng)濟(jì)史的角度重新解讀《楊輝算法》,我們會(huì)發(fā)現(xiàn)南宋在許多經(jīng)濟(jì)領(lǐng)域都用到了計(jì)量數(shù)學(xué),像各種形狀的山田丈量方法、日常商業(yè)活動(dòng)中的秤衡與斤兩制度等。由于南宋地方政府與民間在較長(zhǎng)時(shí)期內(nèi)始終沒有形成統(tǒng)一的秤衡與斤兩制度,因而給南宋商業(yè)經(jīng)濟(jì)的發(fā)展造成了一定負(fù)面影響,而楊輝通過算題這種特殊媒介,以靈活多樣的方式討論了正斛法和零兩求分定數(shù)等問題,從而對(duì)南宋計(jì)量數(shù)學(xué)的發(fā)展產(chǎn)生了積極影響。作為計(jì)量數(shù)學(xué)發(fā)展演變的重要階段,南宋正好處于由籌算向珠算轉(zhuǎn)變的歷史時(shí)期,楊輝不遺余力地推廣乘除捷法,以不斷適應(yīng)計(jì)量數(shù)學(xué)發(fā)展的客觀需要。《楊輝算法》中的捷法運(yùn)算對(duì)于現(xiàn)代基礎(chǔ)數(shù)學(xué)與實(shí)用數(shù)學(xué)的發(fā)展仍具有一定參考價(jià)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.
【作者單位】： 河北大學(xué)宋史研究中心;
【分類號(hào)】：O112;F224

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本文編號(hào)：2291990