基于开方算法的中国古代方程分类研究  

The Study of Classification of Equations Based on the"Kaifangshu"(Extraction of a Root)

作　　者：周畅 季青梅 段耀勇 ZHOU Chang;JI Qingmei;DUAN Yaoyong(College of Science,Xi'an University of Posts&Telecommunications,Xi'an,Shaanxi,710121;Basic Curriculum Department,Special Police College of China,Beijing,10221l;School of Intelligent Policing,China People's Police University,Langfang,Heibei,065000)

机构地区：[1]西安邮电大学理学院,陕西西安710121 [2]武警特警学院基础部,北京102211 [3]中国人民警察大学智慧警务学院,河北廊坊065000

出　　处：《自然辩证法通讯》2024年第12期69-77,共9页Journal of Dialectics of Nature

基　　金：国家自然科学基金“中国、日本以及西方的消元方法的比较研究”(项目编号:11701446);河北省教改项目“基于OBE理念和几何化的线性代数教学改革实践与研究”(项目编号:023GJJG478)。

摘　　要：开方术是中国传统数学中发展较为完善和成熟的内容之一,是一种解决一元高次方程实数根的有效方法。中国的开方法中有文化语境下的“实、方、廉、隅”等具象术语。同时,伴随算法的逐步发展和完善,相应地具有文化背景的方程分类也随之产生,开始分为开方与带从开方,其中带从开方的分类问题伴随其历史进程和开方算法的发展也逐渐成为中国算学中具有丰富内涵的主题之一。Extraction method is one of the most advanced and mature content in Chinese traditional mathematical algorithm,first seen in"Nine Chapters".And it was developed into two methods of"Zengchengkaifang"and"Lichengshisuo",an effective method to solve the equations with one unknown only for one positive solution,sometimes approximate root,after the Song and Yuan dynasties."Kaifangshu"has concrete terms such as"Shi,Fang,Lian and Yv",in Chinese cultural context.At the same time,with the gradual development and improvement of the algorithm of extraction,the corresponding equation classification with cultural background also comes into being and is divided into"Kaifang"and"Daizongkaifang",in which the latteris also gradually called a problem with rich connotation in Chinese mathematics.

关 键 词：开方术 方程分类 可知 文化张力 

分 类 号：O119[理学—数学] O122.2[理学—基础数学]