阿拉伯数学代数量定义演化初探  

A Study About the Evolution of Algebraic Quantity Definition in Arabic Mathematics

作　　者：郭园园[1] 

机构地区：[1]上海交通大学科学史与科学文化研究院,上海200240

出　　处：《科学技术哲学研究》2013年第5期89-93,共5页Studies in Philosophy of Science and Technology

基　　金：教育部人文社会科学研究规划基金项目(12YJAZH037)

摘　　要：代数量定义是阿拉伯代数学产生和发展的基础,不同时期代数量定义的演化研究对于剖析阿拉伯代数学的发展脉络至关重要。由于语言和史料的原因,至今鲜有此方面的研究。笔者基于具有代表性的花拉子米、寇斯塔·伊本·鲁伽、凯拉吉、萨马瓦尔和阿尔·卡西代数学著作中相关内容的解读,对阿拉伯代数量定义的演化进程进行初步研究,得出不同时期的阿拉伯代数量定义本质上具有前后相承的关系,具体词汇运用和语义表述的不同表现其不断进化的特点。The definitions of algebraic quantities are the basis for the emergence and development of the Arabic algebra.The research on its evolution in different periods plays an important part in revealing the origin and the transition of Arabic algebra.Till now there seldom have been systematical researches on this issue due to the obstacle of language and the lack of historical materials.Based on the interpretation of the related contents in al-Khwārizmī,Qusta ibn Luqa,al-Karajī,al-Samaw＇al and al-Kāshī＇s algebraic works,I make a preliminary study about the evolution of the definitions of algebraic quantities.The conclusion is that the essenctial relationship among them is transitional.The differences in the use of vocabulary and semantic representation reveal its evolving characteristics.

关 键 词：阿拉伯数学 代数量定义 算术化代数 

分 类 号：N09[自然科学总论—科学技术哲学]