论藏族历算中的数学思想  

Discussion about the mathematical thoughtin the field of Tibetan calendar calculation

作　　者：夏吾才让[1] Xiawu-Cairang(School of Mathematics arid Computer Science,Northwest Minzu University,Lanzhou 730030,China)

机构地区：[1]西北民族大学数学与计算机科学学院,甘肃兰州730030

出　　处：《高原科学研究》2018年第3期111-115,共5页Plateau Science Research

基　　金：国家社会科学基金项目(12BMZ011)

摘　　要：数学思想在藏族文化中无处不在,特别是作为藏族"小五明"文化之一的历算学中蕴含着丰富的现代数学思想和方法。文章通过分析藏历纪年法和我国农历干支纪年法之间的关系,指出藏历纪年法与现代数学的关系,又通过分析藏历中3种不同的五曜推算法,即太阳日推算法、太阴日推算法和宫日推算法,指出了藏族天文历算领域中数理运算的科学观点、定位和特色,以及其中呈现的现代数学的逻辑思维、基本思想、推算性质和应用方法等。Mathematical thoughts exist everywhere in Tibetan culture, especially in Tibetan calendar （astrological） calculation, which is regarded as one of Tibetan ＂small five ruing＂ cultures, contains rich modern mathematical thoughts and methods. Through analyzing the relationship between Tibetan calendar calculation and Chinese lunar Ganzhi method, the relationship between the Tibetan calendar calculation method and the numbers in modern mathematics was revealed in this paper. And then through analyzing three different five-pronged algorithms, namely solar day algorithm, Lunar day algorithm, and Gongri algorithm, the scientific viewpoint and characteristics of mathematical operations in the Tibetan astronomical calendar field were shown, as well as the logical thinking, basic ideas, the nature of calculation, and application method of modern mathematics presented therein.

关 键 词：藏族历算 现代数学 藏历纪年 五曜 

分 类 号：P194[天文地球—天文学]