| 中国与印度传统算法的比较--以《丽罗娃底》中的等比数列求和与开方为例 |
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| 引用本文： | 张建伟. 中国与印度传统算法的比较--以《丽罗娃底》中的等比数列求和与开方为例[J]. 广西民族大学学报, 2004, 10(4): 32-36 |
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| 作者姓名： | 张建伟 |
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| 作者单位： | 天津师范大学,数学科学学院,天津,300074 |
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| 基金项目： | 吴文俊数学与天文丝路基金资助项目(WSF2003). |
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| 摘 要： | 中国和印度的传统数学都是算法化的,实用性较强.以12世纪印度著名数学著作<丽罗娃底>中的等比数列求和与开方为例,与中国传统数学中的相应算法进行比较,以展现中、印数学的算法化特色.
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| 关 键 词： | 中国数学 印度数学 等比数列求和 开方 算法化 |
| 文章编号： | 1007-0311(2004)04-0032-05 |
| 修稿时间： | 2004-10-10 |
A Comparison Between Chinese and Hindu Traditional Algorithm--On the Sum of Geometric Progression and the Rule for Extraction Root in L(-i)l(-a)vat(-i) |
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| ZHANG Jian-wei. A Comparison Between Chinese and Hindu Traditional Algorithm--On the Sum of Geometric Progression and the Rule for Extraction Root in L(-i)l(-a)vat(-i)[J]. Journal of Guangxi University For Nationalities, 2004, 10(4): 32-36 |
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| Authors: | ZHANG Jian-wei |
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| Abstract: | Both Chinese and Hindu traditional mathematics are algorithmic methods (algorithmization), and have strong practicality. This paper shows the methods of finding the sum of the Geometric Progression for the first n terms and the rule for extracting square (cube) root in Llvat , which is a famous mathematical work in the 12~(th) century Hindu, and compare them with the corresponding traditional Chinese algorithmic methods, in order to show the characteristics of mathematics in the two countries. |
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| Keywords: | Chinese mathematics Hindu mathematics Sum of the Geometric Progression Rule for extracting root algorithmization |
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