| 古代中日印球体积计算方法的比较研究 |
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| 引用本文： | 张必胜.古代中日印球体积计算方法的比较研究[J].高师理科学刊,2010,30(4):12-14. |
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| 作者姓名： | 张必胜 |
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| 作者单位： | 西北大学,数学与科学史研究中心,陕西,西安,710127 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 球体积的计算在微积分创立之前,是一个十分困难的问题,然而,在古代中国、印度和日本等地都先后导出了正确的球体积计算公式.对这些地区发现和证明球体积公式的方法、思想和途径进行比较分析,为深刻理解不同文明或地区的数学传统,揭示数学在不同地区之间的交流与传播的途径和线索提供参考.
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| 关 键 词： | 球体积 计算方法 中国 日本 印度 |
The comparative study on calculation methods for the ball volume in ancient China,Japan and Idian |
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| ZHANG Bi-sheng.The comparative study on calculation methods for the ball volume in ancient China,Japan and Idian[J].Journal of Science of Teachers＇College and University,2010,30(4):12-14. |
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| Authors: | ZHANG Bi-sheng |
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| Institution: | ZHANG Bi-sheng(Research Centre of History of Mathematics and Science,Northwest University,Xi＇an 710127,China) |
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| Abstract: | Calculation of the size of the ball at the creation of calculus before,is a very difficult problem,however,in ancient China,India and Japan,the correct formula for calculating the size of the ball have been derived.Compared and analyzed the methods of finding and proving the sphere volume formula in these areas,it provides some information and clues for deeply understanding of the mathematical tradition different cultures and regions,reveals the exchange and dissemination of the mathematics in different regions. |
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| Keywords: | ball volume calculation method China Japan India |
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