| 张量分析的历史演进 |
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| 引用本文： | 黄勇,魏屹东. 张量分析的历史演进[J]. 太原理工大学学报(社会科学版), 2008, 26(1): 55-59 |
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| 作者姓名： | 黄勇 魏屹东 |
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| 作者单位： | 1. 山西大学,科学技术哲学研究中心,山西,太原,030006
2. 山西大学,哲学社会学学院,山西,太原,030006 |
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| 摘 要： | 张量分析是现代数学物理学的基础工具。从广义相对论开始，到规范场论，以至后来的弦理论，这些理论的建立都是因为有了张量分析。张量分析所提供的对曲线坐标系的微分方法，真正实现了非欧几何从概念到演算的革命，而所有这一切都是以张量概念的产生为基础的。文章试图描绘出张量分析的历史发展。
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| 关 键 词： | 张量 线性变换 协变微分 绝对微分 |
| 文章编号： | 1009-5837(2008)01-0055-05 |
| 修稿时间： | 2008-01-08 |
Historical development of tensor analysis |
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| HUANG Yong,WEI Yi-dong. Historical development of tensor analysis[J]. Journal of Taiyuan University of Technology(Social Sciences Edition), 2008, 26(1): 55-59 |
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| Authors: | HUANG Yong WEI Yi-dong |
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| Affiliation: | HUANG Yong ,WEI Yi-dong (1. Research Center for Philosophy of Science and Technology; 2. Academy of Philosophy and Sociology ;Shanxi University , Taiyuan Shanxi 030006 ,China) |
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| Abstract: | Tensor analysis is a basic method for the modern maths and physics. Since the beginning of general relativity to gauge theory as well as superstring theory, all of them are founded on tensor analysis. On the basis of the concept of tensor ,tensor analysis offers differential coefficient method for curvilinear system of coordinates, which makes a revolution for Non-Euclidean geometry from concept to figure actually. Herein, this paper puts emphasis on the forming and development of tensor analysis. |
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| Keywords: | linear transformations covariant differentiation absolute differentiation tensor analysis |
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