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黎曼的几何思想及其对相对论的影响
Riemann’s Idea of Geometry and its Impact on the Theory of Relativity
【摘要】 黎曼的几何思想来源于数学、物理和哲学三方面工作。黎曼对空间创新性的认识是相对论的理论基础,源于黎曼的张量分析为其奠定了技术基础,关于空间和物质相结合的思想也从哲学角度预示了相对论。爱因斯坦强调数学逻辑对物理的重要性,认识到了数学和物理的经验性。
【Abstract】 The idea of Riemann for Geometry originated from three subjects-mathematics,physics and philosophy.Riemann’s creative idea of space and the tensor analysis were the theoretical foundation and the technical foundation of the theory of relativity,respectively.Furthermore,the combination of space and material implied the theory of relativity.Einstein emphasized the importance of the mathematical logic for physics,and realized the experience of the mathematical and physical knowledge.
【基金】 国家自然科学基金项目(10671053)
- 【文献出处】 科学技术与辩证法 ,Science Technology and Dialectics , 编辑部邮箱 ,2009年03期
- 【分类号】O186.12
- 【被引频次】6
- 【下载频次】793