| 辩证法在微积分中的体现 |
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| 引用本文： | 李魏红.辩证法在微积分中的体现[J].华中师范大学研究生学报,2011(1). |
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| 作者姓名： | 李魏红 |
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| 作者单位： | 北京航空航天大学人文社会科学学院; |
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| 摘 要： | 辩证法是科学的世界观和方法论,微积分中则充满了辩证法,体现了辩证法对立统一规律、质量互变规律、否定之否定规律。在微积分的创立和发展中、微积分的基本概念中和微积分的基本思想中,蕴含了丰富的辩证法。了解微积分这一数学工具对于加深理解辩证法思想有现实的帮助,本文试图探析辩证法在微积分中的体现,以期达到更深理解辩证法的目的。
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| 关 键 词： | 辩证法 微积分 运动观 极限 对立统一 |
Dialectics in Calculus |
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| LI Wei-hong.Dialectics in Calculus[J].Huazhong Normal University Journal of Postgraduates,2011(1). |
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| Authors: | LI Wei-hong |
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| Institution: | LI Wei-hong (College of Humanity and Social Sciences,Beijing University of Aeronautics and Astronautics,Beijing SY1011205,China) |
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| Abstract: | Dialectics is a scientific world outlook and methodology. Some laws of dialectics, such as the unity of opposites, the mutual change of quality and quantity, the negation of negation, are fully embodied in calculus. There is a rich dialectics in the establishment and development, the basic concept, and the basic thoughts of calculus. Understanding calculus, a branch of higher mathematics, deepens the understanding of dialectics thoughts. This paper probed into the embodiment of dialectics in calculus, in or... |
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| Keywords: | dialectics calculus view of motion limitation the unity of opposites |
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