首页|浅谈对高等数学中微元及其辩证思想的一点认识

浅谈对高等数学中微元及其辩证思想的一点认识

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通过对微元和外微分理论的进一步挖掘,浅谈对微元在高等数学中的地位和作用的再认识,并简述微元所蕴含的若干辩证思想,在课程思政理念下,进一步探索高等数学课程思政与教学内容的 自然融合,也为教师的相关教学提供参考.
A Preliminary Exploration on the Differential Element and Dialectical Thought in Advanced Mathematics
This paper delves deeper into the theory of infinitesimals and exterior differentiation,offering a reassessment of the function and role of infinitesimals in advanced mathematics.It briefly outlines several dialectical ideas contained in infinitesimals,and further explores the natural integration of the curriculum ideology and politic in advanced mathematics with the teaching content,which also provides a reference for related teaching practices.

advanced mathematicsinfinitesimalsexterior integral of infinitesimalsexterior differentiationcurriculum ideology and politicdialectical idea

王晓莉、宁荣健

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合肥工业大学数学学院,合肥 230601

高等数学 微元 微分的外积 外微分 课程思政 辩证思想

2024

大学数学
教育部数学与统计学教学指导委员会,高等教育出版社,合肥工业大学

大学数学

影响因子:0.304
ISSN:1672-1454
年,卷(期):2024.40(6)