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.
关键词
高等数学/微元/微分的外积/外微分/课程思政/辩证思想
Key words
advanced mathematics/infinitesimals/exterior integral of infinitesimals/exterior differentiation/curriculum ideology and politic/dialectical idea
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