微分学中的数学美

The Beauty of Mathematics in Differential Calculus

数学美是一种理性的美,它从数与形的角度对自然界中客观事物的秩序与规律给予揭示与反映,是人的本质力量通过思维结构的呈现;以微分学的知识内容为载体,深入分析和挖掘微分学中的数学美因素,将数学的统一美、对称美、简洁美、奇异美及和谐美等内容进一步分析,引导学生发现和捕捉数学美,欣赏数学美、体验数学美。

Mathematics has a kind of rational beauty in that it reveals and reflects the order and law of the objects in nature through numbers and figures, and it is a presentation of the essence of human power through thinking structure. This paper analyzes the beauty elements in differential calculus, namely the unity, symmetry, simplicity, singularity, and harmony of mathematics, the purpose of which is to help students to discover, appreciate, and experience the beauty of mathematics.