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反例教学运用于泛函分析课程中的实践分析

Practical analysis of counter example teaching in functional analysis course

Theoretical Mathematics Study / 2020,2(1): 24-29 / 2020-05-14 2382 3820

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• Authors: 邓黎
• Information:

  南京师范大学，南京

• Keywords:
  Functional analysis; Counterexample; Teaching; Function
  泛函分析; 反例; 教学; 作用
• Abstract: The function of Counterexamples in the teaching of functional analysis is expounded. Through counter examples, students can understand concepts more deeply, master theorems and propositions systematically, and correct their mistakes in learning. The proper use of counter examples will help to improve the teaching quality of functional analysis and the cultivation of students' mathematical quality. 阐述了反例在泛函分析教学中的作用。通过反例，可以使学生更深刻 地理解概念，系统地掌握定理和命题，并纠正学生在学习中存在的错误。恰当 地利用反例进行辅助教学，将有助于泛函分析教学质量的提高和学生数学素质 的培养。
• DOI: https://doi.org/10.35534/tms.0201004c
• Cite: 邓黎．反例教学运用于泛函分析课程中的实践分析［J］．理论数学前沿，2020，2（1）：24-29．