| 一道确界习题的几种证法 |
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| 引用本文： | 何忠华. 一道确界习题的几种证法[J]. 高师理科学刊, 2016, 0(6): 54-55. DOI: 10.3969/j.issn.1007-9831.2016.06.017 |
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| 作者姓名： | 何忠华 |
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| 作者单位： | 广东金融学院应用数学系,广东广州,510521 |
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| 基金项目： | 国家自然科学基金资助项目(11501130)；广东金融学院省级数学建模教学团队资助项目；广东高校省级重点平台和重大科研项目(2015GXJK102) |
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| 摘 要： | 确界是数学分析中一个非常重要的概念,确界原理作为极限理论的基石在微积分理论中占有极为重要的地位,故而确界概念的理解在数学分析学习中就显得尤为重要.但是,在练习中,学生往往不懂如何使用确界概念来解答.因此,首先给出确界的定义,然后通过一道确界习题的几种证明方法来说明确界概念的应用.
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| 关 键 词： | 数学分析 证明方法 确界概念 极限 |
Several proof methods for a supremum and infimum exercise |
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| Abstract: | Supremum and infimum are very important concept in mathematics analysis.As the foundation of the limit theory,they play a very important role in the calculus theory.Therefore,the understanding of the concept of supremum and infimum is particularly important in study mathematics analysis.However,students often do not understand how to use them to solve the problem in exercises.First of all,give the definition of supremum and infimum,and then explain the application of the concept by several kinds of proof methods for a exercise. |
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| Keywords: | mathematics analysis proof method supremum and infimum concept limit |
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