调和级数发散性的几种证明 |
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引用本文: | 王志兰,管训贵.调和级数发散性的几种证明[J].青海师专学报,2008,28(5). |
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作者姓名: | 王志兰 管训贵 |
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作者单位: | 泰州师范高等专科学校数理系,江苏泰州225300 |
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摘 要: | 调和级数是级数理论中一种比较重要的发散级数,现行《数学分析》教材中,有关它的发散性证明学生在学习中不易掌握,本文从不同的角度介绍几种其他的证明方法,以加深学生对它的理解和认识。
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关 键 词: | 调和级数 发散性 应用 |
The Severl Proofs and Applications on the Divergence of the Harmonic Progression |
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Abstract: | The harmonic progression is more important divergent series in the theory of series.It is difficult for students to grasp proofs of thedivergence in mathematical analysis.This paper introduces several proofs methods with application from various angles in order to be apprehended easily by students. |
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Keywords: | harmonic progression divergence application |
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