| "无穷"的困扰与"极限"的精确定义 |
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| 引用本文： | 段耀勇."无穷"的困扰与"极限"的精确定义[J].广西民族大学学报,2006,12(3):52-59. |
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| 作者姓名： | 段耀勇 |
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| 作者单位： | 中国人民武装警察部队学院 河北廊坊065000 |
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| 摘 要： | “无限”、“无穷”问题始终在考验和折磨着人类的智力,该问题遍及人类智力范围的所有领域.我们生活在有限的空间里,通过有限的手段和方法对无限开始不懈的追求.这个“魔鬼”无处不在,数学家们历经千年的磨砺,直到19世纪柯西和魏尔斯特拉斯给出极限的精确定义,才完成“降魔”过程,令人惊异的是它竟然有着天使一样美丽的脸庞.
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| 关 键 词： | 悖论 无穷 极限 |
| 文章编号： | 1007-0311(2006)03-0052-08 |
| 修稿时间： | 2006年2月10日 |
The Puzzling of Infinitude and Precise Definition of Limit |
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| DUAN Yao-yong.The Puzzling of Infinitude and Precise Definition of Limit[J].Journal of Guangxi University For Nationalities(Natural Science Edition),2006,12(3):52-59. |
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| Authors: | DUAN Yao-yong |
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| Abstract: | The intelligence of mankind is always tested and puzzled by the problem of infinite.The infinite named demon is everywhere in the field of human being's intellectuality,while we only possess the limited methods and tools to study it.Fortunately,we have contrived mathematics in which the definition of limit is given by great mathematicians Louis Cauchy and Weierstrass,and what surprises us is that the demon has a seraphic appearance. |
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| Keywords: | Paradox Infinitude Limit |
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