| 极限思想的演变及其应用 |
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| 引用本文： | 郑承民.极限思想的演变及其应用[J].新疆师范大学学报(自然科学版),2011,30(4):89-94. |
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| 作者姓名： | 郑承民 |
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| 作者单位： | 新疆师范大学数学科学学院,新疆乌鲁木齐,830054 |
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| 摘 要： | 文章举例分析在形成极限概念的过程中逐渐蕴育的数学思想。在数学史上,对无穷小量的认识推动了极限概念的形成,且得出结论:定义函数极限值与定义同一变化过程中的无穷小量互为等价关系,进而论述微积分运算建立在极限运算的基础之上。
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| 关 键 词： | 无穷小量 极限 柯西 魏尔斯特拉斯 |
Concept of Limit and Its Evolution |
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| ZHENG Cheng-min.Concept of Limit and Its Evolution[J].Journal of Xinjiang Normal University(Natural Sciences Edition),2011,30(4):89-94. |
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| Authors: | ZHENG Cheng-min |
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| Institution: | ZHENG Cheng-min (School of Mathematical Sciences Xinjiang Normal University,Urumqi Xinjiang,830054,China) |
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| Abstract: | This paper give examples to analyze the mathematical thoughts from the process of forming the concept of limit. In the history of mathematics, understanding of infinitesimal promotes forming the concept of limit. And it concludes that defining function limit is equivalent to defining infinitesimal in the same change process. And then calculus is based on limits operation. |
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| Keywords: | Infinitesimal Limit Cauchy Weierstrass |
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