| 极限思想的发展与微积分的建立 |
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| 引用本文： | 叶林.极限思想的发展与微积分的建立[J].内蒙古民族大学学报(自然科学版),2008,23(4):465-468. |
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| 作者姓名： | 叶林 |
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| 作者单位： | 通辽职业学院数学与计算机系,内蒙古通辽028000 |
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| 摘 要： | 极限思想的发展与微积分的建立紧密相关．在微积分的创立过程中，牛顿、莱布尼兹以无穷思想为据，成功地运用无穷小、无限过程进行运算，他们的努力和成就为极限思想的进一步发展和完善奠定了坚实的基础．而多方面的怀疑和批评，促使数学家们掀起了微积分乃至整个分析的严格化运动，进而使极限理论得到了完善．
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| 关 键 词： | 极限思想 微积分 无穷小 |
The Development of the Limit Idea and the Establishment of Calculus |
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| YE Lin.The Development of the Limit Idea and the Establishment of Calculus[J].Journal of Inner Mongolia University for the Nationalities(Natural Sciences),2008,23(4):465-468. |
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| Authors: | YE Lin |
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| Institution: | YE Lin(Department of Mathematics and Computer, Tongliao Vocational College, Tongliao 028000, China) |
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| Abstract: | The development of the limit idea related with the establishment of calculus closely. According to the infinite idea, Newton and Leibnitz succeed in using the operations of infinitesimal and infinite process in the foundation process of calculus. Their efforts and achievements settled a solid basis for the further improvement of the limit idea. However, the suspicions and critics came from some sides made mathematicians cause a severization campaign of calculus even the whole analysis, which perfected the theory of limits. |
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| Keywords: | The Limit idea Calculus Infinitesimal |
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