| Lebesgue积分的产生和意义 |
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| 引用本文： | 施培成. Lebesgue积分的产生和意义[J]. 高等数学研究, 2011, 0(6): 54-57 |
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| 作者姓名： | 施培成 |
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| 作者单位： | 郑州华信学院基础教学部,河南郑州451100 |
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| 摘 要： | 论述Lebesgue积分产生的背景和思想形成过程,重点介绍直观、想象、类比、猜测等思维形式在Lebesgue积分产生过程中所发挥的作用．
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| 关 键 词： | Riemann积分 Lebesgue积分 测度 可测函数 |
Creation of Lebesgue Integrals and its Significance |
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| SHI Pei-cheng. Creation of Lebesgue Integrals and its Significance[J]. Studies In College Mathematics, 2011, 0(6): 54-57 |
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| Authors: | SHI Pei-cheng |
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| Affiliation: | SHI Pei-cheng (Department of Mathematics, Huaxin College, Zhengzhou 451100, PRC) |
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| Abstract: | In this paper, we review briefly the background of the birth of Lebesgue integration and the process of its development. We focus typically on the roles of intuition, imagination, analogies, thought forms, and anticipations played in the process. |
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| Keywords: | Riemann integral Lebesgue integral measure measurable function |
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