| 关于积分概念认识的统一性 |
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| 引用本文： | 左云,应六英.关于积分概念认识的统一性[J].江西电力职业技术学院学报,2005,18(1):41-43. |
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| 作者姓名： | 左云 应六英 |
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| 作者单位： | 江西电力职业技术学院,江西,南昌,330032 |
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| 摘 要： | 针对积分认识的特点,将重积分、曲线积分和曲面积分的认识统一到一元函数的定积分,归纳为定义在上的“点函数”(P)的统一积分形式:lim∑(Pi)△Vi=(P)dV。对积分定义、性质、计算和应用等方面的统一性作了系统的论述,给出了应用上较方便的积分微元法定义,并运用实例对积分认识的统一性进行佐证。
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| 关 键 词： | 积分 认识 定义 计算 应用和统一性 |
| 文章编号： | 1673-0097(2005)01-0041-(03) |
| 修稿时间： | 2004年8月22日 |
Unity of Understanding the Integral of Concept |
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| ZUO Yun,YING Liu-ying.Unity of Understanding the Integral of Concept[J].Journal of Jiangxi Vocational and Technical College of Electricity,2005,18(1):41-43. |
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| Authors: | ZUO Yun YING Liu-ying |
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| Abstract: | For the characteristics of the epistemic of integral,unify repeated integral,curvilinear integral and cambered integral to the definite integral of function of a variable and sum up them to a uniform integral form lim ∑(Pi)△Vi=∫Ω(P)dV,which is defined in Ωas a point function,and gave systemic dissertation to the unity definition of integral,characteristics,calculation,application etc.give definition to a comparatively convenient integral infinitesimal method of application and give examples to the assistant certification to the unity of the epistemic of integral. |
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| Keywords: | integral epistemic definition calculation application unity |
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