微分形式教学方法的探析

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摘要从对偶矢量入手,在剖析函数微分内在涵义的基础上,由具体至抽象地引入微分1-形式,进而通过外乘法与外微分运算,引进高阶微分形式;通过介绍微分形式的积分转换方法,自然过渡到Stokes定理;最后通过微分形式在矢量分析中的应用,将抽象的理论回归到具体工程计算.由此实现微分形式的教学过程.

作者王兴波

机构地区湖南农业大学信息科学技术学院

出处《高等数学研究》 2009年第4期89-92,共4页 Studies in College Mathematics

基金国家自然科学基金项目(50575223) 湖南农业大学引进人才基金项目(08YJ14)

关键词微分形式教学矢量分析

参考文献13

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高等数学研究

2009年第4期

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