| 积分变量变换公式的类比和应用 |
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| 引用本文： | 张文丽,陈丽珍,靳佳润.积分变量变换公式的类比和应用[J].数学学习,2020(3):53-56. |
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| 作者姓名： | 张文丽 陈丽珍 靳佳润 |
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| 作者单位： | 长治学院数学系;山西财经大学应用数学学院 |
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| 基金项目： | 长治学院校级优秀课程(数学分析)。 |
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| 摘 要： | 利用类比思想,通过对定积分和二重积分的变量变换公式进行比较、分析、联想,然后推出n重积分的变量变换公式,有助于简单快速地理解和掌握不同维数的积分变量变换公式.举例说明如何借助极坐标变换来构造一类重积分计算的有效变换.
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| 关 键 词： | 类比思想 变量变换 重积分 极坐标变换 |
Analogy and Application of Integral Transformation Formula |
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| ZHANG Wenli,CHEN Lizhen,JIN Jiarun.Analogy and Application of Integral Transformation Formula[J].Studies In College Mathematics,2020(3):53-56. |
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| Authors: | ZHANG Wenli CHEN Lizhen JIN Jiarun |
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| Institution: | (Changzhi University, Department of Mathematics, Changzhi, Shanxi, 046011, PRC;Shanxi University of Finance and Economics, School of Applied Mathematics, Taiyuan, Shanxi, 030006, PRC) |
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| Abstract: | Comparing similarities of the variable transformation formulas for definite integral and double integral,with inspiration and analysis,the variable transformation formula for n multiple integral is derived.It helps an easy and quick understanding and mastering the variable transformation formula of integrations in different dimensions.Examples are given to illustrate the use of polar coordinates to construct a typical transformation in calculating a class of double integrals. |
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| Keywords: | analogy variable transformation double integral polar coordinates |
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