对某些分析著作中错误安排的广义曲面积分习题的纠正——与有关作者商榷

The Correction of the Error Existing on Surface Integral Exercises in Some Mathematical Analysis Articles

在已出版的国内外20多部数学分析著作中都存在同一类错误,即把某些广义第二型曲面积分习题误当成通常意义下的第二型曲面积分的问题来处理,造成概念上和计算上的错误。望出版者和原编著者能及时更正,并提请读者遇到这类习题时要小心谨慎。文中剖析了出现错误的原因,指出了改正的途径,以期尽可能快地消除错题的影响。

It is pointed out that there is a kind of error existing in more than 20 articles or books on mathematical analysis,published both at home and abroad,i,e.,dealing with the exercises of the second type of surface integral in its broad sense as that in its common sense, which has made an error in conception and calculation.The author hopes that the problem be soon corrected by the publishers and editors of those articles and asks that readers be careful when they meet this kind of exercises.The reason of causing the error and the way of cor- recting it in order to alimitate the error is presented.