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《Studies in College Mathematics》 2012-06
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Teaching Research on Riemann Integrability

XUE Yumei,YANG Xiaoyuan(School of Mathematics and System Sciences,BeiHang University,Beijing 100191,PRC)  
In most textbooks,theory of Darboux upper and lower sums does not tell us explicitly when a given function is Riemann integrable.To assist a better understanding of Riemann integrability,we first introduce the concept of measure zero sets,followed by the description of Lebesgue theorem.W e then use this theorem to characterize Riemann integrable functions.
【Fund】: 北京市精品课程建设研究项目;; 北京航空航天大学重点教改项目
【CateGory Index】: O172.2-4
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