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《Mathematics in Practice and Theory》 2013-01
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Comparison and Analysis on Several New Ways of the Differential and the Integral Definitions

LI Hong-ling (1.School of Mathematical Science,Capital Normal University,Beijing 100048,China) (2.Department of Teacher Education,Suqian College,Suqian 223800,China)  
The classic definitions of the differential and integral are complex and lack of intuitive link.These new definitions given by Professor Xiang Wuyi,Academician Zhang Jingzhong and Academician Lin Qun are elaborated in detail.The introduction of the concepts, the link between the differential and the integral,the application effect of the concepts and the connotation of the fundamental theorem of calculus are compared and analyzed.The study on various ways of elaborating calculus is helpful to advance and improve the teaching reform.
【CateGory Index】: O172.2
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