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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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【Citations】
Chinese Journal Full-text Database 1 Hits
1 ZHANG Yu-huan (School of Mathematical Sciences,Capital Normal University,Beijing 100048,China);Interpret Calculus Arithmetic[J];Mathematics in Practice and Theory;2012-11
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Peng Shumei1,2 Wei Shuguo2 (1.Capital Normal University,Beijing 100037,China;2.Beijing Polytechnic College,Beijing 100042,China);Divergence and Application of Harmonic Series[J];Journal of Beijing Polytechnic College;2008-03
2 LI Hong-e (School of Mathematics and Computer Engineering,Xihua University,Chengdu 610039);Three Questions in Higher Mathematics[J];Journal of Chengdu Textile College;2010-03
3 BAI Jie,LIU Wei(Department of Public Mathemetics,College of Humanities and Sciences of Northeast Normal University,Changchun 130117,China);Study on the Common Calculation Methods of Function Limit and its Explanaions in Calculus Course[J];Journal of Changchun University;2012-02
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8 NIU Fu-long(Gansu Lianhe University,Lanzhou 730000,China);The Paradox of the Rotator's Area and Volume and Material Model[J];Journal of Gansu Lianhe University(Natural Science Edition);2012-01
9 TIAN De-yu~1,CHENG Zi-chang~2 (1. Luohe Vocational and Technical College, Luohe 462002, China; 2. Jiaozuo Vocational and Technical College, Jiaozuo 454000, China);On inverse function integral and its geometrical meaning[J];Henan Science;2005-03
10 LIU Dawei, HE Yuanxiang (The Science and Engineering College of Gansu Association University,Lanzhou 730000);The Differential Method Asking the System Correlation Increase and the Related Rates[J];Science Technology and Engineering;2006-21
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 ZHANG Jingzhong~(1,2,3)(1.Engineering Center for Education Information Technology, Central China Normal University,Wuhan 430079;2.Chengdu Institute for Computer Applications,Chinese Academy of Sciences,Chengdu 610041;3.Institute for Educational Software,Guangzhou University,Guangzhou 510006);Let calculus more elementary[J];Journal of Central China Normal University(Natural Sciences);2006-04
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