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《Mathematics in Practice and Theory》 2007-01
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Proving Theorems in Real Number Field by Means of Continual Induction

XU Yong-chun, GUAN Jin-yu, LI Bo, MEI Rui(Department of Mathematics,Hebei North University,Zhangjiakou Hebei 075028,China)  
This article is to introduce continual induction and to prove Cauchy Convergence Principle by means of it,then to prove Monotone Convergence Theorem by using a new form of Continual Induction,which is put forward and proven in this article.
【Fund】: 国家自然科学基金(10571008)
【CateGory Index】: O171
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