| 实数系基本定理等价性的完全互证 |
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| 引用本文： | 刘利刚.实数系基本定理等价性的完全互证[J].数学的实践与认识,2008,38(24). |
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| 作者姓名： | 刘利刚 |
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| 作者单位： | 浙江大学数学系,浙江,杭州,310027 |
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| 摘 要： | 综合给出了实数系六个基本定理的等价性的完全互证方法,并归纳了各种证明方法的规律,旨在把抽象的证明转化为容易掌握的基本方法.
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| 关 键 词： | 实数系 连续性 等价 极限 |
Complete Proof for Equivalence of Fundamental Theorems of Real Number System |
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| LIU Li-gang.Complete Proof for Equivalence of Fundamental Theorems of Real Number System[J].Mathematics in Practice and Theory,2008,38(24). |
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| Authors: | LIU Li-gang |
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| Institution: | Department of Mathematics;Zhejiang University;Hangzhou 310027;China |
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| Abstract: | This paper presents complete proof of the equivalence of six fundamental theorems of real number system.The general approaches for the proof are comprehensively summarized, which makes all the abstract proof be an easy task and be easily understood. |
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| Keywords: | Stolz theorem L′Hospital rule limit difference |
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