| 数学归纳法的途径 |
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| 引用本文： | 麦结华,张耀勋.数学归纳法的途径[J].广西大学学报(自然科学版),1987(2). |
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| 作者姓名： | 麦结华 张耀勋 |
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| 作者单位： | 广西大学数学系，广西大学数学系 |
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| 摘 要： | 数学归纳法是数学中常常用到的一种证明方法,最常见而最为人们所熟知的归纳途径是简单的有向路。但实际上还存在着各种形状的较复杂的归纳途径。本文用图论的语言给出了一个形式上较为广泛的(虽然实际上仍然等价的)数学归纳法公理,并且给出了几个有较复杂的归纳途径的证明方法的例子。
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| 关 键 词： | 数学归纳法 等价的归纳法公理 归纳途径 有向路 有向图 |
Ways in the Mathematical Induction |
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| Mai Jiehua Zhang Yaoxun.Ways in the Mathematical Induction[J].Journal of Guangxi University(Natural Science Edition),1987(2). |
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| Authors: | Mai Jiehua Zhang Yaoxun |
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| Institution: | Mai Jiehua Zhang Yaoxun |
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| Abstract: | The mathematical induction is a method of proof often applied in mathematics. The most common and the most famous inductive way is the simple directed path. However, there are actually more complex inductive ways with various shapes. In this paper, by the language of graph theory, we gave an axiom of mathematical induction with more extensive form (although it is still equivalent in fact) , and gave some examples in which the methods of proofs have relatively complex inductive ways. |
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| Keywords: | Mathematical induction Eguivalent axioms of induction Inductive way Directed path Directed graph |
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