| 费马大定理巧妙证明 |
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| 引用本文： | 杨宝泉,杨兴.费马大定理巧妙证明[J].沈阳航空工业学院学报,2008,25(3). |
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| 作者姓名： | 杨宝泉 杨兴 |
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| 作者单位： | 1. 沈阳有色金属加工厂,辽宁,沈阳,110102
2. 大连西太平洋石油化工有限公司,辽宁,大连,116600 |
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| 摘 要： | 费马大定理是费马发现巧妙证法之后提出来的。通过从特殊到一般的巧妙证法,用二项式定理等初等数学方法巧妙地证明了此定理。即:不定方程xn yn=zn(n>2)(本文的各种字母没有特别指出时,都表示是正整数),当x=10a时,z不等正整数。由此得出"1加正有理数n次方和的n次方根是无理数。"的引理。用此引理和集合包含关系巧妙地证明了此定理。
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| 关 键 词： | 数论 正整数 费马定理 |
Operation of fermat's last theorem |
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| YANG Bao-quan YANG Xing.Operation of fermat''s last theorem[J].Journal of Shenyang Institute of Aeronautical Engineering,2008,25(3). |
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| Authors: | YANG Bao-quan YANG Xing |
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| Institution: | YANG Bao-quan1 YANG Xing2 |
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| Abstract: | Pierre de Fermat first mentioned this world-known theorem.It will be perfect if we find out the clever operation.This study managed to work out the ingenious operation from the specific to general methods by using elementary mathematics knowledge.The equation xn yn=zn(n>2)(The letters are all positive integer except especially mentioned) was proven by quadratic equation.when x=10a,z does not equal positive integer.From this,we can get the conclusion "1 adds the rational number n power of exponent and n root is the irrational number".So we get the very method in this way. |
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| Keywords: | number theory positive integer Operation of Fermat's last Theorem |
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