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2^(1/2)的历程

The Course of 2^(1/2)
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摘要 2^(1/2)的存在与不可公度量的发现是数学史上的一件大事.2^(1/2)无理性的证明引起了许多数学家的兴趣并给出 了多种证明方法.通过对2^(1/2)的有理近似值的探讨,发现了2^(1/2)的许多其他表示形式. The existence of 2^(1/2) and the discovery of the incommensurable magnitude are. important events in the history of mathematics. The proof of the irrationality of 2^(1/2) has interested many mathematicians and been given in many ways. Various forms of 2^(1/2) have been found by calculating the approximate value of 2^(1/2) .
作者 桂德怀
出处 《湖州师范学院学报》 2002年第6期85-87,共3页 Journal of Huzhou University
关键词 不可公度 无理数 连分数 数学史 incommensurability, irrational number, continued - fraction
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参考文献5

  • 1Phillip S Jones.Irrationals orIncommensurables Ⅰ: Their Discovery,and a"Logical Scandal"[M] . TheMathematics Teacher, 1956,123 ~ 127; Irrationals or Incommnsurables Ⅱ: TheirIrrationality of√2and Approximations to It[ M]. The Mathematics Teacher,1956,187 ~191; Irrationals or IncommensurablesⅢ: The Greek Solution[ M]. The Mathematics Teacher,1956,282 ~ 285; Irrationals or Incommensurables V: Their Admission to the Realm ofNumbers[M]. The Mathematics Teacher, 1956,541 ~ 543.
  • 2Kurt Von Frits. The Discovery of Incommensurability by Hippasus of Metapontum[J].Annals of Mathematics 1945,46(2) :242 ~ 264.
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  • 5Historical Topic for the Mathematics Classroom. Washington, D. C. National Councilof Teachers of Mathematics, 1969,70 ~ 72.

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