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  • 最美的数学定理

    1988年,Springer-Verlag主持在Mathematical Intelligencer上评选10个最美数学定理,结果如下:


    1. Euler’s identity, $e^{ipi}=-1$.

    2. Euler’s formula for a polyhedron, $V+F=E+2$.

    3. There are infinitely many prime numbers.

    4. There are only 5 regular polyhedra.

    5. The sum of the reciprocals of the squares of the positive integers is $pi^2/6$.

    6. A continuous mapping of a closed unit disk into itself has a fixed point.

    7. The square root of 2 is irrational.

    8. $pi$ is a transcendental number.

    9. Every plane map can be colored with just 4 colors.

    10. Every prime number of the form $4n+1$ is the sum of two square integers in only one way.

    转载自: http://www.math.org.cn/forum.php?mod=viewthread&tid=36509

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  • 原文地址:https://www.cnblogs.com/zhangzujin/p/5793154.html
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