感觉是一个数学高手修炼到很高的境界之后返璞归真
作者通过通俗的语言来一步步引入一些很复杂的概念,让人明白是怎么一步步来的。。。由其关于维度那一块的讲述,太赞了,简要记录如下:
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同一维度中,直线和曲线是完全等同的,没有差别,差别主要来自于他们嵌入的高维空间的方式不同, space they are embedded. The difference between two curves can be detected by two-dimensional creatures living in the plane.
What curved means is that one space has been stuck inside another in such a way that its intrinsic metric disagrees with that of the larger outside space.
如a constant motion on circle ---------- helix (螺旋线)
人类一生如果看做是在三维空间中的运动,那么在四维空间中观察的话就是一条静止的曲线。
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“”
同一维度中,直线和曲线是完全等同的,没有差别,差别主要来自于他们嵌入的高维空间的方式不同, space they are embedded. The difference between two curves can be detected by two-dimensional creatures living in the plane.
What curved means is that one space has been stuck inside another in such a way that its intrinsic metric disagrees with that of the larger outside space.
如a constant motion on circle ---------- helix (螺旋线)
人类一生如果看做是在三维空间中的运动,那么在四维空间中观察的话就是一条静止的曲线。
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有关键情节透露