庖丁解牛数学方法

Math Online Tom Circle

“庖丁解牛”数学方法
庄子讲庖丁(butcher)解牛有三个功夫階段:
1st Level: 看见一只全牛 (Whole Cow)

2nd Level: 三年后,不见全牛,只见牛的生理结構(Anatomy) :骨骼,肌肉,筋腱。

3rd Level: 不以目视而是神视,"与桑林之舞合拍,与经首之会同律。"达到了”物我”两忘的境界。Intuition.

数学的方法也如此。

1st Level: Whole Math (Primary school to High School)

2nd Level: Component Structure – (Undergraduate Math):
Macro- structure (Algebra : Group, Ring, Field, Vector Space… );
Micro-structure (Analysis : Calculus, Topology, etc)

3rd Level: 无处不数 Ubiquitous Math – (Graduate Math)
eg. Fermat’s Last Theorem used all Math theories available today to prove.

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About tomcircle

Math amateur
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