庞加莱以及庞加莱猜想

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翻新时间：2023-03-31

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庞加莱以及庞加莱猜想

摘要: 本文首先介绍了109世纪法国数学家庞加莱的生平，接着对＂庞加莱猜想＂的背景及解决过程进行了较为详细的介绍.最后从数学家们在整个庞加莱猜想的证明过程中所做出的努力说明了从事科学研究所必须具备的学术素养和精神品质.

关键词：庞加莱；庞加莱猜想；庞加莱猜想证明过程的人文意义.

Poincaré and Poincaré Conjecture

Abstact : This paper introduces the 19th-century French mathematician Poincarés whole life, and then the background of the " Poincaré Conjecture" and the process of settling are also interpretted in details. Lastly, from the efforts that mathematicians made in proving the Poincaré Conjecture,suggest the importance of the academic qualities and mental quality in scientific research.

Keywords : Poincaré; the Poincaré Conjecture; humanistic significance of proving the Poincaré Conjecture.

中英文摘要……………………………………………………………………1

1引言……………………………………………………………………………2

2庞加莱其人…………………………………………………………………3

2.1 生平……………………………………………………………………3

2.2 多产的数学天才………………………………………………………4

2.3 科学探险者……………………………………………………………6

3 庞加莱猜想…………………………………………………………………6

3.1 什么是『庞加莱猜想』? ……………………………………………6

3.2 百年证明之路…………………………………………………………8

3.3 看见曙光--「Racci Flow瑞奇流」……………………………………10

3.4 突破瓶颈 ……………………………………………………………11