[過去ﾛｸﾞ] 現代数学の系譜11 ガロア理論を読む13 [転載禁止]©2ch.net (654ﾚｽ)
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413(1): 現代数学の系譜11 ガロア理論を読む 2015/05/16(土)12:43 ID:3tqJtzYJ(13/22) AAS
>>410 補足

「Galois for 21st-Century Readers Harold M. Edwards」より

In this paper, I have tried to explain the First Memoir to modern readers, going through it proposition by proposition.
The most important proposition, and the one I most emphasize, is Proposition 2, the one about which Galois wrote in the margin,
“There is something to be completed in this proof. I do not have the time”
(the sections “Proposition 2” and “Proposed Revision of Proposition 2” below).
My interpretation suggests how Galois might have stated and proved it given a little more time.
省5

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418(3): 現代数学の系譜11 ガロア理論を読む 2015/05/16(土)15:17 ID:3tqJtzYJ(17/22) AAS
>>413 つづき

「Galois for 21st-Century Readers Harold M. Edwards」より

Again, Study the Masters
The introduction to my 1974 book Riemann’s Zeta Function was an exhortation to “Read the classics!”
A few years later I discovered Niels Henrik Abel’s remark that “It appears to me that if one wants to make progress in mathematics one should study the masters and not the pupils,” which then became my constant refrain.
Abel’s contrast of “masters” to “pupils” is an important addition to the message.
“Read the classics” doesn’t just mean read good texts; it means read the texts that gave birth to the subjects or gave them their most vivid statements?those written by the “masters”?not the ones written by later “pupils”,
省5

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