"대수적 함수와 아벨적분"의 두 판 사이의 차이
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+ | When I was a student, abelian functions were, as an effect of the Jacobian tradition, considered the uncontested summit of mathematics and each of us was ambitious to make progress in this field. And now? The younger generation hardly knows abelian functions.<br> How did this happen? In mathematics, as in other sciences, the same processes can be observed again and again. First, new questions arise, for internal or external reasons, and draw researchers away from the old questions. And the old questions, just because they have been worked on so much, need ever more comprehensive study for their mastery. This is unpleasant, and so one is glad to turn to problems that have been less developed and therefore require less foreknowledge - even if it is only a matter of axiomatics, or set theory, or some such thing.<br> Felix Klein (1849-1925), Development of Mathematics in the 19th Century, 1928 | ||
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+ | <h5>간단한 소개</h5> | ||
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+ | [http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&eq=e%5Ex%20e%5Ey%3D%20e%5E%7Bx%2By%7D ] | ||
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+ | [http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&eq=%5Csin%20%5Cleft%28x%2By%5Cright%29%3D%5Csin%20x%20%5Ccos%20y%20%2B%20%5Ccos%20x%20%5Csin%20y%5C ] | ||
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+ | [http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&eq=%5Ctan%28%5Ctheta_1%2B%5Ctheta_2%29%3D%5Cfrac%7B%5Ctan%5Ctheta_1%2B%5Ctan%5Ctheta_2%7D%7B1-%5Ctan%5Ctheta_1%5Ctan%5Ctheta_2%7D ] | ||
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+ | [http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&eq=%5Cln%20x%20%2B%20%5Cln%20y%3D%20%5Cln%20xy ] | ||
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+ | [http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&eq=%5Carcsin%20x%2B%5Carcsin%20y%3D%5Carcsin%20%28x%5Csqrt%7B1-y%5E2%7D%2By%5Csqrt%7B1-x%5E2%7D%29 ] | ||
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+ | [http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&eq=%5Carctan%20x%2B%5Carctan%20y%20%3D%20%5Carctan%7B%5Cfrac%7Bx%2By%7D%7B1-xy%7D%7D ] | ||
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+ | [http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&eq=%5Cint_0%5Ex%7B%5Cfrac%7B1%7D%7B%5Csqrt%7B1-x%5E2%7D%7D%7Ddx%2B%5Cint_0%5Ey%7B%5Cfrac%7B1%7D%7B%5Csqrt%7B1-x%5E2%7D%7D%7Ddx%20%3D%20%5Cint_0%5E%7Bx%5Csqrt%7B1-y%5E2%7D%2By%5Csqrt%7B1-x%5E2%7D%7D%7B%5Cfrac%7B1%7D%7B%5Csqrt%7B1-x%5E2%7D%7D%7Ddx%20 ] | ||
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+ | [http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&eq=%5Cint_%7B1%7D%5E%7Bx%7D%20%5Cfrac%7Bdx%7D%7Bx%7D%2B%5Cint_%7B1%7D%5E%7By%7D%20%5Cfrac%7Bdx%7D%7Bx%7D%20%3D%20%5Cint_%7B1%7D%5E%7Bxy%7D%20%5Cfrac%7Bdx%7D%7Bx%7D ] | ||
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+ | [http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&eq=%5Cint_0%5Ex%20%5Cfrac%7Bdx%7D%7B1%2Bx%5E2%7D%20%20%2B%20%5Cint_0%5Ey%20%5Cfrac%7Bdx%7D%7B1%2Bx%5E2%7D%20%3D%20%20%5Cint_0%5E%7B%5Cfrac%7Bx%2By%7D%7B1-xy%7D%7D%20%5Cfrac%7Bdx%7D%7B1%2Bx%5E2%7D ] | ||
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+ | <h5>관련된 학부 과목과 미리 알고 있으면 좋은 것들</h5> | ||
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+ | <h5>관련된 대학원 과목</h5> | ||
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+ | <h5>관련된 다른 주제들</h5> | ||
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+ | <h5>표준적인 도서 및 추천도서</h5> | ||
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+ | * http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords= | ||
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+ | <h5>위키링크</h5> | ||
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+ | * http://en.wikipedia.org/wiki/ | ||
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+ | <h5>참고할만한 자료</h5> |
2009년 7월 2일 (목) 18:48 판
When I was a student, abelian functions were, as an effect of the Jacobian tradition, considered the uncontested summit of mathematics and each of us was ambitious to make progress in this field. And now? The younger generation hardly knows abelian functions.
How did this happen? In mathematics, as in other sciences, the same processes can be observed again and again. First, new questions arise, for internal or external reasons, and draw researchers away from the old questions. And the old questions, just because they have been worked on so much, need ever more comprehensive study for their mastery. This is unpleasant, and so one is glad to turn to problems that have been less developed and therefore require less foreknowledge - even if it is only a matter of axiomatics, or set theory, or some such thing.
Felix Klein (1849-1925), Development of Mathematics in the 19th Century, 1928
간단한 소개
관련된 학부 과목과 미리 알고 있으면 좋은 것들
관련된 대학원 과목
관련된 다른 주제들
표준적인 도서 및 추천도서