"부정적분의 초등함수 표현(Integration in finite terms)"의 두 판 사이의 차이
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* http://en.wikipedia.org/wiki/Differential_Galois_theory | * http://en.wikipedia.org/wiki/Differential_Galois_theory | ||
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<h5>참고할만한 자료</h5> | <h5>참고할만한 자료</h5> | ||
| + | * [http://www.jstor.org/stable/1995313 The Problem of Integration in Finite Terms]<br> | ||
| + | ** Robert H. Risch, <cite>[http://www.jstor.org/action/showPublication?journalCode=tranamermathsoci Transactions of the American Mathematical Society]</cite>, Vol. 139, (May, 1969), pp. 167-189 | ||
* [http://www.jstor.org/stable/2318066 Integration in Finite Terms]<br> | * [http://www.jstor.org/stable/2318066 Integration in Finite Terms]<br> | ||
| − | ** Maxwell Rosenlicht | + | ** Maxwell Rosenlicht, <cite>The American Mathematical Monthly</cite>, Vol. 79, No. 9 (Nov., 1972), pp. 963-972 |
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* [http://www.jstor.org/stable/2689612 Integration in Finite Terms: The Liouville Theory]<br> | * [http://www.jstor.org/stable/2689612 Integration in Finite Terms: The Liouville Theory]<br> | ||
| − | ** Toni Kasper | + | ** Toni Kasper, <cite>Mathematics Magazine</cite>, Vol. 53, No. 4 (Sep., 1980), pp. 195-201 |
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* [http://www.jstor.org/stable/2687614 An Invitation to Integration in Finite Terms]<br> | * [http://www.jstor.org/stable/2687614 An Invitation to Integration in Finite Terms]<br> | ||
| − | ** Elena Anne Marchisotto and Gholam-Ali Zakeri | + | ** Elena Anne Marchisotto and Gholam-Ali Zakeri, <cite>The College Mathematics Journal</cite>, Vol. 25, No. 4 (Sep., 1994), pp. 295-308 |
| − | + | * [http://www.springerlink.com/content/ww88811082545480/ From analytic to algebraic methods. Liouville’s approach to integration in finite terms]<br> | |
| + | ** Jesper Lützen, NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin, Volume 2, Number 1 / 1994년 12월 | ||
* [http://math.stanford.edu/%7Econrad/papers/finalint.pdf Integration in elementary terms]<br> | * [http://math.stanford.edu/%7Econrad/papers/finalint.pdf Integration in elementary terms]<br> | ||
** [http://math.stanford.edu/%7Econrad/ Brian Conrad] | ** [http://math.stanford.edu/%7Econrad/ Brian Conrad] | ||
* [http://www.turpion.org/php/paper.phtml?journal_id=rm&paper_id=759 On solvability and unsolvability of equations in explicit form]<br> | * [http://www.turpion.org/php/paper.phtml?journal_id=rm&paper_id=759 On solvability and unsolvability of equations in explicit form]<br> | ||
| − | ** A G Khovanskii | + | ** A G Khovanskii, Russian Math. Surveys 2004, 59 (4), 661-736 |
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2009년 8월 16일 (일) 14:25 판
간단한 소개
관련된 학부 과목과 미리 알고 있으면 좋은 것들
관련된 대학원 과목
관련된 다른 주제들
표준적인 도서 및 추천도서
- Integration in finite terms: Liouville's theory of elementary methods
- Joseph Fels Ritt
위키링크
참고할만한 자료
- The Problem of Integration in Finite Terms
- Robert H. Risch, Transactions of the American Mathematical Society, Vol. 139, (May, 1969), pp. 167-189
- Integration in Finite Terms
- Maxwell Rosenlicht, The American Mathematical Monthly, Vol. 79, No. 9 (Nov., 1972), pp. 963-972
- Integration in Finite Terms: The Liouville Theory
- Toni Kasper, Mathematics Magazine, Vol. 53, No. 4 (Sep., 1980), pp. 195-201
- An Invitation to Integration in Finite Terms
- Elena Anne Marchisotto and Gholam-Ali Zakeri, The College Mathematics Journal, Vol. 25, No. 4 (Sep., 1994), pp. 295-308
- From analytic to algebraic methods. Liouville’s approach to integration in finite terms
- Jesper Lützen, NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin, Volume 2, Number 1 / 1994년 12월
- Integration in elementary terms
- On solvability and unsolvability of equations in explicit form
- A G Khovanskii, Russian Math. Surveys 2004, 59 (4), 661-736