"Differential Galois theory"의 두 판 사이의 차이
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** [[number fields and threefolds]]<br> | ** [[number fields and threefolds]]<br> | ||
** [[3072420|대수적정수론]]<br> | ** [[3072420|대수적정수론]]<br> | ||
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| 65번째 줄: | 67번째 줄: | ||
* [[1925178/attachments/857140|Abel_s_theorem_by_Arnold.djvu]]<br> | * [[1925178/attachments/857140|Abel_s_theorem_by_Arnold.djvu]]<br> | ||
* arnold book on abel theorem problem 348<br> | * arnold book on abel theorem problem 348<br> | ||
| − | * | + | * An introduction to differential algebra<br> |
| − | ** | + | ** Irving Kaplansky<br> |
| + | * algebraic theory of differential equations<br> | ||
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* http://gigapedia.info/1/galois_theory | * http://gigapedia.info/1/galois_theory | ||
* http://gigapedia.info/1/differential+galois+theory | * http://gigapedia.info/1/differential+galois+theory | ||
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* http://gigapedia.info/1/ritt | * http://gigapedia.info/1/ritt | ||
* [http://gigapedia.info/1/Galois%27+dream http://gigapedia.info/1/Galois'+dream] | * [http://gigapedia.info/1/Galois%27+dream http://gigapedia.info/1/Galois'+dream] | ||
| − | * http://gigapedia.info/1/differntial+ | + | * http://gigapedia.info/1/differntial+algebra |
* http://gigapedia.info/1/ | * http://gigapedia.info/1/ | ||
* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords= | * http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords= | ||
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** '''Gilbert Ames Bliss '''<br> | ** '''Gilbert Ames Bliss '''<br> | ||
** http://gigapedia.org/v5/item:view_links?id=100873<br> | ** http://gigapedia.org/v5/item:view_links?id=100873<br> | ||
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* http://en.wikipedia.org/wiki/covering_space | * http://en.wikipedia.org/wiki/covering_space | ||
* http://en.wikipedia.org/wiki/Field_extension | * http://en.wikipedia.org/wiki/Field_extension | ||
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2009년 12월 10일 (목) 05:53 판
- adele and idele
- differential galois theory
- Liouville
elementary extension
- using exponential and logarithm
- elementary element
Liouville extension
- we can adjoin integrals and exponentials of integrals + algbraic extension
- an element is said to be representable by a generalized quadrature
Picard-Vessiot extension
- examples
- algebraic extension
- adjoining an integral
- adjoining the exponential of an integral
theorem
If a Picard-Vessiot extension is a Liouville extension, then the Galois group of this extension is solvable.
solution by quadrature
하위페이지
표준적인 도서 및 추천도서
- Abel_s_theorem_by_Arnold.djvu
- arnold book on abel theorem problem 348
- An introduction to differential algebra
- Irving Kaplansky
- Irving Kaplansky
- algebraic theory of differential equations
- http://gigapedia.info/1/galois_theory
- http://gigapedia.info/1/differential+galois+theory
- http://gigapedia.info/1/Kolchin
- http://gigapedia.info/1/ritt
- http://gigapedia.info/1/Galois'+dream
- http://gigapedia.info/1/differntial+algebra
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
- Algebraic Functions (Dover Phoenix Editions)
- Gilbert Ames Bliss
- http://gigapedia.org/v5/item:view_links?id=100873
- Gilbert Ames Bliss