"Differential Galois theory"의 두 판 사이의 차이
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(피타고라스님이 이 페이지의 이름을 differential Galois theory and monodromy로 바꾸었습니다.) |
(피타고라스님이 이 페이지의 이름을 differential Galois theory로 바꾸었습니다.) |
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2009년 12월 23일 (수) 20:04 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.
Fuchsian differential equation
- regular singularity
- indicial equation
solution by quadrature
Differential Galois Theory and Non-Integrability of Hamiltonian Systems
Integrability and non-integrability in Hamiltonian mechanic
하위페이지
http://www.caminos.upm.es/matematicas/morales%20ruiz/libroFSB.pdf
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