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四月 12, 2024
微分伽罗瓦理论, 数学中, 是研究微分方程伽罗瓦群的理论, 概述, 编辑代数伽罗瓦理论研究代数域的扩张, 而则研究微分域的扩张, 即具备导子d的域, 这两种构造的一个区别是, 中的伽罗瓦群往往是矩阵李群, 而代数伽罗瓦理论中常常是有限群, 另见, 编辑皮卡, 韦西奥理论参考文献, 编辑hubbard, john, lundell, benjamin, first, look, differential, algebra, american, mathematical, monthly, 2011, jstor, 4. 数学中 微分伽罗瓦理论是研究微分方程伽罗瓦群的理论 概述 编辑代数伽罗瓦理论研究代数域的扩张 而微分伽罗瓦理论则研究微分域的扩张 即具备导子D的域 这两种构造的一个区别是 微分伽罗瓦理论中的伽罗瓦群往往是矩阵李群 而代数伽罗瓦理论中常常是有限群 另见 编辑皮卡 韦西奥理论参考文献 编辑Hubbard John H Lundell Benjamin E A First Look at Differential Algebra PDF The American Mathematical Monthly 2011 118 3 245 261 JSTOR 10 4169 amer math monthly 118 03 245 S2CID 1567399 doi 10 4169 amer math monthly 118 03 245 Bertrand D Review of Lectures on differential Galois theory PDF Bulletin of the American Mathematical Society 1996 33 2 ISSN 0002 9904 doi 10 1090 s0273 0979 96 00652 0 nbsp Beukers Frits 8 Differential Galois theory Waldschmidt Michel Moussa Pierre Luck Jean Marc Itzykson Claude 编 From number theory to physics Lectures of a meeting on number theory and physics held at the Centre de Physique Les Houches France March 7 16 1989 Berlin Springer Verlag 413 439 1992 ISBN 3 540 53342 7 Zbl 0813 12001 Magid Andy R Lectures on differential Galois theory University Lecture Series 7 Providence R I American Mathematical Society 1994 ISBN 978 0 8218 7004 4 MR 1301076 Magid Andy R Differential Galois theory PDF Notices of the American Mathematical Society 1999 46 9 1041 1049 ISSN 0002 9920 MR 1710665 van der Put Marius Singer Michael F Galois theory of linear differential equations Grundlehren der Mathematischen Wissenschaften Fundamental Principles of Mathematical Sciences 328 Berlin New York Springer Verlag 2003 ISBN 978 3 540 44228 8 MR 1960772 Juan J Morales Ruiz Differential Galois Theory and Non Integrability of Hamiltonian Systems Birkhaeuser 1999 ISBN 978 3764360788 取自 https zh wikipedia org w index php title 微分伽罗瓦理论 amp oldid 81083234, 维基百科,wiki,书籍,书籍,图书馆,