国外数学名著系列(影印版)线性微分方程的伽罗瓦理论

内容简介

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该书主要论述了线性微分方程的理论知识,包括代数理论、尤其是微分伽罗瓦理论、线性微分方程中的反问题等内容。

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目录

Algebraic Theory1 Picard Vessiot Theory1.1 Differential Rings and Fidlds1.2 Linear Differential Eqations1.3 Picard-Vessiot Extensions1.4 The Differential Galois Group1.5 Liouvillian Extensions2 Differential Operatiors and Differential Modules2.1 The Ring=k of Differential Operatiors2.2 Constuctions with Differential Modules2.3 Constuctions with Differential Operatiors2.4 Differential Modules and Representations3 Formal Local Theory3.1 Formal Classification of Differential Equations3.2 The Universal Picalr-Vessiot Ring of K3.3 Newton Polygons4 Algorithimc Considerations4.1 Rational and Exponential Solutions4.2 Factoring Linear Operatiors4.3 Liouvillinan Solutions4.4 Finnite Differential Galois GroupsAnalytic Theory……5 Monodromy,the Riemann-Hilbert Problem,and the Differential Galois Group6 Differential Equations on the Complex Sphere and the Rimann-Hillbert Problem7 Exact Asymptotics8 Stokes Phenmenon and Differential Galois Groups9 Stookes Matrices and Meromorphic Classification10 Universal Picard-Vessiot Rings and Galois Groups11 Inverse Problems12 Modeli for Singular Differential Equations13 Positive CharacteristicAppendicesA Algebraic GeometryB Tannakian CategoriesC Sheaves and CohmologyD Partial Differential EquationsBibliographyList of NotiationIndex

封面

国外数学名著系列(影印版)线性微分方程的伽罗瓦理论

书名:国外数学名著系列(影印版)线性微分方程的伽罗瓦理论

作者:(荷)范德帕特(Van der Put,

页数:460

定价:¥188.0

出版社:科学出版社

出版日期:2016-12-01

ISBN:9787030183019

PDF电子书大小:127MB 高清扫描完整版

百度云下载:http://www.chendianrong.com/703018301.html

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