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Galois theory of linear differential equations/

Put, Marius van der

Galois theory of linear differential equations/ Marius van der Put and Michael F. Singer - Berlin: Springer, 2003. - xvii, 438 p. : ill. ; 24 cm. - (Grundlehren der mathematischen Wissenschaften), 328 .

Algebraic Theory --
1. Picard-Vessiot Theory --
2. Differential Operators and Differential Modules --
3. Formal Local Theory --
4. Algorithmic Considerations --
Analytic Theory --
5. Monodromy, the Riemann-Hilbert Problem, and the Differential Galois Group --
6. Differential Equations on the Complex Sphere and the Riemann-Hilbert Problem --
7. Exact Asymptotics --
8. Stokes Phenomenon and Differential Galois Groups --
9. Stokes Matrices and Meromorphic Classification --
10. Universal Picard-Vessiot Rings and Galois Groups --
11. Inverse Problems --
12. Moduli for Singular Differential Equations --
13. Positive Characteristic --
A. Algebraic Geometry --
B. Tannakian Categories --
C. Sheaves and Cohomology --
D. Partial Differential Equations.

ISBN: 3540442286

Subjects--Topical Terms:
Differential equations
Galois theory
Mathematics

Dewey Class. No.: 515.354 / PUT/G