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Galois theory of linear differential equations/ Marius van der Put and Michael F. Singer

By: Put, Marius van derContributor(s): Singer, Michael FMaterial type: Text

TextSeries: (Grundlehren der mathematischen Wissenschaften) ; 328Publication details: Berlin: Springer, 2003Description: xvii, 438 p. : ill. ; 24 cmISBN: 3540442286Subject(s): Differential equations | Galois theory | MathematicsDDC classification: 515.354

Contents:

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.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	515.354 PUT/G (Browse shelf(Opens below))	Available		P25328

Total holds: 0

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.

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