Galois theory of linear differential equations
Marius van der Put, Michael F. Singer.
Berlin ; New York : Springer, ©2003.
xvii, 438 págs. : ilustraciones ; 24 cm.
Serie: Grundlehren der mathematischen Wissenschaften, ISSN 0072-7830 ; 328
ISBN: 3540442286
Incluye referencias bibliográficas (p. [419]-432) e índice.
Reseña: MathSciNet, 2004c:12010
Contenido
- Algebraic Theory: Picard-Vessiot Theory
- Differential Operators and Differential Modules
- Formal Local Theory
- Algorithmic Considerations
- Analytic Theory: Monodromy, the Riemann-Hilbert Problem and the Differential Galois Group
- Differential Equations on the Complex Sphere and the Riemann-Hilbert Problem
- Exact Asymptotics
- Stokes Phenomenon and Differential Galois Groups
- Stokes Matrices and Meromorphic Classification
- Universal Picard-Vessiot Rings and Galois Groups
- Inverse Problems
- Moduli for Singular Differential Equations
- Positive Characteristic
- Appendices: Algebraic Geometry
- Tannakian Categories
- Sheaves and Cohomology
- Partial Differential Equations.
