000 00382nam a2200133Ia 4500
999 _c170352
_d170352
020 _a3540442286
040 _cCUS
082 _a515.354
_bPUT/G
100 _aPut, Marius van der
245 0 _aGalois theory of linear differential equations/
_cMarius van der Put and Michael F. Singer
260 _aBerlin:
_bSpringer,
_c2003.
300 _axvii, 438 p. :
_bill. ;
_c24 cm.
440 _a(Grundlehren der mathematischen Wissenschaften),
_v328
505 _aAlgebraic 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.
650 _aDifferential equations
650 _aGalois theory
650 _aMathematics
700 _aSinger, Michael F.
942 _cWB16