Galois Theory of Linear Differential Equations
(Sprache: Englisch)
From the reviews: "This is a great book, which will hopefully become a classic in the subject of differential Galois theory. [...] the specialist, as well as the novice, have long been missing an introductory book covering also specific and advanced...
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Klappentext zu „Galois Theory of Linear Differential Equations “
From the reviews: "This is a great book, which will hopefully become a classic in the subject of differential Galois theory. [...] the specialist, as well as the novice, have long been missing an introductory book covering also specific and advanced research topics. This gap is filled by the volume under review, and more than satisfactorily." Mathematical Reviews
Inhaltsverzeichnis zu „Galois Theory of Linear Differential Equations “
- Algebraic Theory: Picard-Vessiot Theory- Differential Operators and Differential Modules
- Formal Local Theory
- Algorithmic ConsiderationsAnalytic 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 CharacteristicAppendices: Algebraic Geometry
- Tannakian Categories
- Sheaves and Cohomology
Partial Differential Equations.
Bibliographische Angaben
- Autoren: Marius van der Put , Michael F. Singer
- 2003, 2003, 438 Seiten, Maße: 15,9 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3540442286
- ISBN-13: 9783540442288
- Erscheinungsdatum: 21.01.2003
Sprache:
Englisch
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