9783540442288
Galois Theory Of Linear Differential Equations (Grundlehren Der Mathematischen Wissenschaften) - Marius Van Der Put
Springer-Verlag Berlin and Heidelberg GmbH & Co. K (2002)
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Differential equations, Linear, Galois theory

Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.
A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used.
This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students.

Product Details
LoC Classification QA174.2 .P88 2003
Dewey 515.354
Format Hardcover
Cover Price 129,00 €
No. of Pages 478
Height x Width 236 x 163 mm
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