Galois Theory of Linear Differential Equations (Grundlehren der mathematischen Wissenschaften, 328, Band 328) - Hardcover

Buch 117 von 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

Van Der Put, Marius; Singer, Michael F.

 
9783540442288: Galois Theory of Linear Differential Equations (Grundlehren der mathematischen Wissenschaften, 328, Band 328)

Inhaltsangabe

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.

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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.

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9783642629167: Galois Theory of Linear Differential Equations (Grundlehren der mathematischen Wissenschaften, Band 328)

Vorgestellte Ausgabe

ISBN 10:  3642629164 ISBN 13:  9783642629167
Verlag: Springer, 2012
Softcover