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

Van Der Put, Marius; Singer, Michael F.

Hardcover

ISBN 10: 3540442286 ISBN 13: 9783540442288

Publisher: Springer, 2003

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2003
• Language: English
• ISBN 10: 3540442286
• ISBN 13: 9783540442288
• Binding: Hardcover
• Number of pages: 455