Grundlehren der mathematischen Wissenschaften

van der Put, Marius; Singer, Michael F.

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.

Details

Published by: Springer

Publication Date: 2003-01-21

Format: Hardcover

ISBN-13: 9783540442288

DOI: 10.1007/978-3-642-55750-7

Dimensions: 235cm x155cm

Pages: 438