书目名称 | Galois Theory of Linear Differential Equations |
编辑 | Marius Put,Michael F. Singer |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Grundlehren der mathematischen Wissenschaften |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2003 |
关键词 | Arithmetic; Asymptotics; Computer Algebra; Direct Problems; Galois Theory; Global Classification; Inverse |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-55750-7 |
isbn_softcover | 978-3-642-62916-7 |
isbn_ebook | 978-3-642-55750-7Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
issn_series | 0072-7830 |
copyright | Springer-Verlag Berlin Heidelberg 2003 |