Galois Theory of Linear Differential Equations:
Gespeichert in:
Beteilige Person: | |
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Format: | Elektronisch E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003
|
Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
328 |
Schlagwörter: | |
Links: | https://doi.org/10.1007/978-3-642-55750-7 |
Beschreibung: | 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 |
Umfang: | 1 Online-Ressource (XVII, 438 p) |
ISBN: | 9783642557507 9783642629167 |
ISSN: | 0072-7830 |
DOI: | 10.1007/978-3-642-55750-7 |
Internformat
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490 | 0 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |v 328 |x 0072-7830 | |
500 | |a 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 | ||
650 | 4 | |a Mathematics | |
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650 | 4 | |a Commutative Rings and Algebras | |
650 | 4 | |a Algebraic Geometry | |
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Datensatz im Suchindex
DE-BY-TUM_katkey | 2069621 |
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any_adam_object | |
author | Put, Marius van der 1941- |
author_GND | (DE-588)115533249 (DE-588)115533265 |
author_facet | Put, Marius van der 1941- |
author_role | aut |
author_sort | Put, Marius van der 1941- |
author_variant | m v d p mvd mvdp |
building | Verbundindex |
bvnumber | BV042422612 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
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dewey-full | 512.7 |
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dewey-ones | 512 - Algebra |
dewey-raw | 512.7 |
dewey-search | 512.7 |
dewey-sort | 3512.7 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-642-55750-7 |
format | Electronic eBook |
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id | DE-604.BV042422612 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T17:10:47Z |
institution | BVB |
isbn | 9783642557507 9783642629167 |
issn | 0072-7830 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858029 |
oclc_num | 863807371 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (XVII, 438 p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 2003 |
publishDateSearch | 2003 |
publishDateSort | 2003 |
publisher | Springer Berlin Heidelberg |
record_format | marc |
series2 | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
spellingShingle | Put, Marius van der 1941- Galois Theory of Linear Differential Equations Mathematics Geometry, algebraic Algebra Differential Equations Number theory Number Theory Commutative Rings and Algebras Algebraic Geometry Ordinary Differential Equations Mathematik Galois-Theorie (DE-588)4155901-0 gnd Lineare Differentialgleichung (DE-588)4206889-7 gnd |
subject_GND | (DE-588)4155901-0 (DE-588)4206889-7 |
title | Galois Theory of Linear Differential Equations |
title_auth | Galois Theory of Linear Differential Equations |
title_exact_search | Galois Theory of Linear Differential Equations |
title_full | Galois Theory of Linear Differential Equations by Marius Put, Michael F. Singer |
title_fullStr | Galois Theory of Linear Differential Equations by Marius Put, Michael F. Singer |
title_full_unstemmed | Galois Theory of Linear Differential Equations by Marius Put, Michael F. Singer |
title_short | Galois Theory of Linear Differential Equations |
title_sort | galois theory of linear differential equations |
topic | Mathematics Geometry, algebraic Algebra Differential Equations Number theory Number Theory Commutative Rings and Algebras Algebraic Geometry Ordinary Differential Equations Mathematik Galois-Theorie (DE-588)4155901-0 gnd Lineare Differentialgleichung (DE-588)4206889-7 gnd |
topic_facet | Mathematics Geometry, algebraic Algebra Differential Equations Number theory Number Theory Commutative Rings and Algebras Algebraic Geometry Ordinary Differential Equations Mathematik Galois-Theorie Lineare Differentialgleichung |
url | https://doi.org/10.1007/978-3-642-55750-7 |
work_keys_str_mv | AT putmariusvander galoistheoryoflineardifferentialequations AT singermichaelf galoistheoryoflineardifferentialequations |