Elements of Topological Dynamics:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Dordrecht
Springer Netherlands
1993
|
Schriftenreihe: | Mathematics and Its Applications
257 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equations. So this book ('Elements . . . ' rather than 'Introduction . . . ') is in the tradition of the books [GH] and [EW]. The title does not mean that this book should be compared, either in scope or in (intended) impact, with the 'Elements' of Euclid or Bourbaki. Instead, it reflects the choice and organisation of the material in this book: elementary and basic (but sufficient to understand recent research papers in this field). There are still many challenging problems waiting for a solution, and especially among general topologists there is a growing interest in this direction. However, the technical inaccessability of many research papers makes it almost impossible for an outsider to understand what is going on. To a large extent, this inaccessability is caused by the lack of a good and systematic exposition of the fundamental methods and techniques of abstract TO. This book is an attempt to fill this gap. The guiding principle for the organization of the material in this book has been the exposition of methods and techniques rather than a discussion of the leading problems and their solutions. though the latter are certainly not neglected: they are used as a motivation wherever possible |
Beschreibung: | 1 Online-Ressource (XVI, 748 p) |
ISBN: | 9789401581714 9789048142743 |
DOI: | 10.1007/978-94-015-8171-4 |
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Datensatz im Suchindex
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author_facet | Vries, J. |
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dewey-ones | 514 - Topology |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:14Z |
institution | BVB |
isbn | 9789401581714 9789048142743 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859459 |
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physical | 1 Online-Ressource (XVI, 748 p) |
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publishDate | 1993 |
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publisher | Springer Netherlands |
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series | Mathematics and Its Applications |
series2 | Mathematics and Its Applications |
spelling | Vries, J. Verfasser aut Elements of Topological Dynamics by J. Vries Dordrecht Springer Netherlands 1993 1 Online-Ressource (XVI, 748 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 257 This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equations. So this book ('Elements . . . ' rather than 'Introduction . . . ') is in the tradition of the books [GH] and [EW]. The title does not mean that this book should be compared, either in scope or in (intended) impact, with the 'Elements' of Euclid or Bourbaki. Instead, it reflects the choice and organisation of the material in this book: elementary and basic (but sufficient to understand recent research papers in this field). There are still many challenging problems waiting for a solution, and especially among general topologists there is a growing interest in this direction. However, the technical inaccessability of many research papers makes it almost impossible for an outsider to understand what is going on. To a large extent, this inaccessability is caused by the lack of a good and systematic exposition of the fundamental methods and techniques of abstract TO. This book is an attempt to fill this gap. The guiding principle for the organization of the material in this book has been the exposition of methods and techniques rather than a discussion of the leading problems and their solutions. though the latter are certainly not neglected: they are used as a motivation wherever possible Mathematics Topological Groups Global analysis Differential Equations Topology Topological Groups, Lie Groups Ordinary Differential Equations Global Analysis and Analysis on Manifolds Mathematik Topologische Dynamik (DE-588)4253345-4 gnd rswk-swf Topologische Dynamik (DE-588)4253345-4 s 1\p DE-604 Mathematics and Its Applications 257 (DE-604)BV008163334 257 https://doi.org/10.1007/978-94-015-8171-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Vries, J. Elements of Topological Dynamics Mathematics and Its Applications Mathematics Topological Groups Global analysis Differential Equations Topology Topological Groups, Lie Groups Ordinary Differential Equations Global Analysis and Analysis on Manifolds Mathematik Topologische Dynamik (DE-588)4253345-4 gnd |
subject_GND | (DE-588)4253345-4 |
title | Elements of Topological Dynamics |
title_auth | Elements of Topological Dynamics |
title_exact_search | Elements of Topological Dynamics |
title_full | Elements of Topological Dynamics by J. Vries |
title_fullStr | Elements of Topological Dynamics by J. Vries |
title_full_unstemmed | Elements of Topological Dynamics by J. Vries |
title_short | Elements of Topological Dynamics |
title_sort | elements of topological dynamics |
topic | Mathematics Topological Groups Global analysis Differential Equations Topology Topological Groups, Lie Groups Ordinary Differential Equations Global Analysis and Analysis on Manifolds Mathematik Topologische Dynamik (DE-588)4253345-4 gnd |
topic_facet | Mathematics Topological Groups Global analysis Differential Equations Topology Topological Groups, Lie Groups Ordinary Differential Equations Global Analysis and Analysis on Manifolds Mathematik Topologische Dynamik |
url | https://doi.org/10.1007/978-94-015-8171-4 |
volume_link | (DE-604)BV008163334 |
work_keys_str_mv | AT vriesj elementsoftopologicaldynamics |