Stability of Motion:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1967
|
Schriftenreihe: | Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete
138 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | The theory of the stability of motion has gained increasing significance in the last decades as is apparent from the large number of publications on the subject. A considerable part of this work is concerned with practical problems, especially problems from the area of controls and servo-mechanisms, and concrete problems from engineering were the ones which first gave the decisive impetus for the expansion and modern development of stability theory. In comparison with the many single publications, which are numbered in the thousands, the number of books on stability theory, and especially books not written in Russian, is extraordinarily small. Books which giw the student a complete introduction into the topic and which simultaneously familiarize him with the newer results of the theory and their applications to practical questions are completely lacking. I hope that the book which I hereby present will to some extent do justice to this double task. I haw endeavored to treat stability theory as a mathematical discipline, to characterize its methods, and to prove its theorems rigorollsly and completely as mathematical theorems. Still I always strove to make reference to applications, to illustrate the arguments with examples, and to stress the interaction between theory and practice. The mathematical preparation of the reader should consist of about two to three years of university mathematics |
Beschreibung: | 1 Online-Ressource (XII, 448 p.) 35 illus |
ISBN: | 9783642500855 9783642500879 |
DOI: | 10.1007/978-3-642-50085-5 |
Internformat
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490 | 1 | |a Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete |v 138 | |
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Datensatz im Suchindex
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adam_text | |
any_adam_object | |
author | Hahn, Wolfgang |
author_facet | Hahn, Wolfgang |
author_role | aut |
author_sort | Hahn, Wolfgang |
author_variant | w h wh |
building | Verbundindex |
bvnumber | BV042422554 |
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dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics |
dewey-raw | 510 |
dewey-search | 510 |
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discipline | Mathematik |
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id | DE-604.BV042422554 |
illustrated | Not Illustrated |
indexdate | 2024-07-20T06:38:45Z |
institution | BVB |
isbn | 9783642500855 9783642500879 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857971 |
oclc_num | 864009398 |
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physical | 1 Online-Ressource (XII, 448 p.) 35 illus |
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publishDate | 1967 |
publishDateSearch | 1967 |
publishDateSort | 1967 |
publisher | Springer Berlin Heidelberg |
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series | Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete |
series2 | Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete |
spelling | Hahn, Wolfgang Verfasser aut Stability of Motion by Wolfgang Hahn Berlin, Heidelberg Springer Berlin Heidelberg 1967 1 Online-Ressource (XII, 448 p.) 35 illus txt rdacontent c rdamedia cr rdacarrier Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete 138 The theory of the stability of motion has gained increasing significance in the last decades as is apparent from the large number of publications on the subject. A considerable part of this work is concerned with practical problems, especially problems from the area of controls and servo-mechanisms, and concrete problems from engineering were the ones which first gave the decisive impetus for the expansion and modern development of stability theory. In comparison with the many single publications, which are numbered in the thousands, the number of books on stability theory, and especially books not written in Russian, is extraordinarily small. Books which giw the student a complete introduction into the topic and which simultaneously familiarize him with the newer results of the theory and their applications to practical questions are completely lacking. I hope that the book which I hereby present will to some extent do justice to this double task. I haw endeavored to treat stability theory as a mathematical discipline, to characterize its methods, and to prove its theorems rigorollsly and completely as mathematical theorems. Still I always strove to make reference to applications, to illustrate the arguments with examples, and to stress the interaction between theory and practice. The mathematical preparation of the reader should consist of about two to three years of university mathematics Mathematics Mathematics, general Mathematik Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd rswk-swf Stabilitätstheorie Logik (DE-588)4433824-7 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Stabilität (DE-588)4056693-6 s 1\p DE-604 Stabilitätstheorie Logik (DE-588)4433824-7 s 2\p DE-604 Ljapunov-Stabilitätstheorie (DE-588)4167992-1 s 3\p DE-604 Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete 138 (DE-604)BV049758308 138 https://doi.org/10.1007/978-3-642-50085-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Hahn, Wolfgang Stability of Motion Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete Mathematics Mathematics, general Mathematik Differentialgleichung (DE-588)4012249-9 gnd Stabilität (DE-588)4056693-6 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Stabilitätstheorie Logik (DE-588)4433824-7 gnd |
subject_GND | (DE-588)4012249-9 (DE-588)4056693-6 (DE-588)4167992-1 (DE-588)4433824-7 |
title | Stability of Motion |
title_auth | Stability of Motion |
title_exact_search | Stability of Motion |
title_full | Stability of Motion by Wolfgang Hahn |
title_fullStr | Stability of Motion by Wolfgang Hahn |
title_full_unstemmed | Stability of Motion by Wolfgang Hahn |
title_short | Stability of Motion |
title_sort | stability of motion |
topic | Mathematics Mathematics, general Mathematik Differentialgleichung (DE-588)4012249-9 gnd Stabilität (DE-588)4056693-6 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Stabilitätstheorie Logik (DE-588)4433824-7 gnd |
topic_facet | Mathematics Mathematics, general Mathematik Differentialgleichung Stabilität Ljapunov-Stabilitätstheorie Stabilitätstheorie Logik |
url | https://doi.org/10.1007/978-3-642-50085-5 |
volume_link | (DE-604)BV049758308 |
work_keys_str_mv | AT hahnwolfgang stabilityofmotion |