Geometrical Methods in the Theory of Ordinary Differential Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1988
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
250 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations |
| Beschreibung: | 1 Online-Ressource (XIII, 351 p) |
| ISBN: | 9781461210375 9781461269946 |
| ISSN: | 0072-7830 |
| DOI: | 10.1007/978-1-4612-1037-5 |
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Datensatz im Suchindex
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| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1037-5 |
| edition | Second Edition |
| format | Electronic eBook |
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| issn | 0072-7830 |
| language | English |
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| spelling | Arnold, V. I. Verfasser aut Geometrical Methods in the Theory of Ordinary Differential Equations by V. I. Arnold Second Edition New York, NY Springer New York 1988 1 Online-Ressource (XIII, 351 p) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 250 0072-7830 Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations Mathematics Global analysis (Mathematics) Analysis Mathematik Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Theorie (DE-588)4059787-8 gnd rswk-swf Geometrische Methode (DE-588)4156715-8 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Geometrische Methode (DE-588)4156715-8 s 1\p DE-604 Singularität Mathematik (DE-588)4077459-4 s 2\p DE-604 Differentialgleichung (DE-588)4012249-9 s Geometrie (DE-588)4020236-7 s 3\p DE-604 4\p DE-604 5\p DE-604 Theorie (DE-588)4059787-8 s 6\p DE-604 https://doi.org/10.1007/978-1-4612-1037-5 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Arnold, V. I. Geometrical Methods in the Theory of Ordinary Differential Equations Mathematics Global analysis (Mathematics) Analysis Mathematik Singularität Mathematik (DE-588)4077459-4 gnd Differentialgleichung (DE-588)4012249-9 gnd Geometrie (DE-588)4020236-7 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Theorie (DE-588)4059787-8 gnd Geometrische Methode (DE-588)4156715-8 gnd |
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| title | Geometrical Methods in the Theory of Ordinary Differential Equations |
| title_auth | Geometrical Methods in the Theory of Ordinary Differential Equations |
| title_exact_search | Geometrical Methods in the Theory of Ordinary Differential Equations |
| title_full | Geometrical Methods in the Theory of Ordinary Differential Equations by V. I. Arnold |
| title_fullStr | Geometrical Methods in the Theory of Ordinary Differential Equations by V. I. Arnold |
| title_full_unstemmed | Geometrical Methods in the Theory of Ordinary Differential Equations by V. I. Arnold |
| title_short | Geometrical Methods in the Theory of Ordinary Differential Equations |
| title_sort | geometrical methods in the theory of ordinary differential equations |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Singularität Mathematik (DE-588)4077459-4 gnd Differentialgleichung (DE-588)4012249-9 gnd Geometrie (DE-588)4020236-7 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Theorie (DE-588)4059787-8 gnd Geometrische Methode (DE-588)4156715-8 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Singularität Mathematik Differentialgleichung Geometrie Gewöhnliche Differentialgleichung Theorie Geometrische Methode |
| url | https://doi.org/10.1007/978-1-4612-1037-5 |
| work_keys_str_mv | AT arnoldvi geometricalmethodsinthetheoryofordinarydifferentialequations |