Symmetries and Differential Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1989
|
| Schriftenreihe: | Applied Mathematical Sciences
154 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | A major portion of this book discusses work which has appeared since the publication of the book Similarity Methods for Differential Equations, Springer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and comprehensive treatment of Lie groups of tranformations and their various uses for solving ordinary and partial differential equations. No knowledge of group theory is assumed. Emphasis is placed on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This book should be particularly suitable for physicists, applied mathematicians, and engineers. Almost all of the examples are taken from physical and engineering problems including those concerned with heat conduction, wave propagation, and fluid flows. A preliminary version was used as lecture notes for a two-semester course taught by the first author at the University of British Columbia in 1987-88 to graduate and senior undergraduate students in applied mathematics and physics. Chapters 1 to 4 encompass basic material. More specialized topics are covered in Chapters 5 to 7 |
| Beschreibung: | 1 Online-Ressource (XIII, 413 p) |
| ISBN: | 9781475743074 9781475743098 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4757-4307-4 |
Internformat
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Datensatz im Suchindex
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| author | Bluman, George W. |
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
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| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-4307-4 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
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| institution | BVB |
| isbn | 9781475743074 9781475743098 |
| issn | 0066-5452 |
| language | English |
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| spelling | Bluman, George W. Verfasser aut Symmetries and Differential Equations by George W. Bluman, Sukeyuki Kumei New York, NY Springer New York 1989 1 Online-Ressource (XIII, 413 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 154 0066-5452 A major portion of this book discusses work which has appeared since the publication of the book Similarity Methods for Differential Equations, Springer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and comprehensive treatment of Lie groups of tranformations and their various uses for solving ordinary and partial differential equations. No knowledge of group theory is assumed. Emphasis is placed on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This book should be particularly suitable for physicists, applied mathematicians, and engineers. Almost all of the examples are taken from physical and engineering problems including those concerned with heat conduction, wave propagation, and fluid flows. A preliminary version was used as lecture notes for a two-semester course taught by the first author at the University of British Columbia in 1987-88 to graduate and senior undergraduate students in applied mathematics and physics. Chapters 1 to 4 encompass basic material. More specialized topics are covered in Chapters 5 to 7 Mathematics Global analysis (Mathematics) Analysis Mathematik Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Numerisches Verfahren (DE-588)4128130-5 s Lie-Gruppe (DE-588)4035695-4 s 1\p DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s 2\p DE-604 Kumei, Sukeyuki Sonstige oth https://doi.org/10.1007/978-1-4757-4307-4 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 |
| spellingShingle | Bluman, George W. Symmetries and Differential Equations Mathematics Global analysis (Mathematics) Analysis Mathematik Differentialgleichung (DE-588)4012249-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4044779-0 (DE-588)4128130-5 (DE-588)4035695-4 |
| title | Symmetries and Differential Equations |
| title_auth | Symmetries and Differential Equations |
| title_exact_search | Symmetries and Differential Equations |
| title_full | Symmetries and Differential Equations by George W. Bluman, Sukeyuki Kumei |
| title_fullStr | Symmetries and Differential Equations by George W. Bluman, Sukeyuki Kumei |
| title_full_unstemmed | Symmetries and Differential Equations by George W. Bluman, Sukeyuki Kumei |
| title_short | Symmetries and Differential Equations |
| title_sort | symmetries and differential equations |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Differentialgleichung (DE-588)4012249-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Differentialgleichung Partielle Differentialgleichung Numerisches Verfahren Lie-Gruppe |
| url | https://doi.org/10.1007/978-1-4757-4307-4 |
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