Singularities: formation, structure, and propagation
Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2015
|
| Schriftenreihe: | Cambridge texts in applied mathematics
53 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xvi, 453 pages) |
| ISBN: | 9781316161692 |
| DOI: | 10.1017/CBO9781316161692 |
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| 520 | |a Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations | ||
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| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316161692 |
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| indexdate | 2024-07-10T07:39:13Z |
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| isbn | 9781316161692 |
| language | English |
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| spelling | Eggers, J. 1963- Verfasser aut Singularities formation, structure, and propagation J. Eggers, University of Bristol, M.A. Fontelos, Consejo Superior de Investigaciones Cientificas, Madrid Singularities: Formation, Structure, & Propagation Cambridge Cambridge University Press 2015 1 online resource (xvi, 453 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge texts in applied mathematics 53 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations Singularities (Mathematics) Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Physik (DE-588)4045956-1 s Singularität Mathematik (DE-588)4077459-4 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Fontelos, M. A. Sonstige oth Erscheint auch als Druckausgabe 978-1-107-09841-1 Erscheint auch als Druckausgabe 978-1-107-48549-5 https://doi.org/10.1017/CBO9781316161692 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Eggers, J. 1963- Singularities formation, structure, and propagation Singularities (Mathematics) Partielle Differentialgleichung (DE-588)4044779-0 gnd Singularität Mathematik (DE-588)4077459-4 gnd Physik (DE-588)4045956-1 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4077459-4 (DE-588)4045956-1 |
| title | Singularities formation, structure, and propagation |
| title_alt | Singularities: Formation, Structure, & Propagation |
| title_auth | Singularities formation, structure, and propagation |
| title_exact_search | Singularities formation, structure, and propagation |
| title_full | Singularities formation, structure, and propagation J. Eggers, University of Bristol, M.A. Fontelos, Consejo Superior de Investigaciones Cientificas, Madrid |
| title_fullStr | Singularities formation, structure, and propagation J. Eggers, University of Bristol, M.A. Fontelos, Consejo Superior de Investigaciones Cientificas, Madrid |
| title_full_unstemmed | Singularities formation, structure, and propagation J. Eggers, University of Bristol, M.A. Fontelos, Consejo Superior de Investigaciones Cientificas, Madrid |
| title_short | Singularities |
| title_sort | singularities formation structure and propagation |
| title_sub | formation, structure, and propagation |
| topic | Singularities (Mathematics) Partielle Differentialgleichung (DE-588)4044779-0 gnd Singularität Mathematik (DE-588)4077459-4 gnd Physik (DE-588)4045956-1 gnd |
| topic_facet | Singularities (Mathematics) Partielle Differentialgleichung Singularität Mathematik Physik |
| url | https://doi.org/10.1017/CBO9781316161692 |
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