A modern introduction to the mathematical theory of water waves:
The theory of water waves has been a source of intriguing and often difficult mathematical problems for at least 150 years. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the ope...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1997
|
| Schriftenreihe: | Cambridge texts in applied mathematics
19 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9780511624056 https://doi.org/10.1017/CBO9780511624056 https://doi.org/10.1017/CBO9780511624056 |
| Zusammenfassung: | The theory of water waves has been a source of intriguing and often difficult mathematical problems for at least 150 years. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and non-linear water-wave theory. This sets the ground for a study of more modern aspects, problems that give rise to soliton-type equations. The book closes with an introduction to the effects of viscosity. All the mathematical developments are presented in the most straightforward manner, with worked examples and simple cases carefully explained. Exercises, further reading, and historical notes on some of the important characters in the field round off the book and help to make this an ideal text for a beginning graduate course on water waves |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Umfang: | 1 online resource (xiv, 445 pages) |
| ISBN: | 9780511624056 |
| DOI: | 10.1017/CBO9780511624056 |
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| 520 | |a The theory of water waves has been a source of intriguing and often difficult mathematical problems for at least 150 years. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and non-linear water-wave theory. This sets the ground for a study of more modern aspects, problems that give rise to soliton-type equations. The book closes with an introduction to the effects of viscosity. All the mathematical developments are presented in the most straightforward manner, with worked examples and simple cases carefully explained. Exercises, further reading, and historical notes on some of the important characters in the field round off the book and help to make this an ideal text for a beginning graduate course on water waves | ||
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Datensatz im Suchindex
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| author | Johnson, R. S. 1944- |
| author_facet | Johnson, R. S. 1944- |
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| author_sort | Johnson, R. S. 1944- |
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| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511624056 (OCoLC)849906760 (DE-599)BVBBV043940682 |
| dewey-full | 532/.593/0151 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.593/0151 |
| dewey-search | 532/.593/0151 |
| dewey-sort | 3532 3593 3151 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9780511624056 |
| format | Electronic eBook |
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| id | DE-604.BV043940682 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:49:15Z |
| institution | BVB |
| isbn | 9780511624056 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349652 |
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| physical | 1 online resource (xiv, 445 pages) |
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| publishDate | 1997 |
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| publisher | Cambridge University Press |
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| series2 | Cambridge texts in applied mathematics |
| spelling | Johnson, R. S. 1944- Verfasser aut A modern introduction to the mathematical theory of water waves R.S. Johnson Cambridge Cambridge University Press 1997 1 online resource (xiv, 445 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge texts in applied mathematics 19 Title from publisher's bibliographic system (viewed on 05 Oct 2015) The theory of water waves has been a source of intriguing and often difficult mathematical problems for at least 150 years. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and non-linear water-wave theory. This sets the ground for a study of more modern aspects, problems that give rise to soliton-type equations. The book closes with an introduction to the effects of viscosity. All the mathematical developments are presented in the most straightforward manner, with worked examples and simple cases carefully explained. Exercises, further reading, and historical notes on some of the important characters in the field round off the book and help to make this an ideal text for a beginning graduate course on water waves Wave-motion, Theory of Water waves Soliton (DE-588)4135213-0 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Wasserwelle (DE-588)4136091-6 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Wasserwelle (DE-588)4136091-6 s Soliton (DE-588)4135213-0 s Strömungsmechanik (DE-588)4077970-1 s Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-59172-0 Erscheint auch als Druckausgabe 978-0-521-59832-3 https://doi.org/10.1017/CBO9780511624056 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Johnson, R. S. 1944- A modern introduction to the mathematical theory of water waves Wave-motion, Theory of Water waves Soliton (DE-588)4135213-0 gnd Strömungsmechanik (DE-588)4077970-1 gnd Wasserwelle (DE-588)4136091-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4135213-0 (DE-588)4077970-1 (DE-588)4136091-6 (DE-588)4114528-8 |
| title | A modern introduction to the mathematical theory of water waves |
| title_auth | A modern introduction to the mathematical theory of water waves |
| title_exact_search | A modern introduction to the mathematical theory of water waves |
| title_full | A modern introduction to the mathematical theory of water waves R.S. Johnson |
| title_fullStr | A modern introduction to the mathematical theory of water waves R.S. Johnson |
| title_full_unstemmed | A modern introduction to the mathematical theory of water waves R.S. Johnson |
| title_short | A modern introduction to the mathematical theory of water waves |
| title_sort | a modern introduction to the mathematical theory of water waves |
| topic | Wave-motion, Theory of Water waves Soliton (DE-588)4135213-0 gnd Strömungsmechanik (DE-588)4077970-1 gnd Wasserwelle (DE-588)4136091-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Wave-motion, Theory of Water waves Soliton Strömungsmechanik Wasserwelle Mathematisches Modell |
| url | https://doi.org/10.1017/CBO9780511624056 |
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