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: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1997
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| Schriftenreihe: | Cambridge texts in applied mathematics
19 |
| Links: | 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. |
| Umfang: | 1 Online-Ressource (xiv, 445 Seiten) |
| ISBN: | 9780511624056 |
Internformat
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| spelling | Johnson, R. S. 1944- A modern introduction to the mathematical theory of water waves R.S. Johnson Cambridge Cambridge University Press 1997 1 Online-Ressource (xiv, 445 Seiten) txt c cr Cambridge texts in applied mathematics 19 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. Erscheint auch als Druck-Ausgabe 9780521591720 Erscheint auch als Druck-Ausgabe 9780521598323 |
| spellingShingle | Johnson, R. S. 1944- A modern introduction to the mathematical theory of water waves |
| 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 | modern introduction to the mathematical theory of water waves |
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