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A Modern Introduction to the Mathematical Theory of Water Waves : Cambridge Texts in Applied Mathematics - R. S. Johnson

A Modern Introduction to the Mathematical Theory of Water Waves

Cambridge Texts in Applied Mathematics

Paperback

Published: 9th February 1998
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For over a hundred years, the theory of water waves has been a source of intriguing and often difficult mathematical problems. 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 nonlinear water-wave theory. This sets the stage 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 make this an ideal text for a beginning graduate course on water waves.

' ... an excellent textbook for graduate or advanced undergraduate courses'. Nonlinear News ' ... the book would amke an excellent textbook for graduate or advanced undergraduate courses'. J. D. Gibbon, UK Nonlinear Science News 'This is an excellent textbook suitable to the last-year undergraduate students in applied mathematics, physics, or engineering, as well as to the first-year graduate students in similar areas.' Zietschrift fur Angwandte Mathematik und Physik 'The book is a valuable source of information on the mathematic theory of water gravity waves and I am very pleased to have it on my shelf. I would recommend it to anyone who deals or is going to deal with this subject, but first for all to mathematically inclined readers.' M. Markiewicz, ZAMM ' ... the publication of this book will be welcomed by researchers and postgraduate students in water-wave theory.' C. M. Linton, Contemporary Physics 'This is a well-written book that is a pleasure to read.' T. R. Akylas, European Journal of Mechanics

Mathematical preliminaries
Some classical problems in water-wave theory
Weakly nonlinear dispersive waves
Slow modulation of dispersive waves
Epilogue
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521598323
ISBN-10: 052159832X
Series: Cambridge Texts in Applied Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 464
Published: 9th February 1998
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.5 x 15.88  x 2.54
Weight (kg): 0.64