Modern Introduction to Mathematical Theory of Water Waves
Editorial Reviews
Review
' ... 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
Book Description
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.
Modern Introduction to Mathematical Theory of Water Waves,R. S. Johnson,M. J. Ablowitz,S. H. Davis,E. J. Hinch,A. Iserles,J. Ockendon,P. J. Olver,Cambridge University Press,052159832X,Applied,Hydraulics,Mathematical Analysis,Mathematics,Science/Mathematics,Water waves,Wave-motion, Theory of,Applied mathematics,Fluid mechanics,Technology / Engineering / Mechanical
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