A Modern Introduction to the Mathematical Theory of Water Waves (Cambridge Texts in Applied Mathematics Book 19) 1st Edition by R. S. Johnson (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is suitable for understanding the fundamental theory of shallow water waves. The presentation is easy to follow. It helps me with my research in fluid dynamics since it provides interesting topics in shallow water waves. I like this book.

⭐I bought this book as I working the area and I have been very impressed with the level of maths and the scope of the book. An essential book for anyone in the subject. I am puzzled that he doesn’t use the potential formulation more though.

⭐Not found.

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