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Cambridge Texts in Applied Mathematics #0019: A Modern Introduction to the Mathematical Theory of Water Waves

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Cambridge Texts in Applied Mathematics #0019: A Modern Introduction to the Mathematical Theory of Water Waves Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

The theory of water waves has been a source of intriguing and oftendifficult mathematical problems for at least 150 years. This text briefly discusses fluid mechanics. It then considers the classical problems in linear and non-linear water-wave theory, as well as more modern aspects — problems that give rise to soliton-type equations. Lastly it examines the effects of viscosity. All the mathematical developments are presented in a straightforward manner. Exercises, further reading, and historical notes make this an ideal text for graduate students.

Synopsis:

This text considers classical and modern problems in linear and non-linear water-wave theory.

Table of Contents

1. Mathematical preliminaries; 2. Some classical problems in water-wave theory; 3. Weakly nonlinear dispersive waves; 4. Slow modulation of dispersive waves; 5. Epilogue.

Product Details

ISBN:
9780521598323
Author:
Johnson, R. S.
Author:
Johnson
Author:
Johnson, Robin Stanley
Author:
Crighton, D. G.
Publisher:
Cambridge University Press
Location:
Cambridge ;
Subject:
Engineering - Mechanical
Subject:
Mathematical Analysis
Subject:
Applied
Subject:
Hydraulics
Subject:
Wave-motion, theory of
Subject:
Water waves
Subject:
Mathematics-Analysis General
Edition Description:
Trade paper
Series:
Cambridge texts in applied mathematics
Series Volume:
10
Publication Date:
20040631
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
68 b/w illus. 249 exercises
Pages:
464
Dimensions:
9.02x6.04x1.05 in. 1.36 lbs.

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Cambridge Texts in Applied Mathematics #0019: A Modern Introduction to the Mathematical Theory of Water Waves New Trade Paper
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Product details 464 pages Cambridge University Press - English 9780521598323 Reviews:
"Synopsis" by , The theory of water waves has been a source of intriguing and oftendifficult mathematical problems for at least 150 years. This text briefly discusses fluid mechanics. It then considers the classical problems in linear and non-linear water-wave theory, as well as more modern aspects — problems that give rise to soliton-type equations. Lastly it examines the effects of viscosity. All the mathematical developments are presented in a straightforward manner. Exercises, further reading, and historical notes make this an ideal text for graduate students.
"Synopsis" by , This text considers classical and modern problems in linear and non-linear water-wave theory.
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