Water Waves: Relating Modern Theory to Advanced Engineering Applications

Water Waves: Relating Modern Theory to Advanced Engineering Applications

by Matiur Rahman
     
 

ISBN-10: 0198534787

ISBN-13: 9780198534785

Pub. Date: 03/02/1995

Publisher: Oxford University Press, USA

Self-contained and accessible, Water Waves provides an up-to-date introduction to the mathematical and physical aspects of water wave theory. Written particularly for undergraduates engineering, physics, and mathematics students, the book contains a wealth of examples and exercises. It begins with the derivations of the fundamental mathematical equations, outlining

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Overview

Self-contained and accessible, Water Waves provides an up-to-date introduction to the mathematical and physical aspects of water wave theory. Written particularly for undergraduates engineering, physics, and mathematics students, the book contains a wealth of examples and exercises. It begins with the derivations of the fundamental mathematical equations, outlining differential equations appropriate for the description of physical phenomena. It goes on to detail the development of wave equations (including the essential boundary conditions), and to describe small amplitude wave theory, finite amplitude wave theory, tidal dynamics in shallow water, wave statistics and the wave energy spectrum, and nonlinear long waves in shallow water. The book concludes with a description of the inverse scattering technique used to solve solitary wave problems. Rigorous and coherent, Water Waves is ideal for students and professionals approaching the subject for the first time.

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Product Details

ISBN-13:
9780198534785
Publisher:
Oxford University Press, USA
Publication date:
03/02/1995
Series:
Institute of Mathematics and its Applications Monograph Series, #3
Edition description:
New Edition
Pages:
360
Product dimensions:
6.38(w) x 9.50(h) x 0.99(d)

Table of Contents

PART I: Basic Fluid Mechanics and Solution Techniques
1. Introduction
2. Fundamental Equations of Motion of Fluids
3. Solution Techniques of Partial Differential Equations
PART II: Water Waves
4. Theory of Surface Waves
5. Finite Amplitude Waves
6. One-Dimensional Tidal Dynamics
7. Wave Statistics and Spectral Method
PART III: Advanced Water Waves
8. Wave Forces on Offshore Structures
9. Nonlinear Long Waves in Shallow Water
10. Inverse Scattering Transforms and the Theory of Solitons

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