
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.
This text investigates the mathematical and physical foundations of water wave theory to bridge the gap between theoretical derivation and practical engineering application. Author Matiur Rahman, drawing on his expertise in applied mathematics, provides a structured framework that guides the reader from fundamental differential equations to complex nonlinear wave phenomena. The book utilizes a rigorous pedagogical approach to ensure that students and professionals can apply these theoretical models to real-world engineering challenges.
What You Will Find
Experts and educators recognize this text as a foundational resource for students entering the field of fluid mechanics. Readers frequently note the clarity of the mathematical derivations and the utility of the included exercises for academic study.
Page Count:
360
Publication Date:
1995-03-02
Publisher:
Clarendon Press
ISBN-10:
0198534787
ISBN-13:
9780198534785
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