Water Waves : Relating Modern Theory to Advanced Engineering Applications

ISBN-13: 9780198534785 / Angielski

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Opis

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.

Recenzje

'This book is well written and can be easily read. It is self-contained in that all of the mathematical tools and equations the reader needs can be found in the book. It is of interest to a wide audience in the science community: mathematicians, physicists, and engineers. Any reader would have to refer to numerous other book s to get all the information found here... I recommend this book to anyone who wishes to learn more about water waves and who has some fluid mechanics and applied mathematics background. It is a valuable book to have in one's library if one is interested in wave phenomena...' Anne C. Morlet, SIAM Review, Vol. 39 No. 1, March 1997