Water Waves: The Mathematical Theory With Applications
by J. J. Stoker
Publisher: Interscience Publishers 1957
Number of pages: 609
Offers an integrated account of the mathematical hypothesis of wave motion in liquids with a free surface, subjected to gravitational and other forces. Uses both potential and linear wave equation theories, together with applications such as the Laplace and Fourier transform methods, conformal mapping and complex variable techniques in general or integral equations, methods employing a Green's function.
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The wave is a physical phenomenon that is found in a variety of contexts. The purpose of this text is to describe the kinematics of waves, i.e., to provide tools for describing the form and motion of all waves irrespective of their mechanisms.
by Janusz Krodkiewski
Introduction to the theory of vibrations of mechanical systems. First part, Modelling and Analysis, is devoted to this solution that can be approximated by the linear models. The second part is on experimental investigations.
by Benjamin Crowell - lightandmatter.com
This is a text on vibrations and waves for an introductory college physics class. The treatment is algebra-based, with optional sections of calculus applications. This book is part of the Light and Matter series of introductory physics textbooks.
by G.B. Whitham - Tata Institute of Fundamental Research
The first three chapters provide basic background on the theory of characteristics and shock waves. The main content is an entirely new presentation. It is on water waves, with special emphasis on old and new results for waves on a sloping beach.