Wiley Water Waves: The Mathematical Theory with Applications

Explore the mathematical foundations of wave motion with this comprehensive text from the Wiley Classics Library. This book provides an integrated account of how waves move in liquids with a free surface when subjected to gravitational and other forces. By utilizing both potential and linear wave equation theories, it offers a deep look into the physics of oceanography and hydrodynamics. Readers can apply advanced mathematical methods to real-world problems, including Laplace and Fourier transform methods, conformal mapping, and complex variable techniques. The text also covers integral equations and methods employing a Green's function. Whether you are studying fundamental hydrodynamics, waves on sloping beaches, or problems involving waves in shallow water, this volume serves as a detailed resource. It even extends into practical applications such as the motion of ships, making it a valuable asset for those studying Earth Sciences and mathematical physics.