Birendra Nath Mandal, Soumen De
The two authors study the linearised theory of water waves. The linearised theory of water waves assumes that the amplitude of the motion is small compared to the wave length. A large number of boundary conditions such as scattering by thin barriers, scattering by rectangular trench and scattering by a semi-in nite dock are investigated. Energy identities are also covered as well as variable bottom topography. In all cases the dispersion relations are discussed in detail. All the details of the calculations are provided. So the authors emphasize the mathematical and computational techniques. An exhaustive reference list is also provided. The book cannot only be recommended for researchers, but also for graduate students. -Willi-Hans Steeb (Johannesburg), from Zentralblatt MATH 1327 - 1