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This volume§brings together four lecture courses on modern aspects of water waves. The§intention, through the lectures, is to present quite a range of mathematical§ideas, primarily to show what is possible and what, currently, is of particular§interest.§§Water waves§of large amplitude can only be fully understood in terms of nonlinear effects,§linear theory being not adequate for their description. Taking advantage of§insights from physical observation, experimental evidence and numerical§simulations, classical and modern mathematical approaches can be used to gain§insight into their dynamics. The book presents several avenues and offers a§wide range of material of current interest. §§The§lectures provide a useful source for those who want to begin to investigate how§mathematics can be used to improve our understanding of water wave phenomena.§In addition, some of the material can be used by those who are already familiar§with one branch of the study of water waves, to learn more about other areas.
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