This volumebrings together four lecture courses on modern aspects of water waves. Theintention
through the lectures is to present quite a range of mathematicalideas primarily to show what
is possible and what currently is of particularinterest. Water wavesof large amplitude can
only be fully understood in terms of nonlinear effects linear theory being not adequate for
their description. Taking advantage ofinsights from physical observation experimental evidence
and numericalsimulations classical and modern mathematical approaches can be used to
gaininsight into their dynamics. The book presents several avenues and offers awide range of
material of current interest. Thelectures provide a useful source for those who want to begin
to investigate howmathematics 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 familiarwith
one branch of the study of water waves to learn more about other areas.
