Financial Mathematics is an exciting, emerging field of application. The
five sets of course notes in this book provide a bird's eye view of the
current "state of the art" and directions of research. For graduate
students it will therefore serve as an introduction to the field while
reseachers will find it a compact source of reference. The reader is
expected to have a good knowledge of the basic mathematical tools
corresponding to an introductory graduate level and sufficient
familiarity with probabilistic methods, in particular stochastic
analysis.