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At the summer school in Pisa in September 1996, Luigi Ambrosio and
Norman Dancer each gave a course on the geometric problem of
evolution of a surface by mean curvature, and degree theory with
applications to PDEs respectively. This self-contained presentation
accessible to PhD students bridged the gap between standard courses
and advanced research on these topics. The resulting book is
divided accordingly into 2 parts, and neatly illustrates the 2-way
interaction of problems and methods. Each of the courses is
augmented and complemented by additional short chapters by other
authors describing current research problems and results.
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