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Differential Geometry from a Singularity Theory Viewpoint provides
a new look at the fascinating and classical subject of the
differential geometry of surfaces in Euclidean spaces. The book
uses singularity theory to capture some key geometric features of
surfaces. It describes the theory of contact and its link with the
theory of caustics and wavefronts. It then uses the powerful
techniques of these theories to deduce geometric information about
surfaces embedded in 3, 4 and 5-dimensional Euclidean spaces. The
book also includes recent work of the authors and their
collaborators on the geometry of sub-manifolds in Minkowski spaces.
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