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DIFFERENTIAL GEOMETRY FROM A SINGULARITY THEORY VIEWPOINT,Used
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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 5dimensional Euclidean spaces. The book also includes recent work of the authors and their collaborators on the geometry of submanifolds in Minkowski spaces.Readership: Advanced undergraduates and postgraduate students, and researchers in the fields of differential geometry and singularity theory.
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