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Differential Geometry from a Singularity Theory Viewpoint
Hardcover
ISBN13: 9789814590440
Publisher: World Scientific Publishing Company
Published: Jan 30 2016
Pages: 384
Weight: 1.50
Height: 1.00 Width: 6.20 Depth: 9.10
Language: English
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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