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Differential Geometry From a Singularity Theory Viewpoint

Differential Geometry From a Singularity Theory Viewpoint
Date: October 29th, 2015
Сategory: Mathematics
ISBN: 9814590444
Language: English
Number of pages: 256 pages
Format: EPUB True PDF
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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