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Differential Geometry From A Singularity Theory Viewpoint
Shyuichi IzumiyaMaria Del Carmen Romero FusterMaria Aparecida Soares RuasFarid Tari
出版World Scientific, 2015-10-29
主題Mathematics / Geometry / DifferentialMathematics / ResearchMathematics / Topology
ISBN98145904609789814590464
URLhttp://books.google.com.hk/books?id=T2_FCwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.