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Differential geometry from singularity theory viewpoint /

"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 c...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Izumiya, Shyuichi
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Jersey : World Scientific, [2016]
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:"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."--
Descripción Física:1 online resource (xiii, 368 pages)
Bibliografía:Includes bibliographical references and index.
ISBN:9789814590457
9814590452