Differential Geometry from a Singularity Theory Viewpoint.

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Differential Geometry from a Singularity Theory Viewpoint.

Name: Differential Geometry from a Singularity Theory Viewpoint.
ISBN: 9789814590440

Shyuichi Izumiya, Maria del Carmen Romero Fuster, Maria Aparecida Soares Ruas, Farid Tari

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Differential Geometry from 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 wave fronts. 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.

种类:

Mathematics
Mathematics - Geometry and Topology

年:

2015

出版社:

World Scientific Publishing Company

语言:

english

页:

383

ISBN 10:

9814590444