Differential Geometry from Singularity Theory Viewpoint

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

ISBN 10: 9814590444 / ISBN 13: 9789814590440

Published by World Scientific Publishing Co, 2015

Unread book in perfect condition. Seller Inventory # 23957876

Synopsis:

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.

Readership: Advanced undergraduates and post-graduate students, and researchers in the fields of differential geometry and singularity theory.

From the Back Cover: 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.

Bibliographic Details

Title: Differential Geometry from Singularity ...
Publisher: World Scientific Publishing Co
Publication Date: 2015
Binding: Hardcover
Condition: As New