Differential Geometry From A Singularity Theory Viewpoint - Hardcover

Izumiya Shyuichi Et Al

 
9789814590440: Differential Geometry From A Singularity Theory Viewpoint
Hardcover
ISBN 10: 9814590444 ISBN 13: 9789814590440
Publisher: World Scientific Publishing Company, 2015

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.

"synopsis" may belong to another edition of this title.

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.

"About this title" may belong to another edition of this title.

Publisher
World Scientific Publishing Company
Publication date
2015
Language
English
ISBN 10 
9814590444
ISBN 13 
9789814590440
Binding
Hardcover
Number of pages
384