Differential Geometry from a Singularity Theory Viewpoint di Shyuichi Izumiya, Maria Del Carmen Romero Fuster, Maria Aparecida Soares Ruas edito da WSPC
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Differential Geometry from a Singularity Theory Viewpoint

Editore:

WSPC

EAN:

9789814590440

ISBN:

9814590444

Pagine:
384
Formato:
Hardback
Lingua:
Inglese
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Descrizione Differential Geometry from a 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 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.

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