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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...

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Bibliographic Details
Main Authors: Izumiya, Shyuichi (Author)
Corporate Authors: World Scientific (Firm)
Group Author: Fuster, Maria del Varmen Romero (Editor); Ruas, Maria Aparecida Soares; Tari, Farid
Published: World Scientific Publishing Co. Pte Ltd.,
Publisher Address: Singapore :
Publication Dates: 2016.
Literature type: eBook
Language: English
Subjects:
Surfaces > Areas and volumes.
Singularities (Mathematics)
Geometry, Differential.
Curvature.
Electronic books.
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/9108#t=toc
Summary: "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."--
Item Description: Title from PDF file title page (viewed December 7, 2015).
Carrier Form: 1 online resource (xiv, 368 pages) : illustrations (some color)
Bibliography: Includes bibliographical references (pages 347-362) and index.
ISBN: 9789814590457 (ebook)
Index Number: QA645
CLC: O186.1

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