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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Izumiya, Shyuichi
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Jersey : World Scientific, [2016]
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Differential geometry from singularity theory viewpoint /  |c by Shyuichi Izumiya (Hokkaido University, Japan) [and three others]. 
264 1 |a New Jersey :  |b World Scientific,  |c [2016] 
264 4 |c ©2016 
300 |a 1 online resource (xiii, 368 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references and index. 
505 0 |a The case for the singularity theory approach -- Submaniifolds of the Euclidean space -- Singularities of germs of smooth mappings -- Contract between submanifolds of Rn -- Lagrangian and legendrian singularities -- Surfaces in the Euclidean 3-space -- Surfaces in the Euclidean 4-space -- Surfaces in the Euclidean 5-space -- Spacelike surfaces in the Minkowski space-time -- Global viewpoint. 
588 0 |a Print version record. 
520 |a "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."--  |c Provided by publisher 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Surfaces  |x Areas and volumes. 
650 0 |a Singularities (Mathematics) 
650 0 |a Geometry, Differential. 
650 0 |a Curvature. 
650 6 |a Surfaces (Mathématiques)  |x Aires et volumes. 
650 6 |a Singularités (Mathématiques) 
650 6 |a Géométrie différentielle. 
650 6 |a Courbure. 
650 7 |a MATHEMATICS  |x Geometry  |x General.  |2 bisacsh 
650 7 |a Curvature.  |2 fast  |0 (OCoLC)fst00885436 
650 7 |a Geometry, Differential.  |2 fast  |0 (OCoLC)fst00940919 
650 7 |a Singularities (Mathematics)  |2 fast  |0 (OCoLC)fst01119502 
650 7 |a Surfaces  |x Areas and volumes.  |2 fast  |0 (OCoLC)fst01139258 
700 1 |a Izumiya, Shyuichi,  |3 author. 
776 0 8 |i Print version:  |t Differential geometry from singularity theory viewpoint.  |d New Jersey : World Scientific, 2015  |z 9789814590440  |w (DLC) 2015033184  |w (OCoLC)871511940 
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