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Differential Geometry From A Singularity Theory Viewpoint

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Title: Differential Geometry From A Singularity Theory Viewpoint
Description: 'The present book has been enriched by including, in the Notes of each chapter, other aspects and studies on the topics in questions and by providing a wide list of references. The book will be a helpful tool for researchers interested in the field and in particular, in the study of the differential geometry of singular submanifolds of Euclidean and Minkowski spaces.'European Mathematical SocietyDifferential 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.
Authors: Shyuichi Izumiya, Maria Del Carmen Romero Fuster, Maria Aparecida Soares Ruas, Farid Tari
Resource Type: eBook.
Subjects: Singularities (Mathematics), Surfaces--Areas and volumes, Curvature, Geometry, Differential
Categories: MATHEMATICS / Geometry / Differential, MATHEMATICS / Research, MATHEMATICS / Topology
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
  – Type: ebook-epub
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1091519
RelevancyScore: 1070
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1070.4580078125
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  Data: Differential Geometry From A Singularity Theory Viewpoint
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  Data: 'The present book has been enriched by including, in the Notes of each chapter, other aspects and studies on the topics in questions and by providing a wide list of references. The book will be a helpful tool for researchers interested in the field and in particular, in the study of the differential geometry of singular submanifolds of Euclidean and Minkowski spaces.'European Mathematical SocietyDifferential 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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  Data: <searchLink fieldCode="AR" term="%22Shyuichi+Izumiya%22">Shyuichi Izumiya</searchLink><br /><searchLink fieldCode="AR" term="%22Maria+Del+Carmen+Romero+Fuster%22">Maria Del Carmen Romero Fuster</searchLink><br /><searchLink fieldCode="AR" term="%22Maria+Aparecida+Soares+Ruas%22">Maria Aparecida Soares Ruas</searchLink><br /><searchLink fieldCode="AR" term="%22Farid+Tari%22">Farid Tari</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Singularities+%28Mathematics%29%22">Singularities (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Surfaces--Areas+and+volumes%22">Surfaces--Areas and volumes</searchLink><br /><searchLink fieldCode="DE" term="%22Curvature%22">Curvature</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%2C+Differential%22">Geometry, Differential</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 516.36
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Singularities (Mathematics)
        Type: general
      – SubjectFull: Surfaces--Areas and volumes
        Type: general
      – SubjectFull: Curvature
        Type: general
      – SubjectFull: Geometry, Differential
        Type: general
    Titles:
      – TitleFull: Differential Geometry From A Singularity Theory Viewpoint
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Shyuichi Izumiya
      – PersonEntity:
          Name:
            NameFull: Maria Del Carmen Romero Fuster
      – PersonEntity:
          Name:
            NameFull: Maria Aparecida Soares Ruas
      – PersonEntity:
          Name:
            NameFull: Farid Tari
      – PersonEntity:
          Name:
            NameFull: Shyuichi Izumiya
      – PersonEntity:
          Name:
            NameFull: Maria Del Carmen Romero Fuster
      – PersonEntity:
          Name:
            NameFull: Maria Aparecida Soares Ruas
      – PersonEntity:
          Name:
            NameFull: Farid Tari
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2016
            – D: 10
              M: 11
              Type: profile
              Y: 2015
          Identifiers:
            – Type: isbn-print
              Value: 9789814590440
            – Type: isbn-electronic
              Value: 9789814590457
            – Type: isbn-electronic
              Value: 9789814590464
          Titles:
            – TitleFull: Differential Geometry From A Singularity Theory Viewpoint
              Type: main
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