Álgebra Geométrica no Ensino Médio

Detalhes bibliográficos
Autor(a) principal: Morais Junior, Marcio Oliveira de [UNIFESP]
Data de Publicação: 2022
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UNIFESP
Texto Completo: https://repositorio.unifesp.br/xmlui/handle/11600/64002
Resumo: Apresentamos as Álgebras Geométricas (ou de Clifford) com o intuito de minimizar a dicotomia Geometria-Álgebra. Apresentamos tais Álgebras Geométricas sobre Rn de maneira axiomática e exploramos interpretações geométricas de objetos centrais desse formalismo. No caso n = 2 apresentamos aplicações da álgebra a nível do Ensino Médio.
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spelling Morais Junior, Marcio Oliveira de [UNIFESP]http://lattes.cnpq.br/8727534264118677Kaufmann, Pedro LevitSão José dos Campos2022-06-27T19:21:54Z2022-06-27T19:21:54Z2022-02-25https://repositorio.unifesp.br/xmlui/handle/11600/64002Apresentamos as Álgebras Geométricas (ou de Clifford) com o intuito de minimizar a dicotomia Geometria-Álgebra. Apresentamos tais Álgebras Geométricas sobre Rn de maneira axiomática e exploramos interpretações geométricas de objetos centrais desse formalismo. No caso n = 2 apresentamos aplicações da álgebra a nível do Ensino Médio.We present Geometric Algebra (or Clifford Algebra) as a powerful formalism able to minimize the Geometry-Algebra dichotomy. We present those Geometric Algebras over Rn through an axiomatic approach and explore geometric interpretations of the main objects of this formalism. Also, we present applications of those algebras with n = 2 for High School.Não recebi financiamento64 f.porUniversidade Federal de São PauloÁlgebra GeométricaÁlgebra de CliffordMultivetoresBladesEnsino MédioÁlgebra Geométrica no Ensino MédioGeometric Algebra in High Schoolinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNIFESPinstname:Universidade Federal de São Paulo (UNIFESP)instacron:UNIFESPInstituto de Ciência e Tecnologia (ICT)Mestrado Profissional em Matemática em Rede Nacional (PROFMAT-SJC)LICENSElicense.txtlicense.txttext/plain; charset=utf-85789${dspace.ui.url}/bitstream/11600/64002/2/license.txt5b70749a76b27e0d89aa4c5ac79841a5MD52open accessORIGINAL20220508_ALGEBRAGEOMETRICANOENSINOMEDIO.pdf20220508_ALGEBRAGEOMETRICANOENSINOMEDIO.pdfapplication/pdf2986878${dspace.ui.url}/bitstream/11600/64002/1/20220508_ALGEBRAGEOMETRICANOENSINOMEDIO.pdf739661d3ead70d2b874ce95f29f9f688MD51open 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dc.title.pt_BR.fl_str_mv Álgebra Geométrica no Ensino Médio
dc.title.alternative.pt_BR.fl_str_mv Geometric Algebra in High School
title Álgebra Geométrica no Ensino Médio
spellingShingle Álgebra Geométrica no Ensino Médio
Morais Junior, Marcio Oliveira de [UNIFESP]
Álgebra Geométrica
Álgebra de Clifford
Multivetores
Blades
Ensino Médio
title_short Álgebra Geométrica no Ensino Médio
title_full Álgebra Geométrica no Ensino Médio
title_fullStr Álgebra Geométrica no Ensino Médio
title_full_unstemmed Álgebra Geométrica no Ensino Médio
title_sort Álgebra Geométrica no Ensino Médio
author Morais Junior, Marcio Oliveira de [UNIFESP]
author_facet Morais Junior, Marcio Oliveira de [UNIFESP]
author_role author
dc.contributor.advisorLattes.pt_BR.fl_str_mv http://lattes.cnpq.br/8727534264118677
dc.contributor.author.fl_str_mv Morais Junior, Marcio Oliveira de [UNIFESP]
dc.contributor.advisor1.fl_str_mv Kaufmann, Pedro Levit
contributor_str_mv Kaufmann, Pedro Levit
dc.subject.por.fl_str_mv Álgebra Geométrica
Álgebra de Clifford
Multivetores
Blades
Ensino Médio
topic Álgebra Geométrica
Álgebra de Clifford
Multivetores
Blades
Ensino Médio
description Apresentamos as Álgebras Geométricas (ou de Clifford) com o intuito de minimizar a dicotomia Geometria-Álgebra. Apresentamos tais Álgebras Geométricas sobre Rn de maneira axiomática e exploramos interpretações geométricas de objetos centrais desse formalismo. No caso n = 2 apresentamos aplicações da álgebra a nível do Ensino Médio.
publishDate 2022
dc.date.accessioned.fl_str_mv 2022-06-27T19:21:54Z
dc.date.available.fl_str_mv 2022-06-27T19:21:54Z
dc.date.issued.fl_str_mv 2022-02-25
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publisher.none.fl_str_mv Universidade Federal de São Paulo
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collection Repositório Institucional da UNIFESP
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repository.name.fl_str_mv Repositório Institucional da UNIFESP - Universidade Federal de São Paulo (UNIFESP)
repository.mail.fl_str_mv
_version_ 1783460237196394496

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