Álgebra Geométrica no Ensino Médio

Detalhes bibliográficos
Ano de defesa: 2022
Autor(a) principal: Morais Junior, Marcio Oliveira de [UNIFESP]
Orientador(a): Kaufmann, Pedro Levit
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
dARK ID: ark:/48912/001300001nm27
Idioma: por
Instituição de defesa: Universidade Federal de São Paulo
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Link de acesso: https://hdl.handle.net/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 http://lattes.cnpq.br/8727534264118677Morais Junior, Marcio Oliveira de [UNIFESP]Kaufmann, Pedro LevitSão José dos Campos2022-06-27T19:21:54Z2022-06-27T19:21:54Z2022-02-25Apresentamos 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.https://hdl.handle.net/11600/64002ark:/48912/001300001nm27porUniversidade Federal de São Pauloinfo:eu-repo/semantics/openAccessÁlgebra GeométricaÁlgebra de CliffordMultivetoresBladesEnsino MédioÁlgebra Geométrica no Ensino MédioGeometric Algebra in High Schoolinfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/publishedVersionreponame: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; 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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
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/11600/64002
dc.identifier.dark.fl_str_mv ark:/48912/001300001nm27
url https://hdl.handle.net/11600/64002
identifier_str_mv ark:/48912/001300001nm27
dc.language.iso.fl_str_mv por
language por
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 64 f.
dc.coverage.spatial.pt_BR.fl_str_mv São José dos Campos
dc.publisher.none.fl_str_mv Universidade Federal de São Paulo
publisher.none.fl_str_mv Universidade Federal de São Paulo
dc.source.none.fl_str_mv reponame:Repositório Institucional da UNIFESP
instname:Universidade Federal de São Paulo (UNIFESP)
instacron:UNIFESP
instname_str Universidade Federal de São Paulo (UNIFESP)
instacron_str UNIFESP
institution UNIFESP
reponame_str Repositório Institucional da UNIFESP
collection Repositório Institucional da UNIFESP
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