Funções: propriedades algébricas, geométricas e suas relações

Detalhes bibliográficos
Autor(a) principal: Lima, Mylena Pasquêwitti
Data de Publicação: 2021
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/11873
Resumo: The contents of functions is considered one of the most important within Mathematics, as it is present from its simplest aspects to the most complex mathematical modeling. In this sense, during the course of the work, we discuss in detail various types of functions, covering several of their properties and characteristics, however, here we do emphasize that the purpose of this work is not to exhaust all existing classes, properties and characteristics of functions, only covering those convenient to us. Moreover, through the functions studied, we improve our understanding of the relationship between numerical, algebraic and geometric representations. The work is characterized as a bibliographic research, being based on important authors within this area of study. For the development of the work, in addition to the bibliographic research, we also rely on the software GeoGebra as well as on the TikZ programming language, the latter being employed to sketch all the graphs presented, considering that none of them were found ready. Thus, all graphics presented were created by the author.
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spelling Gomes, Alacyr Joséhttp://lattes.cnpq.br/5994366998164007Gomes, Alacyr JoséSouza, Flávio Raimundo deSmith, Ole Peterhttp://lattes.cnpq.br/6288519794196533Lima, Mylena Pasquêwitti2022-01-31T15:36:57Z2022-01-31T15:36:57Z2021-12-21LIMA, M. P. Funções: propriedades algébricas, geométricas e suas relações. 2022. 139 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2021.http://repositorio.bc.ufg.br/tede/handle/tede/11873The contents of functions is considered one of the most important within Mathematics, as it is present from its simplest aspects to the most complex mathematical modeling. In this sense, during the course of the work, we discuss in detail various types of functions, covering several of their properties and characteristics, however, here we do emphasize that the purpose of this work is not to exhaust all existing classes, properties and characteristics of functions, only covering those convenient to us. Moreover, through the functions studied, we improve our understanding of the relationship between numerical, algebraic and geometric representations. The work is characterized as a bibliographic research, being based on important authors within this area of study. For the development of the work, in addition to the bibliographic research, we also rely on the software GeoGebra as well as on the TikZ programming language, the latter being employed to sketch all the graphs presented, considering that none of them were found ready. Thus, all graphics presented were created by the author.O conteúdo de funções é considerado um dos mais importantes dentro da Matemática, visto que está presente desde seus aspectos mais simples até as mais complexas modelagens matemáticas. Nesse sentido, no decorrer do trabalho abordamos detalhadamente sobre vários tipos de funções, abrangendo várias de suas propriedades e características, mas já ressaltamos aqui que o intuito deste trabalho não é esgotar todas as classes, propriedades e características existentes das funções, pois, só abordamos aquelas que nos foram convenientes. E, através destas funções estudadas, compreendemos melhor como se dá a relação entre as representações numéricas, algébricas e geométricas. O trabalho se caracteriza como uma pesquisa bibliográfica, pois está sendo baseados em autores importantes dentro desta área de estudo. Para o desenvolvimento do trabalho, além da pesquisa bibliográfica, estamos também nos apoiando no software GeoGebra e na linguagem de programação TikZ para esboçar todos os gráficos presentes aqui, sendo considerado então que nenhum dos gráficos já foi encontrado pronto, mas sim feitos pela autora.Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2022-01-31T11:06:01Z No. of bitstreams: 2 Dissertação - Mylena Pasquêwitti Lima - 2022.pdf: 58718659 bytes, checksum: 4329843e77a00d3aca9ad99822e85b24 (MD5) license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2022-01-31T15:36:56Z (GMT) No. of bitstreams: 2 Dissertação - Mylena Pasquêwitti Lima - 2022.pdf: 58718659 bytes, checksum: 4329843e77a00d3aca9ad99822e85b24 (MD5) license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5)Made available in DSpace on 2022-01-31T15:36:57Z (GMT). No. of bitstreams: 2 Dissertação - Mylena Pasquêwitti Lima - 2022.pdf: 58718659 bytes, checksum: 4329843e77a00d3aca9ad99822e85b24 (MD5) license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5) Previous issue date: 2021-12-21porUniversidade Federal de GoiásPROFMAT - Programa de Pós-graduação em Matemática em Rede Nacional - Sociedade Brasileira de Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RG)Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessFunçõesTransformações no planoGeoGebraFunctionsPlanar transformationsGeoGebraCIENCIAS EXATAS E DA TERRA::MATEMATICAFunções: propriedades algébricas, geométricas e suas relaçõesFunctions: algebraic, geometric properties and their relationshipsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6950050050027187reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.bc.ufg.br/tede/bitstreams/0eeb8459-d153-462c-b338-c85608eee8d4/download8a4605be74aa9ea9d79846c1fba20a33MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://repositorio.bc.ufg.br/tede/bitstreams/23449391-bc2d-407b-bbc6-e495a1145428/download4460e5956bc1d1639be9ae6146a50347MD52ORIGINALDissertação - Mylena Pasquêwitti Lima - 2022.pdfDissertação - Mylena Pasquêwitti Lima - 2022.pdfapplication/pdf58718659http://repositorio.bc.ufg.br/tede/bitstreams/ff32e4c9-e48d-4457-9084-a494d2741779/download4329843e77a00d3aca9ad99822e85b24MD53tede/118732022-01-31 12:36:57.453http://creativecommons.org/licenses/by-nc-nd/4.0/Attribution-NonCommercial-NoDerivatives 4.0 Internationalopen.accessoai:repositorio.bc.ufg.br:tede/11873http://repositorio.bc.ufg.br/tedeRepositório InstitucionalPUBhttp://repositorio.bc.ufg.br/oai/requesttasesdissertacoes.bc@ufg.bropendoar:2022-01-31T15:36:57Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)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
dc.title.pt_BR.fl_str_mv Funções: propriedades algébricas, geométricas e suas relações
dc.title.alternative.eng.fl_str_mv Functions: algebraic, geometric properties and their relationships
title Funções: propriedades algébricas, geométricas e suas relações
spellingShingle Funções: propriedades algébricas, geométricas e suas relações
Lima, Mylena Pasquêwitti
Funções
Transformações no plano
GeoGebra
Functions
Planar transformations
GeoGebra
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Funções: propriedades algébricas, geométricas e suas relações
title_full Funções: propriedades algébricas, geométricas e suas relações
title_fullStr Funções: propriedades algébricas, geométricas e suas relações
title_full_unstemmed Funções: propriedades algébricas, geométricas e suas relações
title_sort Funções: propriedades algébricas, geométricas e suas relações
author Lima, Mylena Pasquêwitti
author_facet Lima, Mylena Pasquêwitti
author_role author
dc.contributor.advisor1.fl_str_mv Gomes, Alacyr José
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/5994366998164007
dc.contributor.referee1.fl_str_mv Gomes, Alacyr José
dc.contributor.referee2.fl_str_mv Souza, Flávio Raimundo de
dc.contributor.referee3.fl_str_mv Smith, Ole Peter
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/6288519794196533
dc.contributor.author.fl_str_mv Lima, Mylena Pasquêwitti
contributor_str_mv Gomes, Alacyr José
Gomes, Alacyr José
Souza, Flávio Raimundo de
Smith, Ole Peter
dc.subject.por.fl_str_mv Funções
Transformações no plano
GeoGebra
topic Funções
Transformações no plano
GeoGebra
Functions
Planar transformations
GeoGebra
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Functions
Planar transformations
GeoGebra
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description The contents of functions is considered one of the most important within Mathematics, as it is present from its simplest aspects to the most complex mathematical modeling. In this sense, during the course of the work, we discuss in detail various types of functions, covering several of their properties and characteristics, however, here we do emphasize that the purpose of this work is not to exhaust all existing classes, properties and characteristics of functions, only covering those convenient to us. Moreover, through the functions studied, we improve our understanding of the relationship between numerical, algebraic and geometric representations. The work is characterized as a bibliographic research, being based on important authors within this area of study. For the development of the work, in addition to the bibliographic research, we also rely on the software GeoGebra as well as on the TikZ programming language, the latter being employed to sketch all the graphs presented, considering that none of them were found ready. Thus, all graphics presented were created by the author.
publishDate 2021
dc.date.issued.fl_str_mv 2021-12-21
dc.date.accessioned.fl_str_mv 2022-01-31T15:36:57Z
dc.date.available.fl_str_mv 2022-01-31T15:36:57Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
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dc.identifier.citation.fl_str_mv LIMA, M. P. Funções: propriedades algébricas, geométricas e suas relações. 2022. 139 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2021.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/11873
identifier_str_mv LIMA, M. P. Funções: propriedades algébricas, geométricas e suas relações. 2022. 139 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2021.
url http://repositorio.bc.ufg.br/tede/handle/tede/11873
dc.language.iso.fl_str_mv por
language por
dc.relation.program.fl_str_mv 69
dc.relation.confidence.fl_str_mv 500
500
500
dc.relation.department.fl_str_mv 27
dc.relation.cnpq.fl_str_mv 187
dc.rights.driver.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Goiás
dc.publisher.program.fl_str_mv PROFMAT - Programa de Pós-graduação em Matemática em Rede Nacional - Sociedade Brasileira de Matemática (IME)
dc.publisher.initials.fl_str_mv UFG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto de Matemática e Estatística - IME (RG)
publisher.none.fl_str_mv Universidade Federal de Goiás
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFG
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