Funções: propriedades algébricas, geométricas e suas relações
Autor(a) principal: | |
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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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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 |
format |
masterThesis |
status_str |
publishedVersion |
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 |
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