Introdução ao estudo dos fractais
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFG |
Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tede/3879 |
Resumo: | This work was developed with the aim of studying fractals with their characteristics - self - similarity, in nite complexity and fractional dimension . In this sense , we study some geometric fractals whose approaches can be built on paper , and other fractals which the complexity of formation can only be represented and generated by means of computational resource. Thus, for the realization fo this work was done a literature research of this subject complemented with the calculation data only indicated in his references . We also cited some examples of applications of fractal geometry giving up deepening the theme would require the scope of scienti c research , but on the other hand have the merit of fractal geometry as a tool to analyse the world in which we live. We can see in this work the importance of fractal geometry , that is a geometry of complex structures with unique properties and linked to forms of nature that di ers in several aspects from traditional geometry. |
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Santos, Fabiano Fortunato Teixeira doshttp://lattes.cnpq.br/6866594296187427Santos, Fabiano Fortunato Teixeira dosSeimetz, RuiPina, Romildo da Silvahttp://lattes.cnpq.br/9412621755536848Negri, Marília Gomes2015-01-14T14:12:43Z2014-08-01NEGRI, Marília Gomes. Introdução ao estudo dos fractais. 2014. 60 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2014.http://repositorio.bc.ufg.br/tede/handle/tede/3879This work was developed with the aim of studying fractals with their characteristics - self - similarity, in nite complexity and fractional dimension . In this sense , we study some geometric fractals whose approaches can be built on paper , and other fractals which the complexity of formation can only be represented and generated by means of computational resource. Thus, for the realization fo this work was done a literature research of this subject complemented with the calculation data only indicated in his references . We also cited some examples of applications of fractal geometry giving up deepening the theme would require the scope of scienti c research , but on the other hand have the merit of fractal geometry as a tool to analyse the world in which we live. We can see in this work the importance of fractal geometry , that is a geometry of complex structures with unique properties and linked to forms of nature that di ers in several aspects from traditional geometry.Este trabalho foi desenvolvido com o objetivo de estudar os fractais com suas caracter ísticas - auto-semelhança, complexidade in nita e dimensão fracionada. Nesse sentido, estudamos alguns fractais geométricos cujas aproximações podem ser construídas em papel, e outros fractais nos quais sua complexidade de formação só pode ser representada e gerada por meio de recurso computacionais. Dessa forma, para realização deste trabalho foi feito um levantamento bibliográ co deste assunto complementado com o cálculo de dados apenas indicados em suas referências. Procuramos também, citar alguns exemplos de aplicações da geometria fractal abrindo mão do aprofundamento que o tema exigiria no escopo de uma pesquisa cientí ca, mas que por outro lado apresentam o mérito de colocar a geometria fractal como uma ferramenta para analisar o mundo onde vivemos. Podemos constatar no decorrer deste trabalho a importância da Geometria Fractal, ou seja, uma geometria de estruturas complexas, com propriedades exclusivas e ligada às formas da natureza e que diferencia em vários aspectos da geometria tradicional.Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2015-01-14T13:36:25Z No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Dissertação - Marília Gomes Negri - 2014.pdf: 4966490 bytes, checksum: 2bf5278c0fe3b2a2ede7195a75c3584e (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2015-01-14T14:12:43Z (GMT) No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Dissertação - Marília Gomes Negri - 2014.pdf: 4966490 bytes, checksum: 2bf5278c0fe3b2a2ede7195a75c3584e (MD5)Made available in DSpace on 2015-01-14T14:12:43Z (GMT). No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Dissertação - Marília Gomes Negri - 2014.pdf: 4966490 bytes, checksum: 2bf5278c0fe3b2a2ede7195a75c3584e (MD5) Previous issue date: 2014-08-01Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESapplication/pdfhttp://repositorio.bc.ufg.br/tede/retrieve/14540/Disserta%c3%a7%c3%a3o%20-%20Mar%c3%adlia%20Gomes%20Negri%20-%202014.pdf.jpgporUniversidade Federal de GoiásPrograma de Pós-graduação em PROFMAT (RG)UFGBrasilInstituto de Matemática e Estatística - IME (RG)http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessPropriedades fractaisAplicaçõesFractal propertiesApplicationsCIENCIAS EXATAS E DA TERRA::MATEMATICAIntrodução ao estudo dos fractaisIntroduction to the study of fractalsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis5637905143957969341600600600600-4268777512335152015-70908234179844016942075167498588264571reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGORIGINALDissertação - Marília Gomes Negri - 2014.pdfDissertação - Marília Gomes Negri - 2014.pdfapplication/pdf4966490http://repositorio.bc.ufg.br/tede/bitstreams/5c707fca-436b-4394-9284-f24edc860f69/download2bf5278c0fe3b2a2ede7195a75c3584eMD52LICENSElicense.txtlicense.txttext/plain; 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dc.title.por.fl_str_mv |
Introdução ao estudo dos fractais |
dc.title.alternative.eng.fl_str_mv |
Introduction to the study of fractals |
title |
Introdução ao estudo dos fractais |
spellingShingle |
Introdução ao estudo dos fractais Negri, Marília Gomes Propriedades fractais Aplicações Fractal properties Applications CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Introdução ao estudo dos fractais |
title_full |
Introdução ao estudo dos fractais |
title_fullStr |
Introdução ao estudo dos fractais |
title_full_unstemmed |
Introdução ao estudo dos fractais |
title_sort |
Introdução ao estudo dos fractais |
author |
Negri, Marília Gomes |
author_facet |
Negri, Marília Gomes |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Santos, Fabiano Fortunato Teixeira dos |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/6866594296187427 |
dc.contributor.referee1.fl_str_mv |
Santos, Fabiano Fortunato Teixeira dos |
dc.contributor.referee2.fl_str_mv |
Seimetz, Rui |
dc.contributor.referee3.fl_str_mv |
Pina, Romildo da Silva |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/9412621755536848 |
dc.contributor.author.fl_str_mv |
Negri, Marília Gomes |
contributor_str_mv |
Santos, Fabiano Fortunato Teixeira dos Santos, Fabiano Fortunato Teixeira dos Seimetz, Rui Pina, Romildo da Silva |
dc.subject.por.fl_str_mv |
Propriedades fractais Aplicações |
topic |
Propriedades fractais Aplicações Fractal properties Applications CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Fractal properties Applications |
dc.subject.cnpq.fl_str_mv |
CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
This work was developed with the aim of studying fractals with their characteristics - self - similarity, in nite complexity and fractional dimension . In this sense , we study some geometric fractals whose approaches can be built on paper , and other fractals which the complexity of formation can only be represented and generated by means of computational resource. Thus, for the realization fo this work was done a literature research of this subject complemented with the calculation data only indicated in his references . We also cited some examples of applications of fractal geometry giving up deepening the theme would require the scope of scienti c research , but on the other hand have the merit of fractal geometry as a tool to analyse the world in which we live. We can see in this work the importance of fractal geometry , that is a geometry of complex structures with unique properties and linked to forms of nature that di ers in several aspects from traditional geometry. |
publishDate |
2014 |
dc.date.issued.fl_str_mv |
2014-08-01 |
dc.date.accessioned.fl_str_mv |
2015-01-14T14:12:43Z |
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 |
NEGRI, Marília Gomes. Introdução ao estudo dos fractais. 2014. 60 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2014. |
dc.identifier.uri.fl_str_mv |
http://repositorio.bc.ufg.br/tede/handle/tede/3879 |
identifier_str_mv |
NEGRI, Marília Gomes. Introdução ao estudo dos fractais. 2014. 60 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2014. |
url |
http://repositorio.bc.ufg.br/tede/handle/tede/3879 |
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por |
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por |
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5637905143957969341 |
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600 600 600 600 |
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Universidade Federal de Goiás |
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UFG |
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Brasil |
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Instituto de Matemática e Estatística - IME (RG) |
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Universidade Federal de Goiás |
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