Introdução ao estudo dos fractais

Detalhes bibliográficos
Autor(a) principal: Negri, Marília Gomes
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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spelling 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). 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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
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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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dc.publisher.country.fl_str_mv Brasil
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publisher.none.fl_str_mv Universidade Federal de Goiás
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