Introdução à análise convexa: conjuntos e funções convexas

Detalhes bibliográficos
Autor(a) principal: Amorim, Ronan Gomes de
Data de Publicação: 2013
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
dARK ID: ark:/38995/0013000004k1t
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/3304
Resumo: This paper presents the main ideas concerning convex sets and functions. Our aim is to deal, didactically, with the main topics concerning convexity, as well as the consequent exploitation of the envolved mathematical concepts. In this sense, we have made a bibliographic revision approaching important theorems, lemmas, corollaries and propositions designed both to first readers and to those who want to work with applications arising from convexity. We hope that this study may constitute an important research source either for students, teachers or researchers who wish to learn more about convex sets.
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spelling Cruz, José Yunier Bellohttp://lattes.cnpq.br/8377200040018415Sandoval, Wilfredo SosaCruz, José Yunier BelloPérez, Luis Román LucambioAmorim, Ronan Gomes de2014-10-09T11:22:45Z2013-03-18AMORIM, Ronan Gomes de. Introdução à análise convexa: conjuntos e funções convexas. 2013. 82 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2013.http://repositorio.bc.ufg.br/tede/handle/tede/3304ark:/38995/0013000004k1tThis paper presents the main ideas concerning convex sets and functions. Our aim is to deal, didactically, with the main topics concerning convexity, as well as the consequent exploitation of the envolved mathematical concepts. In this sense, we have made a bibliographic revision approaching important theorems, lemmas, corollaries and propositions designed both to first readers and to those who want to work with applications arising from convexity. We hope that this study may constitute an important research source either for students, teachers or researchers who wish to learn more about convex sets.Neste trabalho, apresentamos as principais ideias concernentes aos conjuntos convexos e às funções convexas. Nosso principal foco é tratar, de forma didática, os principais tópicos envolvidos na convexidade, bem como a consequente exploração dos conceitos matemáticos envolvidos. Nesse sentido, realizamos uma revisão bibliográfica que contemplou teoremas, lemas, corolários e proposições relevantes a um primeiro leitor e a todos que pretendem trabalhar com as aplicações decorrentes da convexidade. Assim, esperamos que este material constitua uma importante fonte de pesquisa a estudantes, professores e pesquisadores que almejem estudar conteúdos relacionados aos conjuntos convexos.Submitted by Erika Demachki (erikademachki@gmail.com) on 2014-10-08T19:52:23Z No. of bitstreams: 2 Dissertação - Ronan Gomes de Amorim - 2013.pdf: 1551424 bytes, checksum: 2acf9af7fdc161d745d9a1fcf58ba4b0 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2014-10-09T11:22:45Z (GMT) No. of bitstreams: 2 Dissertação - Ronan Gomes de Amorim - 2013.pdf: 1551424 bytes, checksum: 2acf9af7fdc161d745d9a1fcf58ba4b0 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Made available in DSpace on 2014-10-09T11:22:45Z (GMT). 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dc.title.por.fl_str_mv Introdução à análise convexa: conjuntos e funções convexas
dc.title.alternative.eng.fl_str_mv Introduction to convex analysis: convex sets and functions
title Introdução à análise convexa: conjuntos e funções convexas
spellingShingle Introdução à análise convexa: conjuntos e funções convexas
Amorim, Ronan Gomes de
Conjuntos convexos
Funções convexas
Convexidade
Convex sets
Convex functions
Convexity
MATEMATICA::MATEMATICA APLICADA
title_short Introdução à análise convexa: conjuntos e funções convexas
title_full Introdução à análise convexa: conjuntos e funções convexas
title_fullStr Introdução à análise convexa: conjuntos e funções convexas
title_full_unstemmed Introdução à análise convexa: conjuntos e funções convexas
title_sort Introdução à análise convexa: conjuntos e funções convexas
author Amorim, Ronan Gomes de
author_facet Amorim, Ronan Gomes de
author_role author
dc.contributor.advisor1.fl_str_mv Cruz, José Yunier Bello
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/8377200040018415
dc.contributor.referee1.fl_str_mv Sandoval, Wilfredo Sosa
dc.contributor.referee2.fl_str_mv Cruz, José Yunier Bello
dc.contributor.referee3.fl_str_mv Pérez, Luis Román Lucambio
dc.contributor.author.fl_str_mv Amorim, Ronan Gomes de
contributor_str_mv Cruz, José Yunier Bello
Sandoval, Wilfredo Sosa
Cruz, José Yunier Bello
Pérez, Luis Román Lucambio
dc.subject.por.fl_str_mv Conjuntos convexos
Funções convexas
Convexidade
topic Conjuntos convexos
Funções convexas
Convexidade
Convex sets
Convex functions
Convexity
MATEMATICA::MATEMATICA APLICADA
dc.subject.eng.fl_str_mv Convex sets
Convex functions
Convexity
dc.subject.cnpq.fl_str_mv MATEMATICA::MATEMATICA APLICADA
description This paper presents the main ideas concerning convex sets and functions. Our aim is to deal, didactically, with the main topics concerning convexity, as well as the consequent exploitation of the envolved mathematical concepts. In this sense, we have made a bibliographic revision approaching important theorems, lemmas, corollaries and propositions designed both to first readers and to those who want to work with applications arising from convexity. We hope that this study may constitute an important research source either for students, teachers or researchers who wish to learn more about convex sets.
publishDate 2013
dc.date.issued.fl_str_mv 2013-03-18
dc.date.accessioned.fl_str_mv 2014-10-09T11:22:45Z
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dc.identifier.citation.fl_str_mv AMORIM, Ronan Gomes de. Introdução à análise convexa: conjuntos e funções convexas. 2013. 82 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2013.
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identifier_str_mv AMORIM, Ronan Gomes de. Introdução à análise convexa: conjuntos e funções convexas. 2013. 82 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2013.
ark:/38995/0013000004k1t
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dc.publisher.department.fl_str_mv Instituto de Matemática e Estatística - IME (RG)
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