Números complexos e o teorema fundamental da álgebra
Autor(a) principal: | |
---|---|
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/3683 |
Resumo: | The objective of this work is to tell a little bit about the emergence and development of the Fundamental Theorem of Algebra, having as plot the historical context and the formalization of Complex Numbers, which mixes with this theorem. Considering the mathematical rigor in the construction of this subject, which o ered structure for the consolidation of this theorem. This work aims to achieve a more accessible demonstration, due to their necessary presence in high school, but in an axiomatic form. |
id |
UFG-2_d5e71732191003833734016939ef3297 |
---|---|
oai_identifier_str |
oai:repositorio.bc.ufg.br:tede/3683 |
network_acronym_str |
UFG-2 |
network_name_str |
Repositório Institucional da UFG |
repository_id_str |
|
spelling |
Tonon, Durval Joséhttp://lattes.cnpq.br/3688981956532711Tonon, Durval JoséSouza, Flávio Raimundo deMota, Jesus Carlos dahttp://lattes.cnpq.br/8143124986337155Rocha, Vitail José2014-11-25T12:21:37Z2014-07-03ROCHA, Vitail José. Números complexos e o teorema fundamental da álgebra. 2014. 86 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2014.http://repositorio.bc.ufg.br/tede/handle/tede/3683The objective of this work is to tell a little bit about the emergence and development of the Fundamental Theorem of Algebra, having as plot the historical context and the formalization of Complex Numbers, which mixes with this theorem. Considering the mathematical rigor in the construction of this subject, which o ered structure for the consolidation of this theorem. This work aims to achieve a more accessible demonstration, due to their necessary presence in high school, but in an axiomatic form.O objetivo deste trabalho é contar um pouco sobre o surgimento e desenvolvimento do Teorema Fundamental da Álgebra, tendo como enredo o contexto histórico e formaliza ção dos Números Complexos, que se mistura com este teorema. Levando em consideração o rigor matemático na construção deste corpo, o qual ofereceu estrutura para a consolidação deste teorema. Este trabalho busca alcançar uma demonstração mais acessível, devido a sua presença necessária no Ensino Médio, mas de forma axiom ática .Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2014-11-25T11:43:39Z No. of bitstreams: 2 Dissertação - Vitail José Rocha - 2014.pdf: 2821899 bytes, checksum: 15f18dbbd000ffd3491c30d95cc2763f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2014-11-25T12:21:37Z (GMT) No. of bitstreams: 2 Dissertação - Vitail José Rocha - 2014.pdf: 2821899 bytes, checksum: 15f18dbbd000ffd3491c30d95cc2763f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Made available in DSpace on 2014-11-25T12:21:37Z (GMT). No. of bitstreams: 2 Dissertação - Vitail José Rocha - 2014.pdf: 2821899 bytes, checksum: 15f18dbbd000ffd3491c30d95cc2763f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Previous issue date: 2014-07-03Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESapplication/pdfhttp://repositorio.bc.ufg.br/tede/retrieve/12823/Disserta%c3%a7%c3%a3o%20-%20Vitail%20Jos%c3%a9%20Rocha%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/openAccessNúmeros complexosTeorema fundamental da álgebraComplex numbersFundamental theorem of algebraMATEMATICA::MATEMATICA APLICADANúmeros complexos e o teorema fundamental da álgebraComplex numbers, fundamental theorem of algebrainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis5637905143957969341600600600600-426877751233515201583989707851798577902075167498588264571reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; charset=utf-82165http://repositorio.bc.ufg.br/tede/bitstreams/8c627ccf-62e8-4bd1-a0ef-b6ffba14afdd/downloadbd3efa91386c1718a7f26a329fdcb468MD51CC-LICENSElicense_urllicense_urltext/plain; charset=utf-849http://repositorio.bc.ufg.br/tede/bitstreams/6373b724-2478-45a4-b0cd-9c5ac3e082da/download4afdbb8c545fd630ea7db775da747b2fMD52license_textlicense_texttext/html; charset=utf-822302http://repositorio.bc.ufg.br/tede/bitstreams/479e1ab7-5e8b-4f13-962f-d3f624bd0b38/download1e0094e9d8adcf16b18effef4ce7ed83MD53license_rdflicense_rdfapplication/rdf+xml; charset=utf-823148http://repositorio.bc.ufg.br/tede/bitstreams/867e3ae3-1d1e-47d8-b60b-ee31decd32c3/download9da0b6dfac957114c6a7714714b86306MD54ORIGINALDissertação - Vitail José Rocha - 2014.pdfDissertação - Vitail José Rocha - 2014.pdfapplication/pdf2821899http://repositorio.bc.ufg.br/tede/bitstreams/6ac4c412-731c-41be-83e0-2a8465bbda09/download15f18dbbd000ffd3491c30d95cc2763fMD55TEXTDissertação - Vitail José Rocha - 2014.pdf.txtDissertação - Vitail José Rocha - 2014.pdf.txtExtracted Texttext/plain105283http://repositorio.bc.ufg.br/tede/bitstreams/0df59e95-496d-4d3a-9dcc-c86e5b53e560/download098ae0678f2763c0d4615efe7e720913MD56THUMBNAILDissertação - Vitail José Rocha - 2014.pdf.jpgDissertação - Vitail José Rocha - 2014.pdf.jpgGenerated Thumbnailimage/jpeg3552http://repositorio.bc.ufg.br/tede/bitstreams/7c22f5bc-3a9b-4ad6-9fa6-0a2ae93c763c/download915f35e995f1fdab311a3c1433ad1ab4MD57tede/36832014-11-26 03:01:50.195http://creativecommons.org/licenses/by-nc-nd/4.0/Acesso Abertoopen.accessoai:repositorio.bc.ufg.br:tede/3683http://repositorio.bc.ufg.br/tedeRepositório InstitucionalPUBhttp://repositorio.bc.ufg.br/oai/requesttasesdissertacoes.bc@ufg.bropendoar:2014-11-26T05:01:50Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)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 |
dc.title.por.fl_str_mv |
Números complexos e o teorema fundamental da álgebra |
dc.title.alternative.eng.fl_str_mv |
Complex numbers, fundamental theorem of algebra |
title |
Números complexos e o teorema fundamental da álgebra |
spellingShingle |
Números complexos e o teorema fundamental da álgebra Rocha, Vitail José Números complexos Teorema fundamental da álgebra Complex numbers Fundamental theorem of algebra MATEMATICA::MATEMATICA APLICADA |
title_short |
Números complexos e o teorema fundamental da álgebra |
title_full |
Números complexos e o teorema fundamental da álgebra |
title_fullStr |
Números complexos e o teorema fundamental da álgebra |
title_full_unstemmed |
Números complexos e o teorema fundamental da álgebra |
title_sort |
Números complexos e o teorema fundamental da álgebra |
author |
Rocha, Vitail José |
author_facet |
Rocha, Vitail José |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Tonon, Durval José |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/3688981956532711 |
dc.contributor.referee1.fl_str_mv |
Tonon, Durval José |
dc.contributor.referee2.fl_str_mv |
Souza, Flávio Raimundo de |
dc.contributor.referee3.fl_str_mv |
Mota, Jesus Carlos da |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/8143124986337155 |
dc.contributor.author.fl_str_mv |
Rocha, Vitail José |
contributor_str_mv |
Tonon, Durval José Tonon, Durval José Souza, Flávio Raimundo de Mota, Jesus Carlos da |
dc.subject.por.fl_str_mv |
Números complexos Teorema fundamental da álgebra |
topic |
Números complexos Teorema fundamental da álgebra Complex numbers Fundamental theorem of algebra MATEMATICA::MATEMATICA APLICADA |
dc.subject.eng.fl_str_mv |
Complex numbers Fundamental theorem of algebra |
dc.subject.cnpq.fl_str_mv |
MATEMATICA::MATEMATICA APLICADA |
description |
The objective of this work is to tell a little bit about the emergence and development of the Fundamental Theorem of Algebra, having as plot the historical context and the formalization of Complex Numbers, which mixes with this theorem. Considering the mathematical rigor in the construction of this subject, which o ered structure for the consolidation of this theorem. This work aims to achieve a more accessible demonstration, due to their necessary presence in high school, but in an axiomatic form. |
publishDate |
2014 |
dc.date.accessioned.fl_str_mv |
2014-11-25T12:21:37Z |
dc.date.issued.fl_str_mv |
2014-07-03 |
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 |
ROCHA, Vitail José. Números complexos e o teorema fundamental da álgebra. 2014. 86 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/3683 |
identifier_str_mv |
ROCHA, Vitail José. Números complexos e o teorema fundamental da álgebra. 2014. 86 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2014. |
url |
http://repositorio.bc.ufg.br/tede/handle/tede/3683 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.program.fl_str_mv |
5637905143957969341 |
dc.relation.confidence.fl_str_mv |
600 600 600 600 |
dc.relation.department.fl_str_mv |
-4268777512335152015 |
dc.relation.cnpq.fl_str_mv |
8398970785179857790 |
dc.relation.sponsorship.fl_str_mv |
2075167498588264571 |
dc.rights.driver.fl_str_mv |
http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
http://creativecommons.org/licenses/by-nc-nd/4.0/ |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Federal de Goiás |
dc.publisher.program.fl_str_mv |
Programa de Pós-graduação em PROFMAT (RG) |
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 instname:Universidade Federal de Goiás (UFG) instacron:UFG |
instname_str |
Universidade Federal de Goiás (UFG) |
instacron_str |
UFG |
institution |
UFG |
reponame_str |
Repositório Institucional da UFG |
collection |
Repositório Institucional da UFG |
bitstream.url.fl_str_mv |
http://repositorio.bc.ufg.br/tede/bitstreams/8c627ccf-62e8-4bd1-a0ef-b6ffba14afdd/download http://repositorio.bc.ufg.br/tede/bitstreams/6373b724-2478-45a4-b0cd-9c5ac3e082da/download http://repositorio.bc.ufg.br/tede/bitstreams/479e1ab7-5e8b-4f13-962f-d3f624bd0b38/download http://repositorio.bc.ufg.br/tede/bitstreams/867e3ae3-1d1e-47d8-b60b-ee31decd32c3/download http://repositorio.bc.ufg.br/tede/bitstreams/6ac4c412-731c-41be-83e0-2a8465bbda09/download http://repositorio.bc.ufg.br/tede/bitstreams/0df59e95-496d-4d3a-9dcc-c86e5b53e560/download http://repositorio.bc.ufg.br/tede/bitstreams/7c22f5bc-3a9b-4ad6-9fa6-0a2ae93c763c/download |
bitstream.checksum.fl_str_mv |
bd3efa91386c1718a7f26a329fdcb468 4afdbb8c545fd630ea7db775da747b2f 1e0094e9d8adcf16b18effef4ce7ed83 9da0b6dfac957114c6a7714714b86306 15f18dbbd000ffd3491c30d95cc2763f 098ae0678f2763c0d4615efe7e720913 915f35e995f1fdab311a3c1433ad1ab4 |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 MD5 MD5 MD5 |
repository.name.fl_str_mv |
Repositório Institucional da UFG - Universidade Federal de Goiás (UFG) |
repository.mail.fl_str_mv |
tasesdissertacoes.bc@ufg.br |
_version_ |
1823229491264094208 |