{"id":19,"date":"2016-02-19T13:12:44","date_gmt":"2016-02-19T15:12:44","guid":{"rendered":"https:\/\/wp.ufpel.edu.br\/zahn\/?page_id=19"},"modified":"2025-10-13T14:34:03","modified_gmt":"2025-10-13T17:34:03","slug":"publicacoes","status":"publish","type":"page","link":"https:\/\/wp.ufpel.edu.br\/zahn\/publicacoes\/","title":{"rendered":"Opus"},"content":{"rendered":"<header class=\"style1\">\n<h2 style=\"text-align: center;\"><strong>Trabalhos\u00a0Publicados<\/strong><\/h2>\n<p>&nbsp;<\/p>\n<p><strong>Lista de livros publicados<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/www.amazon.com.br\/X\u0305I\u0305I\u0305LXXVI-Anno-Domini-quando-ofuscar\/dp\/6526651224\/ref=sr_1_2?crid=2XFLU184JS2NZ&amp;dib=eyJ2IjoiMSJ9.K1dwXb_4E43UDPlLMV47FVfsQYgnnOd_fPnawwaJJcXZhA3cB4dqI9AslV34o8VOCIxCa2tpq_NlAHtvvvgSuwAxXkG_HH2AjVqxUlVW8SUEg2vTXY_MMppqrYycrNuQuYUqhCLmUV9IrlmVGSXKSM80iRfgkA64Pk_dzFSoonPZ4a5Sz6gZsKUsPDSnQ-q3.e1r8JMRMeWaS4Q4Frjvp9YqNJMpurvMpkssORiBMzi4&amp;dib_tag=se&amp;keywords=zahn+mauricio&amp;qid=1759431531&amp;sprefix=zahn%2Caps%2C332&amp;sr=8-2&amp;ufe=app_do%3Aamzn1.fos.6d798eae-cadf-45de-946a-f477d47705b9\" target=\"_blank\" rel=\"noopener\">12076 ANNO DOMINI: quando as trevas ousam ofuscar a luz.<\/a> 148 p\u00e1ginas. Pela o clube de autores.<\/li>\n<li><a href=\"https:\/\/www.amazon.com.br\/matem\u00e1tica-memes-forma-inusitada-estudar\/dp\/8521225725\/ref=sr_1_6?__mk_pt_BR=\u00c5M\u00c5\u017d\u00d5\u00d1&amp;crid=XDLH98MYX1YV&amp;dib=eyJ2IjoiMSJ9.K1dwXb_4E43UDPlLMV47FVfsQYgnnOd_fPnawwaJJcXZhA3cB4dqI9AslV34o8VOCIxCa2tpq_NlAHtvvvgSuwAxXkG_HH2AjVqxUlVW8SUEg2vTXY_MMppqrYycrNuQuYUqhCLmUV9IrlmVGSXKSM80iRfgkA64Pk_dzFSoonPZ4a5Sz6gZsKUsPDSnQ-q3.e1r8JMRMeWaS4Q4Frjvp9YqNJMpurvMpkssORiBMzi4&amp;dib_tag=se&amp;keywords=zahn+mauricio&amp;qid=1759431844&amp;sprefix=zahn+mauricio%2Caps%2C625&amp;sr=8-6&amp;ufe=app_do%3Aamzn1.fos.6d798eae-cadf-45de-946a-f477d47705b9\" target=\"_blank\" rel=\"noopener\">A matem\u00e1tica em memes: uma forma inusitada de estudar matem\u00e1tica<\/a>, Pela Editora Edgard Blucher\/SP. 2025. 234 p\u00e1ginas<\/li>\n<li><a href=\"https:\/\/www.amazon.com.br\/An\u00e1lise-Real-Maur\u00edcio-Zahn\/dp\/6555065427\/ref=sr_1_3?crid=1YYOGKE3J7HFV&amp;dib=eyJ2IjoiMSJ9.K1dwXb_4E43UDPlLMV47FVfsQYgnnOd_fPnawwaJJcXZhA3cB4dqI9AslV34o8VOCIxCa2tpq_NlAHtvvvgSuwAxXkG_HH2AjVqxUlVW8SUEg2vTXY_MMppqrYycrNuQuYUqhCLmUV9IrlmVGSXKSM80iRfgkA64Pk_dzFSoonPZ4a5Sz6gZsKUsPDSnQ-q3.e1r8JMRMeWaS4Q4Frjvp9YqNJMpurvMpkssORiBMzi4&amp;dib_tag=se&amp;keywords=zahn+mauricio&amp;qid=1759432007&amp;sprefix=%2Caps%2C221&amp;sr=8-3&amp;ufe=app_do%3Aamzn1.fos.6a09f7ec-d911-4889-ad70-de8dd83c8a74\" target=\"_blank\" rel=\"noopener\">An\u00e1lise Real<\/a>, pela Editora Edgard Blucher\/ SP. 2022. 456 p\u00e1ginas.<\/li>\n<li><a href=\"https:\/\/www.blucher.com.br\/conjuntos-e-funcoes_9786555061475\" target=\"_blank\" rel=\"noopener\">Conjuntos e fun\u00e7\u00f5es com aplica\u00e7\u00f5es <\/a>, em coautoria com os professores Alexandre Molter e C\u00edcero Nachtigall, pela ed. Edgard Blucher\/SP. Ano: 2022. 332 p\u00e1ginas.<\/li>\n<li><a href=\"https:\/\/www.blucher.com.br\/algebra-linear_9786555062649\" target=\"_blank\" rel=\"noopener\">\u00c1lgebra Linear<\/a>, pela Editora Edgard Blucher\/SP 2021. 290 p\u00e1ginas.<\/li>\n<li><a href=\"https:\/\/www.blucher.com.br\/livro\/detalhes\/trigonometria-e-numeros-complexos-1623\" target=\"_blank\" rel=\"noopener noreferrer\">Trigonometria e N\u00fameros Complexos com aplica\u00e7\u00f5es<\/a>, em coautoria com os professores Alexandre Molter e C\u00edcero Nachtigall, pela Editora Edgard Blucher, SP. Ano: 2020. ISBN: 9786555060102 (312 p\u00e1ginas) .<\/li>\n<\/ul>\n<\/header>\n<ul>\n<li><a href=\"https:\/\/www.lcm.com.br\/site\/#\/livros\/detalhesLivro\/topicos-de-matematica-basica.html\" target=\"_blank\" rel=\"noopener noreferrer\">T\u00f3picos de Matem\u00e1tica B\u00e1sica<\/a>. Autores: Alexandre Molter; Camila Costa, C\u00edcero Nachtigall;\u00a0Luciana Chimendes; Maur\u00edcio Zahn e\u00a0Rejane Pergher. Ano: 2016. Ed. Ci\u00eancia Moderna, RJ. ISBN:\u00a0978-85-399-0828-8 (256 p\u00e1ginas).<\/li>\n<li><a href=\"https:\/\/www.lcm.com.br\/site\/#livros\/detalhesLivro\/uma-introducao-aos-cardinais-de-cantor.html\" target=\"_blank\" rel=\"noopener noreferrer\">Uma Introdu\u00e7\u00e3o aos Cardinais de Cantor<\/a>. Autor: Maur\u00edcio Zahn. Ano: 2016 &#8211; Editora Ci\u00eancia Moderna, RJ. ISBN:\u00a0978-85-399-0710-6 (144 p\u00e1ginas).<\/li>\n<li><a href=\"http:\/\/www.lcm.com.br\/site\/#\/livros\/detalhesLivro\/um-curso-de-calculo.html\">Um curso de C\u00e1lculo.<\/a>\u00a0Autores: Lisiane Ramires Meneses e Maur\u00edcio Zahn. Ano: 2013. Editora Ci\u00eancia Moderna, Rj. ISBN: 978-85-399-0314-6 (424 p\u00e1ginas).<\/li>\n<li><a href=\"http:\/\/www.lcm.com.br\/site\/#\/livros\/detalhesLivro\/introducao-a-algebra.html\">Introdu\u00e7\u00e3o \u00e0 \u00c1lgebra.<\/a>\u00a0Autor: Maur\u00edcio Zahn. Ano: 2013. Editora Ci\u00eancia Moderna, RJ. ISBN: 978-85-3990-289-7 (140 p\u00e1ginas)<\/li>\n<li><a href=\"http:\/\/www.lcm.com.br\/site\/#\/livros\/detalhesLivro\/sequencia-de-fibonacci-e-o-numero-de-ouro.html\">Sequ\u00eancia de Fibonacci e o n\u00famero de ouro.<\/a>\u00a0Autor: Maur\u00edcio Zahn. Ano: 2011. Ed. Ci\u00eancia Moderna, RJ. ISBN 978-85-3990-001-5 (88 p\u00e1ginas).<\/li>\n<\/ul>\n<ul>\n<li><a href=\"http:\/\/www.lcm.com.br\/site\/#\/livros\/detalhesLivro\/teoria-elementar-das-funcoes.html\">Teoria Elementar das Fun\u00e7\u00f5es.<\/a>\u00a0Autor: <span style=\"font-family: georgia, palatino, serif;\">Maur\u00edcio<\/span> Zahn. Ano: 2009. Editora Ci\u00eancia Moderna, RJ. ISBN: 978-85-7393-781-7 (217 p\u00e1ginas).<\/li>\n<\/ul>\n<p><strong>Lista de Artigos<\/strong><\/p>\n<ul>\n<li>Artigo <a href=\"http:\/\/www.fc.unesp.br\/Home\/Departamentos\/Matematica\/revistacqd2228\/v12a01-comparando-exponenciais-aninhadas-a.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Comparando exponenciais aninhadas envolvendo alternadamente os n\u00fameros <em>e<\/em> e \u03c0<\/a>, publicado pela Revista Eletr\u00f4nica Paulista de Matem\u00e1tica da Unesp, em julho de 2018.<\/li>\n<li>Artigo &#8220;<a href=\"http:\/\/www.tandfonline.com\/eprint\/fBn9rUKp2MipeAGADJtX\/full\" target=\"_blank\" rel=\"noopener noreferrer\">A deduction of the Golden spiral equation via powers of the Golden Ratio phi<\/a>&#8220;, publicado em 31\/04\/2017, no International Journal of Mathematical Education in Science and Tecnology. <span style=\"font-family: 'book antiqua', palatino, serif; font-size: 10pt;\">\u00a0Resumo: This paper presents an interesting deduction of the Golden Spiral equation in a suitable polar coordinate system. For this purpose, the concepts of Golden Ratio and Golden Rectangle, and a significant result for the calculation of powers of the Golden Ratio \u03d5 using terms of the Fibonacci sequence are mentioned. Finally, various geometrical considerations that help us deduce the sought equation are presented.<\/span><\/li>\n<li>Artigo &#8220;<em><a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2016\/02\/2015Galego_Zahn.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">On the isomorphic classification of C(K, X)spaces<\/a><\/em>&#8220;, publicado em 2015 na revista Journal of Mathematical Analysis and Applications, 431.<span style=\"font-family: 'book antiqua', palatino, serif; font-size: 10pt;\"> Neste artigo provamos a classifica\u00e7\u00e3o isomorfa de alguns espa\u00e7os C(<em>K<\/em>,<em>X<\/em>), os espa\u00e7os de Banach de todas as fun\u00e7\u00f5es cont\u00ednuas definidas em um espa\u00e7o m\u00e9trico compacto infinito <em>K<\/em>, com valores no espa\u00e7o de Banach <em>X<\/em>, equipado com a norma do supremo. Ent\u00e3o, provamos que se <em>X<\/em> for um espa\u00e7o de Banach possuindo um quociente omega 1 uniformemente convexo, ent\u00e3o para todos compactos m\u00e9tricos <em>K<\/em><sub>1<\/sub> e <em>K<\/em><sub>2<\/sub>, s\u00e3o equivalentes:<\/span><br \/>\n<span style=\"font-family: 'book antiqua', palatino, serif; font-size: 10pt;\">(a) C(<em>K<\/em><sub>1<\/sub>, <em>X<\/em>) \u00e9 isomorfo a C(<em>K<\/em><sub>2<\/sub>, <em>X<\/em>).<\/span><br \/>\n<span style=\"font-family: 'book antiqua', palatino, serif; font-size: 10pt;\">(b) C(<em>K<\/em><sub>1<\/sub>) \u00e9 isomorfo a C(<em>K<\/em><sub>2<\/sub>).<\/span><br \/>\n<span style=\"font-family: 'book antiqua', palatino, serif; font-size: 10pt;\">Este resultado permite classificar, a menos de isomorfismos, espa\u00e7os C(<em>K<\/em>, <em>Y\u00a0<\/em>\u2295 <em>l<sub>p<\/sub><\/em>(\u0393)), 1 &lt; <em>p<\/em> \u2264 \u221e.<\/span><\/li>\n<li>Artigo <em><a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2016\/02\/2015051-060.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">A quasi-dichotomy for C(\u03b1;X) spaces, \u03b1\u00a0&lt; \u03c9<sub> 1<\/sub><\/a>.<\/em><br \/>\nPublicado no COLLOQUIUM MATHEMATICUM, vol. 141, num. 1, 2015, p\u00e1ginas 51 &#8211; 60.<\/li>\n<li>Artigo <a href=\"http:\/\/rpm.org.br\/cdrpm\/74\/2.html\" target=\"_blank\" rel=\"noopener noreferrer\">Fra\u00e7\u00f5es que geram a sequ\u00eancia de Fibonacci<\/a>, publicado na Revista do Professor de Matem\u00e1tica, n\u00fam. 74, 2011.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Trabalhos\u00a0Publicados &nbsp; Lista de livros publicados 12076 ANNO DOMINI: quando as trevas ousam ofuscar a luz. 148 p\u00e1ginas. Pela o clube de autores. A matem\u00e1tica em memes: uma forma inusitada de estudar matem\u00e1tica, Pela Editora Edgard Blucher\/SP. 2025. 234 p\u00e1ginas An\u00e1lise Real, pela Editora Edgard Blucher\/ SP. 2022. 456 p\u00e1ginas. Conjuntos e fun\u00e7\u00f5es com aplica\u00e7\u00f5es &hellip; <a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/publicacoes\/\" class=\"more-link\">Continue lendo <span class=\"screen-reader-text\">Opus<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":605,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-19","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P7fXYa-j","_links":{"self":[{"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/pages\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/users\/605"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":4,"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/pages\/19\/revisions"}],"predecessor-version":[{"id":4212,"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/pages\/19\/revisions\/4212"}],"wp:attachment":[{"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/media?parent=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}