{"id":221,"date":"2014-12-01T20:19:48","date_gmt":"2014-12-01T22:19:48","guid":{"rendered":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/?page_id=221"},"modified":"2014-12-01T20:19:48","modified_gmt":"2014-12-01T22:19:48","slug":"aritmetica","status":"publish","type":"page","link":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/grade-curricular-2\/aritmetica\/","title":{"rendered":"Aritm\u00e9tica"},"content":{"rendered":"<h4>Aritm\u00e9tica<\/h4>\n<p>&nbsp;<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"101\">Curso\/semestre<\/td>\n<td width=\"540\">Licenciatura em Matem\u00e1tica \/ Quarto<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Disciplina<\/td>\n<td width=\"540\">Aritm\u00e9tica<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Car\u00e1ter<\/td>\n<td width=\"540\">ACA \u2013 Obrigat\u00f3rio<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Pr\u00e9-requisito<\/td>\n<td width=\"540\">Introdu\u00e7\u00e3o a L\u00f3gica ( 0100227)<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">C\u00f3digo<\/td>\n<td width=\"540\">0100251<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Depto.<\/td>\n<td width=\"540\">DME<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">CHT<\/td>\n<td width=\"540\">102 horas<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Cr\u00e9ditos<\/td>\n<td width=\"540\">06<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Natureza<\/td>\n<td width=\"540\">68 te\u00f3ricas \/ 34 pr\u00e1ticas<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Prof. Resp.<\/td>\n<td width=\"540\"><\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Objetivos<\/td>\n<td width=\"540\">\n<p>Prover o aluno dos conceitos b\u00e1sicos da teoria dos n\u00fameros estimulando-o a construir provas formais que utilizem tais conceitos.<\/p>\n<p>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Ementa<\/td>\n<td width=\"540\">\n<p>N\u00fameros Naturais. N\u00fameros Inteiros. Algoritmo da divis\u00e3o. Numera\u00e7\u00e3o. M\u00e1ximo Divisor Comum. M\u00ednimo M\u00faltiplo Comum. Teorema fundamental da aritm\u00e9tica. Congru\u00eancia. Equa\u00e7\u00f5es Diofantinas. Inteiros M\u00f3dulo n.<\/p>\n<p>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Programa<\/td>\n<td width=\"540\">\n<p>N\u00fameros Naturais<\/p>\n<p>O Conceito de N\u00famero Natural<\/p>\n<p>Axiomas de Peano.<\/p>\n<p>Opera\u00e7\u00f5es no Conjunto dos Naturais<\/p>\n<p>Rela\u00e7\u00e3o de Ordem<\/p>\n<p>&nbsp;<\/p>\n<p>N\u00fameros inteiros<\/p>\n<p>Introdu\u00e7\u00e3o<\/p>\n<p>Uma Fundamenta\u00e7\u00e3o Axiom\u00e1tica<\/p>\n<p>O Princ\u00edpio de Indu\u00e7\u00e3o Matem\u00e1tica<\/p>\n<p>&nbsp;<\/p>\n<p>Divisibilidade<\/p>\n<p>Algoritmo da Divis\u00e3o<\/p>\n<p>Numera\u00e7\u00e3o<\/p>\n<p>M\u00e1ximo Divisor Comum<\/p>\n<p>O Algoritmo de Euclides<\/p>\n<p>M\u00ednimo M\u00faltiplo Comum<\/p>\n<p>O Teorema Fundamental da Aritm\u00e9tica<\/p>\n<p>A Distribui\u00e7\u00e3o dos Primos<\/p>\n<p>&nbsp;<\/p>\n<p>Congru\u00eancias<\/p>\n<p>Equa\u00e7\u00f5es Diofantinas Lineares<\/p>\n<p>Congru\u00eancias<\/p>\n<p>Inteiros M\u00f3dulo n<\/p>\n<p>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Bibliografia<\/td>\n<td width=\"540\">\n<p>B\u00e1sica<\/p>\n<p>DOMINGUES, H.H. Fundamentos de aritm\u00e9tica. Atual Editora.<\/p>\n<p>MILIES, Francisco C\u00e9sar Polcino e COELHO, S\u00f4nia Pitta. N\u00fameros: Uma Introdu\u00e7\u00e3o \u00e0 Matem\u00e1tica. S\u00e3o Paulo: EDUSP, 2003.<\/p>\n<p>HEFEZ, Abramo. Elementos de Aritm\u00e9tica. Textos Universit\u00e1rios &#8211; IMPA, Rio de Janeiro, 2005.<\/p>\n<p>HEFEZ, Abramo. Curso de \u00e1lgebra. Matem\u00e1tica Universit\u00e1ria &#8211; IMPA, Rio de Janeiro, 1993.<\/p>\n<p>&nbsp;<\/p>\n<p>Complementar<\/p>\n<p>LIPSCHUTZ, Seymour. Teoria dos Conjuntos. S\u00e3o Paulo : Makron Books do Brasil Editora, 1972.<\/p>\n<p>LIPSCHUTZ, Seymour. Matem\u00e1tica Finita. S\u00e3o Paulo : McGraw-Hill do Brasil Editora, 1981.<\/p>\n<p>SZWARCFITER, Jayme. Grafos e Algoritmos Computacionais. Rio de Janeiro- Editora Campus, 1988.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aritm\u00e9tica &nbsp; Curso\/semestre Licenciatura em Matem\u00e1tica \/ Quarto Disciplina Aritm\u00e9tica Car\u00e1ter ACA \u2013 Obrigat\u00f3rio Pr\u00e9-requisito Introdu\u00e7\u00e3o a L\u00f3gica ( 0100227) C\u00f3digo 0100251 Depto. DME CHT 102 horas Cr\u00e9ditos 06 Natureza 68 te\u00f3ricas \/ 34 pr\u00e1ticas Prof. Resp. Objetivos Prover o aluno dos conceitos b\u00e1sicos da teoria dos n\u00fameros estimulando-o a construir provas formais que utilizem [&hellip;]<\/p>\n","protected":false},"author":466,"featured_media":0,"parent":166,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-sem-sidebar.php","meta":{"_crdt_document":"","footnotes":""},"class_list":["post-221","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P7sk8J-3z","_links":{"self":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/221","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/users\/466"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/comments?post=221"}],"version-history":[{"count":1,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/221\/revisions"}],"predecessor-version":[{"id":222,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/221\/revisions\/222"}],"up":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/166"}],"wp:attachment":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/media?parent=221"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}