{"id":706,"date":"2020-07-27T19:29:48","date_gmt":"2020-07-27T19:29:48","guid":{"rendered":"http:\/\/localhost\/?page_id=706"},"modified":"2022-07-04T10:04:53","modified_gmt":"2022-07-04T13:04:53","slug":"algebra-a","status":"publish","type":"page","link":"http:\/\/localhost\/index.php\/ensino\/algebra-a\/","title":{"rendered":"\u00c1lgebra A"},"content":{"rendered":"<p>Disciplina de gradua\u00e7\u00e3o &#8211; semestre I de 2020<br \/>\n<strong>Professor:\u00a0<\/strong>Csaba Schneider<br \/>\n<strong>Ementa:<\/strong>\u00a0Teoria de n\u00fameros: indu\u00e7\u00e3o, princ\u00edpio da boa ordena\u00e7\u00e3o, divisibilidade, bases de numera\u00e7\u00e3o, n\u00fameros primos, fatora\u00e7\u00e3o e o teorema fundamental da aritm\u00e9tica, mmc e mdc, equa\u00e7\u00f5es diofantinas lineares, congru\u00eancias, teoremas de Eucler, Fermat, teorema do resto chin\u00eas. Criptografia: b\u00e1sica:cifras afins e exponenciais, RSA.<\/p>\n<p><strong>Bibliografia<\/strong><br \/>\nS. C. Coutinho, N\u00fameros Inteiros e a Criptografia RSA. IMPA 2014.<br \/>\nVictor Shoup. <a href=\"https:\/\/shoup.net\/ntb\/ntb-v2.pdf\">A computational introduction to number theory and algebra.<\/a> Cambridge University Press, 2018.<\/p>\n<p><strong>Notas, apostilas, exerc\u00edcios<\/strong><\/p>\n<ul>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/algoritmos-basicos\/\">Algoritmos b\u00e1sicos<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/exercicios-1\/\">Exerc\u00edcios 1<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/fundamentos-de-algebra\/expansao-de-numeros-naturais-na-base-b-e-a-expansao-decimal-de-numeros-racionais\/\">Representa\u00e7\u00e3o de inteiros em uma base $b$<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/fundamentos-de-algebra\/expansao-decimal-de-numeros-racionais\/\">Expans\u00e3o decimal de n\u00fameros racionais<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/divisibilidade-e-o-mdc\/\">Divisibilidade e o MDC<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/exercicios-2\/\">Exerc\u00edcios 2<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/o-algoritmo-de-euclides\/\">O Algoritmo de Euclides<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/exercicios-3\/\">Exerc\u00edcios 3<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/numeros-primos\/\">N\u00fameros primos<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/numero-dos-primos\/\">O n\u00famero dos primos<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/algebra-a\/exercicios-4-2\/\">Exerc\u00edcio 4<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/equacoes-lineares-diofantinas-do-primeiro-grau-em-duas-variaveis\/\">Equa\u00e7\u00f5es diofantinas lineares em duas vari\u00e1veis<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/teorema-chines-dos-restos\/\">O Teorema Chin\u00eas dos Restos<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/exercicios-5\/\">Exerc\u00edcios 5<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/aritmetica-modular\/\">Semana 6: Aritm\u00e9tica modular<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/exercicios-6\/\">Exerc\u00edcios 6<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/divisao-com-classes-residuais\/\">Semana 7: Divis\u00e3o modular<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/exercicios-7\/\">Exerc\u00edcios 7<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/a-funcao-varphi-de-euler\/\">A fun\u00e7\u00e3o $\\varphi$ de Euler<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/o-pequeno-teorema-de-fermat\/\">Semana 8: O Pequeno Teorema de Fermat e o Teorema de Euler<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/exercicios-8\/\">Exerc\u00edcios 8<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/algebra-a\/numeros-de-carmichael-e-o-teste-de-miller\/\">Semana 9: Os n\u00fameros de Carmichael e o Teste de Miller<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/exercicios-9\/\">Exerc\u00edcios 9<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/algebra-a\/criptografia-rsa\/\">Criptografia RSA<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/algebra-a\/exercicios-12\/\">Exerc\u00edcios 12<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/algebra-a\/assinatura-e-troca-de-chaves\/\">Assinatura e troca de chaves<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/exercicios-13\/\">Exerc\u00edcios 13<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Disciplina de gradua\u00e7\u00e3o &#8211; semestre I de 2020 Professor:\u00a0Csaba Schneider Ementa:\u00a0Teoria de n\u00fameros: indu\u00e7\u00e3o, princ\u00edpio da boa ordena\u00e7\u00e3o, divisibilidade, bases de numera\u00e7\u00e3o, n\u00fameros primos, fatora\u00e7\u00e3o e o teorema fundamental da aritm\u00e9tica, mmc e mdc, equa\u00e7\u00f5es diofantinas lineares, congru\u00eancias, teoremas de Eucler, Fermat, teorema do resto chin\u00eas. Criptografia: b\u00e1sica:cifras afins e exponenciais, RSA. Bibliografia S. C. &hellip; <a href=\"http:\/\/localhost\/index.php\/ensino\/algebra-a\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">\u00c1lgebra A<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":64,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/pages\/706"}],"collection":[{"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/comments?post=706"}],"version-history":[{"count":44,"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/pages\/706\/revisions"}],"predecessor-version":[{"id":1853,"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/pages\/706\/revisions\/1853"}],"up":[{"embeddable":true,"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/pages\/64"}],"wp:attachment":[{"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/media?parent=706"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}