{"id":11,"date":"2019-06-01T23:33:22","date_gmt":"2019-06-02T02:33:22","guid":{"rendered":"http:\/\/professor.ufabc.edu.br\/~rafael.grisi\/?page_id=11"},"modified":"2019-06-17T21:33:23","modified_gmt":"2019-06-18T00:33:23","slug":"medida","status":"publish","type":"page","link":"http:\/\/professor.ufabc.edu.br\/~rafael.grisi\/disciplinas\/medida\/","title":{"rendered":"Teoria da Medida e Integra\u00e7\u00e3o"},"content":{"rendered":"\n<h4 class=\"wp-block-heading\"><strong>Programa<\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Espa\u00e7os de medida. Medida exterior. Medidas de Borel na reta real e no R^n. Fun\u00e7\u00f5es mensur\u00e1veis. Integra\u00e7\u00e3o. Modos de converg\u00eancia. Teorema de Fubini. No\u00e7\u00f5es b\u00e1sicas de espa\u00e7os Lp. Dualidade.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Crit\u00e9rios de Avalia\u00e7\u00e3o<\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A avalia\u00e7\u00e3o ser\u00e1 feita a partir de duas provas, que ser\u00e3o entregues ao aluno em sala e dever\u00e1 ser devolvida ao docente 5 dias depois.<br><br>As provas ser\u00e3o avaliadas individualmente com os conceitos usados na universidade (A, B, C, D ou F). <br><br>O conceito final ser\u00e1 feito pela avalia\u00e7\u00e3o conjunta das duas provas, considerando n\u00e3o apenas os conceitos individuais, mas tamb\u00e9m a evolu\u00e7\u00e3o do discente ao longo do curso.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Bibliografia B\u00e1sica<\/strong><\/h4>\n\n\n\n<ol class=\"wp-block-list\"><li>BARTLE, R. G.&nbsp;<strong>A Modern Theory of Integration<\/strong>. Providence, RI: American Mathematical Society, 2001.<\/li><li>BARTLE, R. G.&nbsp;<strong>The Elements of Integration and Lebesgue Measure<\/strong>. New York: Wiley, 1995.<\/li><li>FERNANDEZ, P. J.&nbsp;<strong>Medida e Integra\u00e7\u00e3o<\/strong>. 2. ed. Rio de Janeiro: IMPA, 2002. (Projeto Euclides).<\/li><li>FOLLAND, G. B.&nbsp;<strong>Real Analysis<\/strong>: modern techniques and their applications<strong>.<\/strong>&nbsp;2nd ed. New York: Wiley, 1999.<\/li><\/ol>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Bibliografia Complementar<\/strong><\/h4>\n\n\n\n<ol class=\"wp-block-list\"><li>CASTRO JR, A. A.&nbsp;<strong>Curso de Teoria da Medida<\/strong>. Rio de Janeiro: IMPA, 2004.<\/li><li>RUDIN, W.&nbsp;<strong>Real and Complex Analysis.<\/strong>&nbsp;3rd ed. Singapore: McGraw-Hill, 1986.<\/li><li>TAO, T.&nbsp;<strong>An Introduction to Measure Theory.&nbsp;<\/strong>Providence, RI: American Mathematical Society, 2011.<\/li><li>VESTRUP, E. M.&nbsp;<strong>The theory of measures and integration<\/strong>. Hoboken: Wiley-Interscience, 2003.<\/li><li>WHEEDEN, R.; ZYGMUND, A.&nbsp;<strong>Measure and Integration<\/strong>: an introduction to real analysis. Boca Raton: CRC Press, 1977.<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Programa Espa\u00e7os de medida. Medida exterior. Medidas de Borel na reta real e no R^n. Fun\u00e7\u00f5es mensur\u00e1veis. Integra\u00e7\u00e3o. Modos de converg\u00eancia. Teorema de Fubini. No\u00e7\u00f5es b\u00e1sicas de espa\u00e7os Lp. Dualidade. Crit\u00e9rios de Avalia\u00e7\u00e3o A avalia\u00e7\u00e3o ser\u00e1 feita a partir de &hellip; <a href=\"http:\/\/professor.ufabc.edu.br\/~rafael.grisi\/disciplinas\/medida\/\">Continue lendo <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":6,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-11","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/professor.ufabc.edu.br\/~rafael.grisi\/wp-json\/wp\/v2\/pages\/11","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/professor.ufabc.edu.br\/~rafael.grisi\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/professor.ufabc.edu.br\/~rafael.grisi\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/professor.ufabc.edu.br\/~rafael.grisi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/professor.ufabc.edu.br\/~rafael.grisi\/wp-json\/wp\/v2\/comments?post=11"}],"version-history":[{"count":5,"href":"http:\/\/professor.ufabc.edu.br\/~rafael.grisi\/wp-json\/wp\/v2\/pages\/11\/revisions"}],"predecessor-version":[{"id":36,"href":"http:\/\/professor.ufabc.edu.br\/~rafael.grisi\/wp-json\/wp\/v2\/pages\/11\/revisions\/36"}],"up":[{"embeddable":true,"href":"http:\/\/professor.ufabc.edu.br\/~rafael.grisi\/wp-json\/wp\/v2\/pages\/6"}],"wp:attachment":[{"href":"http:\/\/professor.ufabc.edu.br\/~rafael.grisi\/wp-json\/wp\/v2\/media?parent=11"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}