{"id":12522,"date":"2016-01-09T17:38:56","date_gmt":"2016-01-09T17:38:56","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=12522"},"modified":"2022-09-23T11:28:48","modified_gmt":"2022-09-23T10:28:48","slug":"math-and-the-rise-of-civilization","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=12522","title":{"rendered":"Math and the Rise of Civilization"},"content":{"rendered":"\n<style>.embed-container { position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden; max-width: 100%; } .embed-container iframe, .embed-container object, .embed-container embed { position: absolute; top: 0; left: 0; width: 100%; height: 100%; }<\/style><div class=\"embed-container\"><iframe src=\"https:\/\/www.youtube.com\/embed\/videoseries?list=PLqj6slKNNA3j8xwMpA61abH8UQNs4khyH\" frameborder=\"0\" allowfullscreen=\"\"><\/iframe><\/div>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<p>A guided tour of the history of numbers and how they\u2019ve shaped the development of humankind is at the heart of this unique series. In five episodes that take us across time and around the world, we see how mathematics played an important role in ancient Egypt and Greece, early India, medieval Europe, and our own modern world. Computer graphics make mathematical formulae accessible and interesting, while dramatic reenactments of history pique the viewer\u2019s interest.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"12523\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=12523\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2016\/01\/MathAndTheRiseOfCivilization.png\" data-orig-size=\"480,270\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Math And The Rise of Civilization\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2016\/01\/MathAndTheRiseOfCivilization.png\" class=\"alignright size-medium wp-image-12523\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2016\/01\/MathAndTheRiseOfCivilization-300x169.png\" alt=\"Math And The Rise of Civilization\" width=\"300\" height=\"169\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2016\/01\/MathAndTheRiseOfCivilization-300x169.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2016\/01\/MathAndTheRiseOfCivilization.png 480w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>Part 1&nbsp;\u2013 The Beginning of Numbers<br>Part 2 \u2013 The Elements<br>Part 3 \u2013 The Divinity of Numbers<br>Part 4 \u2013 The World in Motion<br>Part 5 \u2013 Conquering Math\u2019s New Frontiers<\/p>\n<ul>\n<li>Fonte:<a href=\"http:\/\/global.ebs.co.kr\/eng\/contents\/documentaryInfo\" target=\"_blank\" rel=\"noopener\">Korean Education Broadcasting System (EBS)<\/a><\/li>\n<\/ul>\n<p><ul id='GTTabs_ul_12522' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_12522' class='GTTabs_curr'><a  id=\"12522_0\" onMouseOver=\"GTTabsShowLinks('Epis\u00f3dio 1'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Epis\u00f3dio 1<\/a><\/li>\n<li id='GTTabs_li_1_12522' ><a  id=\"12522_1\" onMouseOver=\"GTTabsShowLinks('Epis\u00f3dio 2'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Epis\u00f3dio 2<\/a><\/li>\n<li id='GTTabs_li_2_12522' ><a  id=\"12522_2\" onMouseOver=\"GTTabsShowLinks('Epis\u00f3dio 3'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Epis\u00f3dio 3<\/a><\/li>\n<li id='GTTabs_li_3_12522' ><a  id=\"12522_3\" onMouseOver=\"GTTabsShowLinks('Epis\u00f3dio 4'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Epis\u00f3dio 4<\/a><\/li>\n<li id='GTTabs_li_4_12522' ><a  id=\"12522_4\" onMouseOver=\"GTTabsShowLinks('Epis\u00f3dio 5'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Epis\u00f3dio 5<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_12522'>\n<span class='GTTabs_titles'><b>Epis\u00f3dio 1<\/b><\/span><\/p>\n<h5>O in\u00edcio dos n\u00fameros<\/h5>\n<p>A inunda\u00e7\u00e3o anual do Rio Nilo trazia uma responsabilidade essencial ao Fara\u00f3: era necess\u00e1rio manter a ordem social e geogr\u00e1fica das regi\u00f5es por onde o rio mais extenso do mundo passava. Esta foi uma condi\u00e7\u00e3o fundamental para os primeiros estudos e o desenvolvimento dos n\u00fameros e da geometria. Neste epis\u00f3dio, o narrador convida-nos para uma viagem em que, a partir de documentos, c\u00e1lculos e demonstra\u00e7\u00e3o de constru\u00e7\u00f5es fara\u00f3nicas, conta-nos a hist\u00f3ria da \u00e9poca em que elas foram tiradas do papel.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_12522' onClick='GTTabs_show(1,12522)'>Epis\u00f3dio 2 &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_12522'>\n<span class='GTTabs_titles'><b>Epis\u00f3dio 2<\/b><\/span><\/p>\n<h5>Os Elementos<\/h5>\n<p>Depois de conhecer o Egito, viajamos com o narrador a outra terra antiga: Atenas, na Gr\u00e9cia, onde pensadores da Sociedade de Pit\u00e1goras empregavam a l\u00f3gica e a raz\u00e3o para colocar em pr\u00e1tica as constru\u00e7\u00f5es feitas a partir dos fundamentos que tinham herdado dos eg\u00edpcios. Nas pir\u00e2mides e na Babil\u00f3nia, Pit\u00e1goras enxergou formas geom\u00e9tricas, medidas e n\u00fameros que se aplicam ao seu famoso teorema. O document\u00e1rio mostra porque, ent\u00e3o, a f\u00f3rmula dos tri\u00e2ngulos ret\u00e2ngulos ganhou o nome do fil\u00f3sofo grego, se as suas propor\u00e7\u00f5es j\u00e1 eram conhecidas pelos eg\u00edpcios.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_12522' onClick='GTTabs_show(0,12522)'>&lt;&lt; Epis\u00f3dio 1<\/a><\/span><span class='GTTabs_nav_next'><a href='#GTTabs_ul_12522' onClick='GTTabs_show(2,12522)'>Epis\u00f3dio 3 &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_2_12522'>\n<span class='GTTabs_titles'><b>Epis\u00f3dio 3<\/b><\/span><\/p>\n<h5>A Divindade dos N\u00fameros<\/h5>\n<p>Este epis\u00f3dio d\u00e1 continuidade \u00e0 viagem pelas antigas civiliza\u00e7\u00f5es e chega, desta vez, ao leste do subcontinente indiano, onde descobrimos a origem do n\u00famero zero. Representando tanto o nada quanto a possibilidade infinita, este d\u00edgito \u00fanico, quando usado reservadamente, tornou-se a pedra angular da matem\u00e1tica moderna. O epis\u00f3dio&nbsp;mostra como, junto com os n\u00fameros negativos, esta inova\u00e7\u00e3o abre o leste e oeste para n\u00fameros nunca antes imaginados.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_12522' onClick='GTTabs_show(1,12522)'>&lt;&lt; Epis\u00f3dio 2<\/a><\/span><span class='GTTabs_nav_next'><a href='#GTTabs_ul_12522' onClick='GTTabs_show(3,12522)'>Epis\u00f3dio 4 &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_3_12522'>\n<span class='GTTabs_titles'><b>Epis\u00f3dio 4<\/b><\/span><\/p>\n<h5>O Mundo em Movimento<\/h5>\n<p>O epis\u00f3dio&nbsp;convida a uma viagem no tempo at\u00e9 o per\u00edodo renascentista, na Europa, quando os cientistas europeus estavam ansiosos para usar as f\u00f3rmulas e as filosofias que tinham aprendido com os gregos, a fim de descobrir os segredos matem\u00e1ticos do mundo e do universo. Mostra o desafio feito pelo matem\u00e1tico holand\u00eas Bernoulli; e como esta importante \u00e9poca da hist\u00f3ria testemunhou o alvorecer do c\u00e1lculo diferencial e integral num ambiente t\u00e3o competitivo que dividiu o mundo ocidental.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_12522' onClick='GTTabs_show(2,12522)'>&lt;&lt; Epis\u00f3dio 3<\/a><\/span><span class='GTTabs_nav_next'><a href='#GTTabs_ul_12522' onClick='GTTabs_show(4,12522)'>Epis\u00f3dio 5 &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_4_12522'>\n<span class='GTTabs_titles'><b>Epis\u00f3dio 5<\/b><\/span><\/p>\n<h5>Conquistando Novas Fronteiras da Matem\u00e1tica<\/h5>\n<p>Depois de viajar no tempo durante todas as \u00e9pocas da civiliza\u00e7\u00e3o, o \u00faltimo epis\u00f3dio da s\u00e9rie chega \u00e0 Era Moderna, onde vemos que o esp\u00edrito de inova\u00e7\u00e3o matem\u00e1tica est\u00e1 bastante vivo. O epis\u00f3dio aborda as grandes mentes da atualidade, que t\u00eam procurado resolver algumas das grandes quest\u00f5es matem\u00e1ticas do passado, incluindo o \u00faltimo Teorema de Fermat e a conjetura de Poincar\u00e9. O filme \u00e9 um lembrete de que mesmo depois de tantos mil\u00e9nios de estudos e experimentos, a matem\u00e1tica ainda possui territ\u00f3rios desconhecidos.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_12522' onClick='GTTabs_show(3,12522)'>&lt;&lt; Epis\u00f3dio 4<\/a><\/span><\/div><\/div>\n\n<\/p>\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<h5>RTP2: Vers\u00e3o em l\u00edngua portuguesa<\/h5>\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<style>.embed-container { position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden; max-width: 100%; } .embed-container iframe, .embed-container object, .embed-container embed { position: absolute; top: 0; left: 0; width: 100%; height: 100%; }<\/style><div class=\"embed-container\"><iframe src=\"https:\/\/www.youtube.com\/embed\/videoseries?list=PLX1kPl_biol99wOgNroGDqzszeiOyGiDS\" frameborder=\"0\" allowfullscreen=\"\"><\/iframe><\/div>\n","protected":false},"excerpt":{"rendered":"<p>A guided tour of the history of numbers and how they\u2019ve shaped the development of humankind is at the heart of this unique series. In five episodes that take us across time and around&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":21900,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[4,3,7],"tags":[9,80,200],"series":[],"class_list":["post-12522","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ciencia-e-tecnologia","category-matematica","category-video","tag-historia-da-matematica","tag-matematica-2","tag-video-2"],"views":2043,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2016\/01\/MathAndTheRiseOfCivilization_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12522","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=12522"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12522\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/21900"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12522"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12522"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12522"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=12522"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}