{"id":3208,"date":"2022-02-03T01:00:34","date_gmt":"2022-02-03T06:00:34","guid":{"rendered":"http:\/\/brickisland.net\/DDGSpring2022\/?p=3208"},"modified":"2022-01-17T17:44:29","modified_gmt":"2022-01-17T22:44:29","slug":"lecture-5-differential-forms","status":"publish","type":"post","link":"https:\/\/brickisland.net\/DDGSpring2022\/2022\/02\/03\/lecture-5-differential-forms\/","title":{"rendered":"Lecture 5: Differential Forms"},"content":{"rendered":"<p><img loading=\"lazy\" src=\"https:\/\/brickisland.net\/DDGSpring2021\/wp-content\/uploads\/2021\/03\/DDG_05_DifferentialForms.jpg\" alt=\"\" width=\"1920\" height=\"1080\" \/><\/p>\n<p>Just as a vector field associates a vector to each point of space, a\u00a0<em>differential k-form<\/em> associates each point of space with a little k-dimensional volume measurement (i.e., a\u00a0<em>k<\/em>-form).\u00a0 We&#8217;ll introduce the basic ideas in today&#8217;s lecture:<\/p>\n<ul>\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=4zicWglBfIE\">Video<\/a><\/li>\n<li><a href=\"http:\/\/brickisland.net\/DDGSpring2022\/wp-content\/uploads\/2021\/03\/DDG_05_DifferentialForms.pdf\">Slides<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Just as a vector field associates a vector to each point of space, a\u00a0differential k-form associates each point of space with a little k-dimensional volume measurement (i.e., a\u00a0k-form).\u00a0 We&#8217;ll introduce the basic ideas in today&#8217;s lecture: Video Slides &nbsp;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[7],"tags":[],"_links":{"self":[{"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/posts\/3208"}],"collection":[{"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/comments?post=3208"}],"version-history":[{"count":8,"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/posts\/3208\/revisions"}],"predecessor-version":[{"id":3444,"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/posts\/3208\/revisions\/3444"}],"wp:attachment":[{"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/media?parent=3208"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/categories?post=3208"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/tags?post=3208"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}