{"id":177,"date":"2020-03-24T16:08:58","date_gmt":"2020-03-24T16:08:58","guid":{"rendered":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/?p=177"},"modified":"2020-04-03T19:36:31","modified_gmt":"2020-04-03T18:36:31","slug":"stokess-theorem","status":"publish","type":"post","link":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/2020\/03\/24\/stokess-theorem\/","title":{"rendered":"Stokes&#8217;s Theorem"},"content":{"rendered":"\n<p>At the popular request of some of my bored physics peeps, I wrote<a href=\"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/files\/2020\/04\/Stokes.pdf\"> these brief notes<\/a> that show the link between the elegant language of differential forms and peasant vector calculus. In particular, I present Stokes&#8217;s Theorem in its more general form, and show how this form (written in terms of differential forms and the exterior derivative) is an elegant extension of the famous Gauss&#8217;s Theorem and $2D$ Stokes&#8217;s Theorem from elementary vector calculus that are so ubiquitous in physics applications. Enjoy!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>At the popular request of some of my bored physics peeps, I wrote these brief notes that show the link between the elegant language of differential forms and peasant vector calculus. In particular, I present Stokes&#8217;s Theorem in its more general form, and show how this form (written in terms of differential forms and the &hellip; <a href=\"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/2020\/03\/24\/stokess-theorem\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Stokes&#8217;s Theorem&#8221;<\/span><\/a><\/p>\n","protected":false},"author":8158,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[5,6,3,4],"class_list":["post-177","post","type-post","status-publish","format-standard","hentry","category-uncategorised","tag-differential-forms","tag-exterior-derivative","tag-stokes","tag-vector-calculus"],"_links":{"self":[{"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/posts\/177","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/users\/8158"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/comments?post=177"}],"version-history":[{"count":8,"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/posts\/177\/revisions"}],"predecessor-version":[{"id":190,"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/posts\/177\/revisions\/190"}],"wp:attachment":[{"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/media?parent=177"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/categories?post=177"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ncl.ac.uk\/mlgutierrezabed2\/wp-json\/wp\/v2\/tags?post=177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}