{"id":239278,"date":"2026-06-18T22:09:32","date_gmt":"2026-06-19T03:09:32","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2026\/06\/how-divergence-and-curl-were-discovered"},"modified":"2026-06-18T22:09:32","modified_gmt":"2026-06-19T03:09:32","slug":"how-divergence-and-curl-were-discovered","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2026\/06\/how-divergence-and-curl-were-discovered","title":{"rendered":"How Divergence and Curl Were Discovered"},"content":{"rendered":"<p><\/p>\n<p><iframe style=\"display: block; margin: 0 auto; width: 100%; aspect-ratio: 4\/3; object-fit: contain;\" src=\"https:\/\/www.youtube.com\/embed\/11QvV18JGQM?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope;\n   picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>Go to <a href=\"https:\/\/surfshark.com\/abidebyreason\">https:\/\/surfshark.com\/abidebyreason<\/a> or use code ABIDEBYREASON at checkout to get 4 extra months of Surfshark VPN!<\/p>\n<p>Join my Patreon: \/ abidebyreason.<\/p>\n<p>_____<br \/> This video is about how Divergence and Curl, along with the theory of Vector Analysis was discovered.<\/p>\n<p>_____<br \/> Image Credits:<br \/>\n<a href=\"https:\/\/commons.wikimedia.org\/wiki\/Fi\">https:\/\/commons.wikimedia.org\/wiki\/Fi<\/a>\u2026, <a href=\"https:\/\/creativecommons.org\/licenses\/.\">https:\/\/creativecommons.org\/licenses\/.<\/a>\u2026 Approaching a Black Hole: NASA\u2019s Scientific Visualization Studio \u2014 Caltech-IPAC\/Robert Hurt, Caltech-IPAC\/Keith Miller, NASA\/JPL\/Chelsea Gohd, Global Science and Technology, Inc.\/Ella Kaplan, NASA\/GSFC\/Mark SubbaRao Many more images that are public domain from wikimedia commons _____ Sources: Vector, A Surprising Story of Space, Time, and Mathematical Transformation by Robyn Arianrhod A History of Vector Analysis by Michael J. Crose Maxwell\u2019s Treatise on Electricity and Magnetism + A Dynamical Theory of the Electromagnetic Field Great videos by Kathy Loves Physics: <img class=\"\" alt=\"\"> \u2022 Quaternions are Amazing and so is William\u2026, <img class=\"\" alt=\"\"> \u2022 How Maxwell\u2019s Equations (and Quaternions)\u2026 _____ Corrections: 15:12 \u2014 on screen it should read \u201cborn in Scotland 1831\u2033 instead of 1931 _____ Music: Epidemic Sound Animations created using Manim: <a href=\"https:\/\/www.manim.community\/\">https:\/\/www.manim.community\/<\/a> Illustrations and Thumbnails: Christine Kosakowski This video was sponsored by Surfshark.<br \/>\n<a href=\"https:\/\/commons.wikimedia.org\/wiki\/Fi\">https:\/\/commons.wikimedia.org\/wiki\/Fi<\/a>\u2026, <a href=\"https:\/\/creativecommons.org\/licenses\/.\">https:\/\/creativecommons.org\/licenses\/.<\/a>\u2026<br \/> Approaching a Black Hole: NASA\u2019s Scientific Visualization Studio \u2014 Caltech-IPAC\/Robert Hurt, Caltech-IPAC\/Keith Miller, NASA\/JPL\/Chelsea Gohd, Global Science and Technology, Inc.\/Ella Kaplan, NASA\/GSFC\/Mark SubbaRao.<\/p>\n<p>Many more images that are public domain from wikimedia commons.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Go to https:\/\/surfshark.com\/abidebyreason or use code ABIDEBYREASON at checkout to get 4 extra months of Surfshark VPN! Join my Patreon: \/ abidebyreason. _____ This video is about how Divergence and Curl, along with the theory of Vector Analysis was discovered. _____ Image Credits: https:\/\/commons.wikimedia.org\/wiki\/Fi\u2026, https:\/\/creativecommons.org\/licenses\/.\u2026 Approaching a Black Hole: NASA\u2019s Scientific Visualization Studio \u2014 Caltech-IPAC\/Robert [\u2026]<\/p>\n","protected":false},"author":556,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[33,41,2229,219],"tags":[],"class_list":["post-239278","post","type-post","status-publish","format-standard","hentry","category-cosmology","category-information-science","category-mathematics","category-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/239278","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/556"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=239278"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/239278\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=239278"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=239278"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=239278"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}