{"id":215628,"date":"2025-06-08T13:12:50","date_gmt":"2025-06-08T18:12:50","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2025\/06\/the-map-of-mathematics"},"modified":"2025-06-08T13:12:50","modified_gmt":"2025-06-08T18:12:50","slug":"the-map-of-mathematics","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2025\/06\/the-map-of-mathematics","title":{"rendered":"The Map of Mathematics"},"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\/OmJ-4B-mS-Y?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope;\n   picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.<\/p>\n<p>#mathematics #DomainOfScience.<\/p>\n<p>If you would like to buy a poster of this map, they are available here:<br \/> North America: <a href=\"https:\/\/store.dftba.com\/products\/map-\">https:\/\/store.dftba.com\/products\/map\u2013<\/a>\u2026 else: <a href=\"http:\/\/www.redbubble.com\/people\/domin\">http:\/\/www.redbubble.com\/people\/domin<\/a>\u2026 French version: <a href=\"https:\/\/www.redbubble.com\/people\/domi\">https:\/\/www.redbubble.com\/people\/domi<\/a>\u2026 Spanish Version: <a href=\"https:\/\/www.redbubble.com\/people\/domi\">https:\/\/www.redbubble.com\/people\/domi<\/a>\u2026 I have also made a version available for educational use which you can find here: <a href=\"https:\/\/www.flickr.com\/photos\/9586967\">https:\/\/www.flickr.com\/photos\/9586967<\/a>\u2026 To err is to human, and I human a lot. I always try my best to be as correct as possible, but unfortunately I make mistakes. This is the errata where I correct my silly mistakes. My goal is to one day do a video with no errors! 1. The number one is not a prime number. The definition of a prime number is a number can be divided evenly only by 1, or itself. And it must be a whole number GREATER than 1. (This last bit is the bit I forgot). 2. In the trigonometry section I drew cos(theta) = opposite \/ adjacent. This is the kind of thing you learn in high school and guess what. I got it wrong! Dummy. It should be cos(theta) = adjacent \/ hypotenuse. 3. My drawing of dice is slightly wrong. Most dice have their opposite sides adding up to 7, so when I drew 3 and 4 next to each other that is incorrect. 4. I said that the G\u00f6del Incompleteness Theorems implied that mathematics is made up by humans, but that is wrong, just ignore that statement. I have learned more about it now, here is a good video explaining it: <img alt=\"\" class=\"\"> \u2022 G\u00f6del\u2019s Incompleteness Theorem \u2014 Numberphile 5. In the animation about imaginary numbers I drew the real axis as vertical and the imaginary axis as horizontal which is opposite to the conventional way it is done. Thanks so much to my supporters on Patreon. I hope to make money from my videos one day, but I\u2019m not there yet! If you enjoy my videos and would like to help me make more this is the best way and I appreciate it very much. <img alt=\"\" class=\"\"> \/ domainofscience Here are links to some of the sources I used in this video. Links: Summary of mathematics: <a href=\"https:\/\/en.wikipedia.org\/wiki\/Mathema\">https:\/\/en.wikipedia.org\/wiki\/Mathema<\/a>\u2026 Earliest human counting: <a href=\"http:\/\/mathtimeline.weebly.com\/early-\">http:\/\/mathtimeline.weebly.com\/early\u2013<\/a>\u2026 First use of zero: <a href=\"https:\/\/en.wikipedia.org\/wiki\/0#History\">https:\/\/en.wikipedia.org\/wiki\/0#History<\/a> <a href=\"http:\/\/www.livescience.com\/27853-who-\">http:\/\/www.livescience.com\/27853-who\u2013<\/a>\u2026 First use of negative numbers: <a href=\"https:\/\/www.quora.com\/Who-is-the-inve\">https:\/\/www.quora.com\/Who-is-the-inve<\/a>\u2026 Renaissance science: <a href=\"https:\/\/en.wikipedia.org\/wiki\/History\">https:\/\/en.wikipedia.org\/wiki\/History<\/a>\u2026 History of complex numbers: <a href=\"http:\/\/rossroessler.tripod.com\/\">http:\/\/rossroessler.tripod.com\/<\/a> <a href=\"https:\/\/en.wikipedia.org\/wiki\/Mathema\">https:\/\/en.wikipedia.org\/wiki\/Mathema<\/a>\u2026 Proof that pi is irrational: <a href=\"https:\/\/www.quora.com\/How-do-you-prov\">https:\/\/www.quora.com\/How-do-you-prov<\/a>\u2026 and <a href=\"https:\/\/en.wikipedia.org\/wiki\/Proof_t\">https:\/\/en.wikipedia.org\/wiki\/Proof_t<\/a>\u2026 Also, if you enjoyed this video, you will probably like my science books, available in all good books shops around the work and is printed in 16 languages. Links are below or just search for Professor Astro Cat. They are fun children\u2019s books aimed at the age range 7\u201312. But they are also a hit with adults who want good explanations of science. The books have won awards and the app won a Webby. Frontiers of Space: <a href=\"http:\/\/nobrow.net\/shop\/professor-astr\">http:\/\/nobrow.net\/shop\/professor-astr<\/a>\u2026 Atomic Adventure: <a href=\"http:\/\/nobrow.net\/shop\/professor-astr\">http:\/\/nobrow.net\/shop\/professor-astr<\/a>\u2026 Intergalactic Activity Book: <a href=\"http:\/\/nobrow.net\/shop\/professor-astr\">http:\/\/nobrow.net\/shop\/professor-astr<\/a>\u2026 Solar System App: Find me on twitter, instagram, and my website: <a href=\"http:\/\/dominicwalliman.com\">http:\/\/dominicwalliman.com<\/a> <img alt=\"\" class=\"\"> \/ dominicwalliman <img alt=\"\" class=\"\"> \/ dominicwalliman <img alt=\"\" class=\"\"> \/ dominicwalliman.<br \/> Everywhere else: <a href=\"http:\/\/www.redbubble.com\/people\/domin\">http:\/\/www.redbubble.com\/people\/domin<\/a>\u2026<br \/> French version: <a href=\"https:\/\/www.redbubble.com\/people\/domi\">https:\/\/www.redbubble.com\/people\/domi<\/a>\u2026<br \/> Spanish Version: <a href=\"https:\/\/www.redbubble.com\/people\/domi\">https:\/\/www.redbubble.com\/people\/domi<\/a>\u2026<\/p>\n<p>I have also made a version available for educational use which you can find here: <a href=\"https:\/\/www.flickr.com\/photos\/9586967\">https:\/\/www.flickr.com\/photos\/9586967<\/a>\u2026<\/p>\n<p>To err is to human, and I human a lot. I always try my best to be as correct as possible, but unfortunately I make mistakes. This is the errata where I correct my silly mistakes. My goal is to one day do a video with no errors!<\/p>\n<p>1. The number one is not a prime number. The definition of a prime number is a number can be divided evenly only by 1, or itself. And it must be a whole number GREATER than 1. (This last bit is the bit I forgot).<\/p>\n<div class=\"more-link-wrapper\"> <a class=\"more-link\" href=\"https:\/\/lifeboat.com\/blog\/2025\/06\/the-map-of-mathematics\">Continue reading \u201cThe Map of Mathematics\u201d | &gt;<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from. #mathematics #DomainOfScience. If you would like to buy a poster of this map, they are available here: North America: https:\/\/store.dftba.com\/products\/map\u2013\u2026 else: http:\/\/www.redbubble.com\/people\/domin\u2026 French version: [\u2026]<\/p>\n","protected":false},"author":709,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[32,2229,8],"tags":[],"class_list":["post-215628","post","type-post","status-publish","format-standard","hentry","category-education","category-mathematics","category-space"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/215628","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\/709"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=215628"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/215628\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=215628"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=215628"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=215628"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}