{"page":"\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-572d6a42.css\" /\u003e\n\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-f4d0de30.css\" media=\"all\" /\u003e\n\u003cdiv data-title='The Map of Mathematics' data-url='/boclips/videos/5cdefb6d6f3fe04e7bc6c6a2' data-video-url='/boclips/videos/5cdefb6d6f3fe04e7bc6c6a2' id='bo_player_modal'\u003e\n\u003cdiv class='boclips-resource-page modal-dialog panel-container'\u003e\n\u003cdiv class='react-notifications-root'\u003e\u003c/div\u003e\n\u003cdiv class='rp-header'\u003e\n\u003cdiv class='rp-type'\u003e\n\u003ci aria-hidden='true' class='fai fa-regular fa-circle-play'\u003e\u003c/i\u003e\nVideo\n\u003c/div\u003e\n\u003ch1 class='rp-title' id='video-title'\u003e\nThe Map of Mathematics\n\u003c/h1\u003e\n\u003cdiv class='rp-actions'\u003e\n\u003cdiv class='mr-1'\u003e\n\u003ca class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"\u003e\u003cspan\u003e\u003cspan\u003eGet Free Access\u003c/span\u003e\u003cspan class=\"\"\u003e for 10 Days\u003c/span\u003e\u003cspan\u003e!\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-body'\u003e\n\u003cdiv class='rp-info'\u003e\n\u003cdiv aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'\u003e\u0026times;\u003c/div\u003e\n\u003ci aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003ci aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003cdiv class='rp-rating'\u003e\n\u003cspan class='resource-pool'\u003e\n\u003cspan class='pool-label'\u003ePublisher:\u003c/span\u003e\n\u003cspan class='pool-name'\u003e\n\u003cspan class='text'\u003e\u003ca data-publisher-id=\"30356161\" href=\"/search?publisher_ids%5B%5D=30356161\"\u003eDomain of Science\u003c/a\u003e\u003c/span\u003e\n\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-description'\u003e\n\u003cspan class='short-description'\u003eThe 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. If you would like to buy a poster of this map, they...\u003c/span\u003e\n\u003cspan class='full-description hide'\u003eThe 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. If you would like to buy a poster of this map, they are available here: North \u003ca href='https://store.dftba.com/products/map-of-mathematics-poster' target='_blank' rel='nofollow'\u003eAmerica\u003c/a\u003e Everywhere \u003ca href='http://www.redbubble.com/people/dominicwalliman/works/25095968-the-map-of-mathematics' target='_blank' rel='nofollow'\u003eelse\u003c/a\u003e I have also made a version available for educational use which you can find \u003ca href='https://www.flickr.com/photos/95869671@N08/32264483720/in/dateposted-public/' target='_blank' rel='nofollow'\u003ehere\u003c/a\u003e 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 Gödel 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 \u003ca href='https://youtu.be/O4ndIDcDSGc' target='_blank' rel='nofollow'\u003eit\u003c/a\u003e 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’m 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 \u003ca href='https://www.patreon.com/domainofscience' target='_blank' rel='nofollow'\u003emuch.\u003c/a\u003e Here are links to some of the sources I used in this video. Links: Summary of \u003ca href='\u003ca href='https://en.wikipedia.org/wiki/Mathematics' target='_blank' rel='nofollow'\u003e\u003c/a\u003e' target='_blank' rel='nofollow'\u003emathematics\u003c/a\u003e Earliest human \u003ca href='http://mathtimeline.weebly.com/early-human-counting-tools.html' target='_blank' rel='nofollow'\u003ecounting\u003c/a\u003e First use of \u003ca href='https://en.wikipedia.org/wiki/0#History' target='_blank' rel='nofollow'\u003ezero\u003c/a\u003e \u003ca href='http://www.livescience.com/27853-who-invented-zero.html' target='_blank' rel='nofollow'\u003e\u003c/a\u003e First use of negative \u003ca href='https://www.quora.com/Who-is-the-inventor-of-negative-numbers' target='_blank' rel='nofollow'\u003enumbers\u003c/a\u003e Renaissance \u003ca href='https://en.wikipedia.org/wiki/History_of_science_in_the_Renaissance' target='_blank' rel='nofollow'\u003escience\u003c/a\u003e History of complex \u003ca href='http://rossroessler.tripod.com/' target='_blank' rel='nofollow'\u003enumbers\u003c/a\u003e \u003ca href='https://en.wikipedia.org/wiki/Mathematics' target='_blank' rel='nofollow'\u003e\u003c/a\u003e Proof that pi is \u003ca href='https://www.quora.com/How-do-you-prove-that-pi-is-an-irrational-number' target='_blank' rel='nofollow'\u003eirrational\u003c/a\u003e \u003ca href='https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Laczkovich.27s_proof' target='_blank' rel='nofollow'\u003eand\u003c/a\u003e 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's books aimed at the age range 7-12. 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 \u003ca href='http://nobrow.net/shop/professor-astro-cats-frontiers-of-space/' target='_blank' rel='nofollow'\u003eSpace\u003c/a\u003e Atomic \u003ca href='http://nobrow.net/shop/professor-astro-cats-atomic-adventure/' target='_blank' rel='nofollow'\u003eAdventure\u003c/a\u003e Intergalactic Activity \u003ca href='http://nobrow.net/shop/professor-astro-cats-intergalactic-activity-book/' target='_blank' rel='nofollow'\u003eBook\u003c/a\u003e Solar System \u003ca href='http://www.minilabstudios.com/apps/professor-astro-cats-solar-system/' target='_blank' rel='nofollow'\u003eApp\u003c/a\u003e Find me on twitter, instagram, and my \u003ca href='http://dominicwalliman.com' target='_blank' rel='nofollow'\u003ewebsite\u003c/a\u003e \u003ca href='https://twitter.com/DominicWalliman' target='_blank' rel='nofollow'\u003e\u003c/a\u003e \u003ca href='https://www.instagram.com/dominicwalliman' target='_blank' rel='nofollow'\u003e\u003c/a\u003e \u003ca href='https://www.facebook.com/dominicwalliman' target='_blank' rel='nofollow'\u003e\u003c/a\u003e\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='action-container flex justify-between'\u003e\n\u003cbutton aria-expanded='false' aria-label='Read more description' class='rp-full-description' type='button'\u003e\n\u003ci class='fai fa-solid fa-align-left'\u003e\u003c/i\u003e\n\u003cspan id='read_more'\u003eRead More\u003c/span\u003e\n\u003c/button\u003e\n\u003cdiv class='rp-report'\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv aria-labelledby='resource-details-heading' class='rp-info-section'\u003e\n\u003ch2 class='title' id='resource-details-heading'\u003eResource Details\u003c/h2\u003e\n\u003cdiv class='rp-resource-details clearfix'\u003e\n\u003cdiv class='detail'\u003e\n\u003cdl\u003e\n\u003cdt\u003eCurator Rating\u003c/dt\u003e\n\u003cdd\u003e\u003cspan class=\"star-rating\" aria-label=\"4.0 out of 5 stars\" role=\"img\"\u003e\u003ci class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"\u003e\u003c/i\u003e\u003ci class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"\u003e\u003c/i\u003e\u003ci class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"\u003e\u003c/i\u003e\u003ci class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"\u003e\u003c/i\u003e\u003ci class=\"fa-regular fa-star text-action\" aria-hidden=\"true\"\u003e\u003c/i\u003e\u003c/span\u003e\u003c/dd\u003e\n\u003c/dl\u003e\n\u003c/div\u003e\n\u003cdiv class='detail'\u003e\n\u003cdl\u003e\n\u003cdt class=\"educator-rating-title\"\u003eEducator Rating\u003c/dt\u003e\u003cdd\u003e\u003cdiv class=\"educator-rating-details\" data-path=\"/educator_ratings/rrp_data?resourceable_id=78933\u0026amp;resourceable_type=Boclips%3A%3AVideoMetadata\"\u003e\u003cspan class=\"not-yet-rated\"\u003eNot yet Rated\u003c/span\u003e\u003c/div\u003e\u003c/dd\u003e\n\u003c/dl\u003e\n\u003c/div\u003e\n\u003cdiv class='detail'\u003e\n\u003cdl\u003e\n\u003cdt\u003eGrade\u003c/dt\u003e\u003cdd title=\"Grade\"\u003e6th - 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