{"page":"<link rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-572d6a42.css\" />\n<link rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-f4d0de30.css\" media=\"all\" />\n<div data-title='The Map of Mathematics' data-url='/boclips/videos/5cdefb6d6f3fe04e7bc6c6a2' data-video-url='/boclips/videos/5cdefb6d6f3fe04e7bc6c6a2' id='bo_player_modal'>\n<div class='boclips-resource-page modal-dialog panel-container'>\n<div class='react-notifications-root'></div>\n<div class='rp-header'>\n<div class='rp-type'>\n<i aria-hidden='true' class='fai fa-regular fa-circle-play'></i>\nVideo\n</div>\n<h1 class='rp-title' id='video-title'>\nThe Map of Mathematics\n</h1>\n<div class='rp-actions'>\n<div class='mr-1'>\n<a class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"><span><span>Get Free Access</span><span class=\"\"> for 10 Days</span><span>!</span></span></a>\n</div>\n</div>\n</div>\n<div class='rp-body'>\n<div class='rp-info'>\n<div aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'>&times;</div>\n<i aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'></i>\n<i aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'></i>\n<div class='rp-rating'>\n<span class='resource-pool'>\n<span class='pool-label'>Publisher:</span>\n<span class='pool-name'>\n<span class='text'><a data-publisher-id=\"30356161\" href=\"/search?publisher_ids%5B%5D=30356161\">Domain of Science</a></span>\n</span>\n</span>\n</div>\n<div class='rp-description'>\n<span class='short-description'>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. If you would like to buy a poster of this map, they...</span>\n<span class='full-description hide'>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. If you would like to buy a poster of this map, they are available here: North <a href='https://store.dftba.com/products/map-of-mathematics-poster' target='_blank' rel='nofollow'>America</a> Everywhere <a href='http://www.redbubble.com/people/dominicwalliman/works/25095968-the-map-of-mathematics' target='_blank' rel='nofollow'>else</a> I have also made a version available for educational use which you can find <a href='https://www.flickr.com/photos/95869671@N08/32264483720/in/dateposted-public/' target='_blank' rel='nofollow'>here</a> 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 <a href='https://youtu.be/O4ndIDcDSGc' target='_blank' rel='nofollow'>it</a> 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 <a href='https://www.patreon.com/domainofscience' target='_blank' rel='nofollow'>much.</a> Here are links to some of the sources I used in this video. Links: Summary of <a href='<a href='https://en.wikipedia.org/wiki/Mathematics' target='_blank' rel='nofollow'></a>' target='_blank' rel='nofollow'>mathematics</a> Earliest human <a href='http://mathtimeline.weebly.com/early-human-counting-tools.html' target='_blank' rel='nofollow'>counting</a> First use of <a href='https://en.wikipedia.org/wiki/0#History' target='_blank' rel='nofollow'>zero</a> <a href='http://www.livescience.com/27853-who-invented-zero.html' target='_blank' rel='nofollow'></a> First use of negative <a href='https://www.quora.com/Who-is-the-inventor-of-negative-numbers' target='_blank' rel='nofollow'>numbers</a> Renaissance <a href='https://en.wikipedia.org/wiki/History_of_science_in_the_Renaissance' target='_blank' rel='nofollow'>science</a> History of complex <a href='http://rossroessler.tripod.com/' target='_blank' rel='nofollow'>numbers</a> <a href='https://en.wikipedia.org/wiki/Mathematics' target='_blank' rel='nofollow'></a> Proof that pi is <a href='https://www.quora.com/How-do-you-prove-that-pi-is-an-irrational-number' target='_blank' rel='nofollow'>irrational</a> <a href='https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Laczkovich.27s_proof' target='_blank' rel='nofollow'>and</a> 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 <a href='http://nobrow.net/shop/professor-astro-cats-frontiers-of-space/' target='_blank' rel='nofollow'>Space</a> Atomic <a href='http://nobrow.net/shop/professor-astro-cats-atomic-adventure/' target='_blank' rel='nofollow'>Adventure</a> Intergalactic Activity <a href='http://nobrow.net/shop/professor-astro-cats-intergalactic-activity-book/' target='_blank' rel='nofollow'>Book</a> Solar System <a href='http://www.minilabstudios.com/apps/professor-astro-cats-solar-system/' target='_blank' rel='nofollow'>App</a> Find me on twitter, instagram, and my <a href='http://dominicwalliman.com' target='_blank' rel='nofollow'>website</a> <a href='https://twitter.com/DominicWalliman' target='_blank' rel='nofollow'></a> <a href='https://www.instagram.com/dominicwalliman' target='_blank' rel='nofollow'></a> <a href='https://www.facebook.com/dominicwalliman' target='_blank' rel='nofollow'></a></span>\n</div>\n<div class='action-container flex justify-between'>\n<button aria-expanded='false' aria-label='Read more description' class='rp-full-description' type='button'>\n<i class='fai fa-solid fa-align-left'></i>\n<span id='read_more'>Read More</span>\n</button>\n<div class='rp-report'>\n</div>\n</div>\n<div aria-labelledby='resource-details-heading' class='rp-info-section'>\n<h2 class='title' id='resource-details-heading'>Resource Details</h2>\n<div class='rp-resource-details clearfix'>\n<div class='detail'>\n<dl>\n<dt>Curator Rating</dt>\n<dd><span class=\"star-rating\" aria-label=\"4.0 out of 5 stars\" role=\"img\"><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-regular fa-star text-action\" aria-hidden=\"true\"></i></span></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt class=\"educator-rating-title\">Educator Rating</dt><dd><div class=\"educator-rating-details\" data-path=\"/educator_ratings/rrp_data?resourceable_id=78933&amp;resourceable_type=Boclips%3A%3AVideoMetadata\"><span class=\"not-yet-rated\">Not yet Rated</span></div></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Grade</dt><dd title=\"Grade\">6th - 11th</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Subjects</dt><dd><span><a href=\"/search?grade_ids%5B%5D=252&amp;grade_ids%5B%5D=253&amp;grade_ids%5B%5D=254&amp;grade_ids%5B%5D=255&amp;grade_ids%5B%5D=256&amp;grade_ids%5B%5D=257&amp;search_tab_id=1&amp;subject_ids%5B%5D=1216220\">All Subjects</a></span></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Media Type</dt><dd><span><a href=\"/search?grade_ids%5B%5D=252&amp;grade_ids%5B%5D=253&amp;grade_ids%5B%5D=254&amp;grade_ids%5B%5D=255&amp;grade_ids%5B%5D=256&amp;grade_ids%5B%5D=257&amp;search_tab_id=2&amp;type_ids%5B%5D=4543647\">Instructional Videos</a></span></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Source:</dt>\n<dd></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Date</dt>\n<dd>2019</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<i aria-hidden='true' class='fai fa-solid fa-language'></i>\n\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Audiences</dt><dd><span><a href=\"/search?audience_ids%5B%5D=371079&amp;grade_ids%5B%5D=252&amp;grade_ids%5B%5D=253&amp;grade_ids%5B%5D=254&amp;grade_ids%5B%5D=255&amp;grade_ids%5B%5D=256&amp;grade_ids%5B%5D=257&amp;search_tab_id=1\">For Teacher Use</a></span></dd><dd class=\"text-muted\"><i class=\"fa-solid fa-lock mr5\"></i>2 more...</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n\n</dl>\n</div>\n</div>\n</div>\n<div aria-labelledby='educator-ratings-heading' class='rp-info-section'>\n<h2 class='title sr-only' id='educator-ratings-heading'>Educator Ratings</h2>\n<div id=\"educator-ratings-root\"></div><div id=\"all-educator-ratings-root\"></div><div id=\"educator-rating-form-root\"></div>\n</div>\n</div>\n<div class='rp-resource'>\n<div aria-label='Show resource details' class='rp-show-info' role='button' tabindex='0'>\n<i class='fai fa-solid fa-align-left'></i>\nShow resource details\n</div>\n<div aria-label='Video player' class='player' id='player-wrapper' role='region'>\n<div class='relative container mx-auto' id='lp-boclips-visitor-thumbnail'>\n<a class=\"block\" data-html=\"true\" data-placement=\"bottom\" data-trigger=\"click\" data-content=\"<div class=&quot;text-center py-2&quot;><a class=&quot;bold&quot; 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