The Map of Mathematics

The Map of Mathematics

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: https://rdbl.co/2jMBX5y I have also made a version available for educational use which you can find here: http://bit.ly/2ky8MaY 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 it: https://youtu.be/O4ndIDcDSGc 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 much. http://bit.ly/2pAJE3i Here are links to some of the sources I used in this video. Links: Summary of mathematics: http://bit.ly/1ih9AH8 Earliest human counting: http://bit.ly/2jMKgy4 First use of zero: http://bit.ly/2kye1qY http://bit.ly/1kll6m0 First use of negative numbers: http://bit.ly/2kydZPS Renaissance science: http://bit.ly/2jMHglp History of complex numbers: http://bit.ly/2ky5mVq http://bit.ly/1ih9AH8 Proof that pi is irrational: http://bit.ly/2jMDGbf and http://bit.ly/2kynm1X 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 Space: http://bit.ly/2d3w8PV Atomic Adventure: http://bit.ly/2iw8P52 Intergalactic Activity Book: http://bit.ly/2irn9bO Solar System App: http://bit.ly/1Q3EzGM Find me on twitter, instagram, and my website: http://bit.ly/2gQaD8O https://twitter.com/DominicWalliman http://bit.ly/2iwfpbN http://bit.ly/2irwyjD
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