The Map of Mathematics

The Map of Mathematics

The complete 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-subjects they are created from.

If you would like to buy a poster of this map, they are offered here: http://www.redbubble.com/individuals/dominicwalliman/works/25095968-the-map-of-mathematics

I have also made a version available for educational use which you can discover here: https://www.flickr.com/photographs/[email protected]/32264483720/in/dateposted-public/

To err is to human, and I human a lot. I usually try my best to be as appropriate as attainable, but however I make mistakes. This is the errata exactly where I right my silly blunders. My goal is to one day do a video with no errors!

1. The quantity 1 is not a prime number. The definition of a prime number is a quantity can be divided evenly only by 1, or itself. And it must be a complete number Greater than 1. (This last bit is the bit I forgot).

two. In the trigonometry section I drew cos(theta) = opposite / adjacent. This is the sort of factor you find out in high college and guess what. I got it wrong! Dummy. It need to be cos(theta) = adjacent / hypotenuse.

three. My drawing of dice is slightly wrong. Most dice have their opposite sides adding up to 7, so when I drew 3 and 4 subsequent to each other that is incorrect.

4. I stated that the Gödel Incompleteness Theorems implied that mathematics is produced up by humans, but that is wrong, just ignore that statement. I have learned much more about it now, here is a excellent video explaining it: https://youtu.be/O4ndIDcDSGc

5. In the animation about imaginary numbers I drew the actual axis as vertical and the imaginary axis as horizontal which is opposite to the standard way it is accomplished.

Thanks so much to my supporters on Patreon. I hope to make funds from my videos a single day, but I’m not there yet! If you enjoy my videos and would like to support me make a lot more this is the best way and I appreciate it really a lot. https://www.patreon.com/domainofscience

Here are hyperlinks to some of the sources I utilised in this video.

Hyperlinks:
Summary of mathematics: https://en.wikipedia.org/wiki/Mathematics
Earliest human counting: http://mathtimeline.weebly.com/early-human-counting-tools.html
Initial use of zero: https://en.wikipedia.org/wiki/#History http://www.livescience.com/27853-who-invented-zero.html
Very first use of damaging numbers: https://www.quora.com/Who-is-the-inventor-of-damaging-numbers
Renaissance science: https://en.wikipedia.org/wiki/History_of_science_in_the_Renaissance
History of complicated numbers: http://rossroessler.tripod.com/ https://en.wikipedia.org/wiki/Mathematics
Proof that pi is irrational: https://www.quora.com/How-do-you-prove-that-pi-is-an-irrational-quantity
and https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Laczkovich.27s_proof

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