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:

I have also made a version available for educational use which you can discover here:[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:

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.

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

Summary of mathematics:
Earliest human counting:
Initial use of zero:
Very first use of damaging numbers:
Renaissance science:
History of complicated numbers:
Proof that pi is irrational:

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