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.

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

Also, if you enjoyed this video, you will almost certainly like my science books, accessible in all excellent books shops around the perform and is printed in 16 languages. Hyperlinks are below or just search for Professor Astro Cat. They are exciting children’s books aimed at the age variety 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://nobrow.net/shop/professor-astro-cats-frontiers-of-space/
Intergalactic Activity Book: http://nobrow.net/shop/professor-astro-cats-intergalactic-activity-book/
Solar Technique App: http://www.minilabstudios.com/apps/professor-astro-cats-solar-technique/

Discover me on twitter, instagram, and my site:
http://dominicwalliman.com

https://www.instagram.com/dominicwalliman