The Map of Mathematics
Δημοσιεύτηκε στις 1 Φεβ 2017
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: http://www.redbubble.com/people/domin...
I have also made a version available for educational use which you can find here: https://www.flickr.com/photos/9586967...
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.
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.
https://www.patreon.com/dominicwalliman
Here are links to some of the sources I used in this video.
Links:
Summary of mathematics: https://en.wikipedia.org/wiki/Mathema...
Earliest human counting: http://mathtimeline.weebly.com/early-...
First use of zero: https://en.wikipedia.org/wiki/0#History http://www.livescience.com/27853-who-...
First use of negative numbers: https://www.quora.com/Who-is-the-inve...
Renaissance science: https://en.wikipedia.org/wiki/History...
History of complex numbers: http://rossroessler.tripod.com/ https://en.wikipedia.org/wiki/Mathema...
Proof that pi is irrational: https://www.quora.com/How-do-you-prov...
and https://en.wikipedia.org/wiki/Proof_t...
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://nobrow.net/shop/professor-astr...
Atomic Adventure: http://nobrow.net/shop/professor-astr...
Intergalactic Activity Book: http://nobrow.net/shop/professor-astr...
Solar System App: http://www.minilabstudios.com/apps/pr...
Find me on twitter, instagram, and my website:
http://dominicwalliman.com
https://twitter.com/DominicWalliman
https://www.instagram.com/dominicwall...
https://www.facebook.com/dominicwalliman
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: http://www.redbubble.com/people/domin...
I have also made a version available for educational use which you can find here: https://www.flickr.com/photos/9586967...
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.
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.
https://www.patreon.com/dominicwalliman
Here are links to some of the sources I used in this video.
Links:
Summary of mathematics: https://en.wikipedia.org/wiki/Mathema...
Earliest human counting: http://mathtimeline.weebly.com/early-...
First use of zero: https://en.wikipedia.org/wiki/0#History http://www.livescience.com/27853-who-...
First use of negative numbers: https://www.quora.com/Who-is-the-inve...
Renaissance science: https://en.wikipedia.org/wiki/History...
History of complex numbers: http://rossroessler.tripod.com/ https://en.wikipedia.org/wiki/Mathema...
Proof that pi is irrational: https://www.quora.com/How-do-you-prov...
and https://en.wikipedia.org/wiki/Proof_t...
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://nobrow.net/shop/professor-astr...
Atomic Adventure: http://nobrow.net/shop/professor-astr...
Intergalactic Activity Book: http://nobrow.net/shop/professor-astr...
Solar System App: http://www.minilabstudios.com/apps/pr...
Find me on twitter, instagram, and my website:
http://dominicwalliman.com
https://twitter.com/DominicWalliman
https://www.instagram.com/dominicwall...
https://www.facebook.com/dominicwalliman
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