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.

#mathematics #DomainOfScience

If you would like to buy a poster of this map, they are available here:

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.

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.

Here are links to some of the sources I used in this video.

Links:

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.

Find me on twitter, instagram, and my website:

[WGFinc]

“The more you know, the more you know how little you know”
- Someone Smart

[ericzhan]

The funny thing is every single item on the map could probably have a full-scale map of its own.

[allrounder]

I am a Physics undergrad student but trust me, there is nothing that can beat the Math. Math is the most interesting subject ever discovered. You will in love with it once you know how things work there.

[fenil]

"Mathematics is the closest thing to perfection we will have as humans."
- Fenil B

[hussfarsani]

Just realized my current math skills are at the same level as those in 50, 000 BCE.

[thishirokh]

When you find solutions for math it called "pure math"
When math find solutions for you it called "applied math"

[guywhyre]

I got a degree in Applied Math in 1973. If I had seen this video first, I would either have done better and learned and understood more, or I would have changed my major to Bowling. Thank you for a Fantastic Video; I am going to show this to my math & physics anxious nephews, so they have a broader understanding of what math can do to assist their understanding of the physical world. This should be shown to ALL Math and Physics majors in every university, and even to math students in High School. Bravo to You.

[emmared]

I struggle with math in school and always have. I just returned to college at 21 and got an 18/100 on my pre-test for college algebra. Probably the lowest score in the class. I wish people knew that I am actually passionate and excited about math. I wish I could learn all these things, and I hope I get to understand at least some of them someday. Trigonometry was actually my favorite class in high school. I got a C lol.

[HCTripleC]

I'm more amazed at the fact that you didn't try to pitch me a brilliant subscription at the end

[nono-murw]

I love being a math student and coming back here once a semester and tick off more boxes

[SUDEEPSRC]

When I was learning in school I hated mathematics but now I'm passionately learning mathematics for my competitive exams, I love to learn that what feels hard to me and my respectful regards to those mathematics geniuses

[enas]

I am a writer but a few years ago I discovered my curiosity towards mathematics & this video definitely gave me an idea about what I need to cover. People think mathematics can be boring but Alkhayam was both a mathematician & poet. Lewis Carroll was a mathematician. You can be creative at anything you love.

[sreekarg]

“The mathematics we do in school doesn’t quite do the field of mathematics justice.”

So damn true

[colinjava]

Some people think high level maths is just multiplying really big numbers together.

[scottishbananaclan]

I have always hated math and have been a huge history nerd, but this video made me interested in math....somehow. good job :/

[andreyeampierre]

3:01

"Some infinities are bigger then others"
Well it's not the size that matters 😂

[Drakonus_]

The more I learn about things, the less I understand.

[Spookspek]

I wish this is how they explained mathematics in school, instead of hyper-focusing on some specific part taken out of context, telling you it just works and making you do the same menial task over and over.

[momo_userlyqz]

Is it just me or the math being so beautiful that I swear I can enjoy studying this beauty however old I get

[apektua]

I graduated with a BSc. Maths major & Physics minor...I really enjoyed watching the video and vividly recalled learning all of and applying some of them at work. Congrats on the effort in producing this video....enjoyed watching it!!!