the ULTIMATE Mathematics Iceberg
Вставка
- Опубліковано 3 чер 2024
- Please like and subscribe if you enjoyed the video :D
the ULTIMATE Mathematics Iceberg :)
In this video, we will be discussing the ULTIMATE mathematics iceberg. From the easiest and most common math at the top, to math so difficult that even mathematicians struggle at, I will be covering every single math concept.
/TIMESTAMPS/
0:00・Intro
0:17・Level 1
1:24・Level 2
2:52・Level 3
4:32・Level 4
6:21・Level 5
8:12・Level 6
10:00・Level 7
Credits :
LEMMiNO - Nocturnal, Cosmic Solitude, Cipher, Firecracker, Biosignature, Siberian, Encounters.
/ @lemminomusic
CC BY-SA 4.0
This is literally high school level math with the bottom layer being introductory college level, this needs at least 5 more layers
Yeah like where is the analysis at, where are the numbers at, where is counting and probability, where is stat, where is the monster (my favorite)?
He needs at least 30 more layers If He would Go on like this lmao
@@Sawatzel real
The bottom layer is far from intro. It’s just being covered briefly. At my school, you take most these classes by before senior year
Tbh there can be way more layers than that. There are so many more topics that can be discussed so this was probably for the average person who just wanted to learn something new
This math iceberg applies to high school math. The 7th layer subjects are seen in 1st year undergraduated
I think the most advanced is by far number theory. Whereas the others have practical use, number theory is very rigid in its use - the only example that comes to my mind is cryptography.
You did abstract your first yr of undergrad? That'd usually a 3rd/4th yr undergrad course
SFD
@@codislife3095US?
First layer: real analysis, geometry, linear algebra, number theory
Second layer: complex analysis, group theory, ring theory, field theory, galois theory, measure theory, differential equations, differential geometry, functional analysis, (general) topology, algebraic topology
Third tier: algebraic geometry, representation theory, homology theory, category theory
Don't forget about modern algebra and noneuclidean geometry. Lets not forget Advanced calculus
order theorr
Fourth layer: Motivic homotopy theory, k-theory, calabi yau manifolds, étale cohomology theory, inter universal teichmüller theory
this not at all advanced
You‘re so right. Stopping at linear algebra and calculus is like end of highschool level.
Bro diff eq is literally the start of the iceberg for any math major.
This is a very simplified iceberg missing many topics of math that could fit deeper into that naive iceberg.
Where are complex analysis, group theory, set theory, category theory, topology, combinatorics in this iceberg ? They shouldn't be missed...
It was a pleasure to see maths compressed in such a short time.. Great work sir
im asian but a lazy stoner always been naturally gifted with math its like calming to me but never cared to apply it fully. recently i reconnected with my friend from IT class he is autistic and when i was smoking talking to him on discord doing his homework we started talking about concepts of math and i was always like 'why do these concepts even matter' similar to a kid in school being like 'when will i ever need to know this' but with his autism he actually gave me a very fair in depth answer that made me appreciate and see math differently. if people watched this video and had more understanding of what levels of math do what i feel like a lot more people wouldn't be bored out of their mind to just get a passing grade and retain these things. i sure as hell didn't but now i almost want to go back to school to learn and understand math more. ive also always been a person who never understood 'why do i have to show my work' but now that i understand that math can also be used as a measurement of travel to see if both minds can go to the same place or not i low key think thats sick and with the coffee cooling down thing i think about things to a physical level in my head always similar to that so that sounds fun asf to learn LOL. numbers to my mind feel like shapes
Wow, you really are asian
I'm asian too
Holy shit it’s me you and I are twins
Cool but I aint readin all'at You wrote a whole ahh essay 💀
I came up with something like the "3x+1 problem", I even explained the conjecture. But my 8th grade judges thought it was dumb 😢
That's just how adults are
Fr 😭
zx
can you elaborate
Can you explain it like doing a video on your channel?
By the last layer, there should already be category theory, representation theory, differential topology/geometry, sub-areas of functional analysis like K-Theory and C*-Algebras, etc.
9:06 what the heck
Amazing explanation, Best video from this type i must say.
Linear algebra and calculus (real analysis) is the beginning of freshman math major. There so many other branches
great work man
Fun fact::: it's not just 3n+1.. But also n+1
This is just high school maths. IMO the bottom of the iceberg is where the iceberg gets real; keep going
Wheres complex analysis
inter universal teichmuller theory at the core of the earth:
Mythical recommended find
Nah level 1 to level 6 should be tip of the iceberg
No complex numbers? 😔
I hate i
@@zoher4485i love i
Yea tbf this video was only for the people with a curious mind. Not really hard at all. I am in grade 11 and I knew almost all of these
3:59 Polynomials or infinite polynomials (e=Σ1/n!)
most of these should be in the top layer because how is calc ab all the way down there?
great video but in my opinion mathematics goes way deeper then what was presented in this video .
This video shows only the visible part of the mathematics, we are far from the botom
where's non standard analysis
the quality of video is unreal. your channel should have more than a million subscribers and im not even bluffing, you deserve it! you've earned yourself a loyal subscriber.
Underrated channel alert!!
Hate to break it to you, but calculus is introductory college math, calculus should not be close to something like abstract algebra, or real analysis, also missed a lot like topology non Euclidean geometry algebraic geometry, ect.
You forgot complex and real analysis, and topology
👌🏻✨
Ayo where tf are imaginary(lateral) numbers? Shouldn’t they be before even precalc on this list?
when i was in 3rd grade we were doing the 3rd level-
There is no way you learned rational expressions in 3rd grade
@@paulspielvogle290 im not joking💀💀
@@Midnightenlight HUH?
Maybe he just has a different school system. Otherwise he's lying
@@Midnightenlight you're not joking, you're lying.
The algorithm has blessed me again
Last level should be first or second
Arent Quadratic equations, exponential equations and factoring also part of polynomials
Quadratic, yes
But exponential, no
I SAW35- IN STACRCH
Linear Algebra 💀
this vid will get viral
Bad iceburg
I proof it question 3x+1,even/2=4 2 1?right.
Thats not a proof. A proof doesnt just show something holds for a few cases it shows it is true for ALL cases. If I did find a counter example to that it would disprove it. But if I found examples no matter how many I did, it would not prove it.
What is bro trying to cook 🔥
It forgot the imaginary numbers known as complex numbers.
Great
american maths iceberg