I clicked and immediately paused the video before reaching the 3sec mark, if you do this then leave you're not giving the video any views, take advantage of this to dislike ragebait without giving the creator satisfaction😉
"Partial Differential Equations in Physics" by Arnold Sommerfeld is based on his lectures on Theoretical Physics. It, like other volumes in the series, illustrates the thought-processes of a truly great mind; he was one of the strong bridges between Classical and Quantum Mechanics.
As a French person myself who had to struggle with French math teachers, I can relate to your comments about French professors and their teaching methods. France is one of the countries with the most Fields Medalists, although French students are really not that good at math (myself included). Perhaps this has something to do with the teaching methodology...
"Applied Complex Variables" by John W. Dettman (Dover Publishers) is a great read ("The Math Sorcerer" has a video on it.): the first part covers the geometry/topology of the complex plane from a Mathematician's perspective, and the second part covers application of complex analysis to differential equations and integral transformations, etc. from a Physicist's perspective. I've used Smith Charts (RF/microwave engineering) for years, but learned from Dettman that the "Smith Chart" is an instance of a Möbius Transformation. For practical reasons, a typical "Math Methods for Physics & Engineering" course introduces the Cauchy-Riemann Conditions, Conformal Mapping, Contour Integrals and applications of the Residue Theorem, but has to omit a lot interesting details. The Schaum's Outline on "Complex Variables" is a great companion book for more problems/solutions and content.
I understand this is meant to be humor, and for that I congratulate you on how bold you were. But these kinds of jokes I don't find particularly pleasurable nor clever, they are just ragebaiting. Anyway, D tier.
0:27 you cant just drop a banger line like "his assignment was his life's work, and the deadline was tomorrow" and just move on and put galois theory in D
@@JoaoGabriel-ne3uc Get a big calculus text (These cover a ton of material which usually doesn't get covered in class.), and a Mathematical Methods text such as "Mathematical Methods in the Physical Sciences" by Mary L. Boas, "Mathematical Methods for Physicists" by George B. Arfken or "Advanced Engineering Mathematics" by Erwin Kreyszig. The Math Methods texts trade formal rigor for breadth of topics, but have extensive bibliographies when you need to get into greater detail and formalism. I used "Elementary Differential Equations and Boundary Value Problems" (3rd ed.) by Boyce & DiPrima and "Vector Calculus" (2nd Edition) by Marsden & Tromba. Get lots of paper, pencils & erasers, too!
I'm about to anger every nerd in a one kilometer r = d/2 Math is S tier (+-÷×√²) Normal Algebra is A tier (A+B = C) Mathematics is F tier (e, φ, ψ, β, rad, log, quadratics, sin, cos, tan) but π can stay since pi is useful for me.
Ok, this is my ranking when it comes to what has been useful to me in my professional life outside the university. This is totally subjective for me, many of my low ranking subjects are really useful for people working in different areas. I work in mathematical finance, by the way. S : Measure Theory, Partial Differential Equations, Probability theory (especially stochastic calculus), numerical analysis A: Calculus, Real analysis, Set theory, Linear Algebra. Differential Equations. B: Functional Analysis, Complex analysis, Differential Geometry, Topology, Calculus of variations. Fourier analysis .... D: The rest. Since I have yet not encountered any real applications of them in my area The S tier subjects are the major subjects which are applicable in real world situations in my job all the time. The A tier are necessary subjects that often are a prerequisite for the S tier subjects. The B tier subjects have a lot of applications, but often i more specialized ones.
No mention of Combinatorics, the funnest math field? FAKE MATH ENJOYER DETECTED. Also, >integration bees: touch grass sounds like somebody got filtered, lmao
I agree with the entire list except 1; I disagree with functional analysis since it’s linear algebra 2.0 And abstract algebra is useful in chemistry, physics and anything using geometries
Galois theory is one of the deepest part of mathematics, and it is an essential component of the Langlands program. You need to learn more maths before doing that bro.
I did functional analysis during physics study in the 90s and can safely say: its completlely useless. But the stuff on measure theory and banach-tarsky is somehow good to know.
I hope you get a chance to come back to abstract algebra as you get more practice with theoretical math. I didn't enjoy abstract when I first took the class, but when I came back to the material and self studied, I fell in love.
Is this a joke?😂😂😂, if it is a joke then it is bit offensive, do you even know what is functional analysis (almost all of quantum theory is related to functional analysis) , algebraic topology, galois theory?
That's not a first year beard, surely. Still, I'm surprised about the differential topology/geometry split. When first doing them, you'd struggle to notice a difference for a lot of it.
the buildup lore drop on the insane story of galois theory just for it to be thrown into d tier oh my god
azali what the hell are you doing here
A man of culture I see.
*music is math*
Yoo azali wassup
lol right?? With zero explanation why!
You baited me HARD putting set theory in the bottom tier
I clicked and immediately paused the video before reaching the 3sec mark, if you do this then leave you're not giving the video any views, take advantage of this to dislike ragebait without giving the creator satisfaction😉
Said it before me 😭
no... i just pressed the video...
Calculus is in the useless pile and you're complaining about set theory??
@@jyjjy7Set theory is basically the foundation of data and a.i. ofc its more important than calc
You've pissed off all the math nerds with this one.
Am a set theorist. For some reason, I wasn't pissed off with this one.
Imagine being Galois looking down at his life work being D tier, only to watch a picture of a hippo being S tier
Putting Galois theory in D is just ignorance
Fr!
not recognizing sarcasm is equally as ignorant
@@hgjgjfjfmd Sorry but freedom of speech doesn't apply to Galois
"Mathematics is difficult, even for mathematicians." ~ Reinhold Böhme, quoted in Appendix A of "Vector Calculus" (2nd Edition) by Marsden & Tromba.
Especially so?
Very subjective statement. Difficulty of mathematics differs from problems to problems, and depending on your personal strengths and specialty.
"Partial Differential Equations in Physics" by Arnold Sommerfeld is based on his lectures on Theoretical Physics. It, like other volumes in the series, illustrates the thought-processes of a truly great mind; he was one of the strong bridges between Classical and Quantum Mechanics.
Why are you doing a ranking when you have no proper exposure to any of the topics except calculus?
Hippopotomus
bro didnt watch to the end of the video
@@PotatoBag5823either that or its a joke
@TheUnqualifiedTutor
Angry mathematician tend to be scary lol.
@TheUnqualifiedTutorHOW can I be a math genius like.Ramanujan or.apis or I swear I will.fucking kill myself PLEASE..there must be a way dammit
.
“Omg touch grass D” I almost died 💀 it’s actually useful bro 💀
Edit: he’s studying pure math hide the wife
I was about to say, calculus is the most useful 😂😂😂
hide the wife is crazy 💀
Top tier comment ✅
I agree with you on that going outside is dangerous but useful.
Watching this is my break from studying math
functional analysis in C is crazy work
who does functional analysis in C? like programmed language?
@@ErcoleBellucci no he means in C tier
As a French person myself who had to struggle with French math teachers, I can relate to your comments about French professors and their teaching methods. France is one of the countries with the most Fields Medalists, although French students are really not that good at math (myself included). Perhaps this has something to do with the teaching methodology...
Can relate and confirm.
I hated abstract algebra at first when it was tought to me. But then, when I started to dig a little by myself, I've found it super fun.
Can you recommend some resources for it that made it fun for you?
"Applied Complex Variables" by John W. Dettman (Dover Publishers) is a great read ("The Math Sorcerer" has a video on it.): the first part covers the geometry/topology of the complex plane from a Mathematician's perspective, and the second part covers application of complex analysis to differential equations and integral transformations, etc. from a Physicist's perspective. I've used Smith Charts (RF/microwave engineering) for years, but learned from Dettman that the "Smith Chart" is an instance of a Möbius Transformation.
For practical reasons, a typical "Math Methods for Physics & Engineering" course introduces the Cauchy-Riemann Conditions, Conformal Mapping, Contour Integrals and applications of the Residue Theorem, but has to omit a lot interesting details.
The Schaum's Outline on "Complex Variables" is a great companion book for more problems/solutions and content.
Next year you will be an economics major
"Applied Mathematics" is actually a clever pun as in who gets told to "apply themselvers"
Complex Analysis is absolutely S-Tier. Cauchy’s Integral Formula is lovely.
Im not sure whats more hilarious, this video or the people commenting how mad they are lol
This brother has not heard of category theory
putting algebra low is fine, but functional analysis has to be at least A
I agree and to me it's an S. And Complex is an S too.
I understand this is meant to be humor, and for that I congratulate you on how bold you were. But these kinds of jokes I don't find particularly pleasurable nor clever, they are just ragebaiting.
Anyway, D tier.
No, i am getting angry at this rating. Galois and differential topology in D tier?
Maybe you shouldnt rank all of these subjects that you havent studied yet. It just feels weird ranking stuff you havent tried yet
0:27 you cant just drop a banger line like "his assignment was his life's work, and the deadline was tomorrow" and just move on and put galois theory in D
"it's statistics and probability" two very different things
Such a shame putting Galois theory into D tier :(
Well guess what buddy, I'm a SECOND year university maths student!!! (I can't even remember the last time I saw a woman)
0:04 Evariste, not Eloise!
0:52 What a bizarre thing to base your ranking on! "Symbols and stuff".
@0:52 killing it straight from the get go! I'm dying hahahahahha
Lol, this is like just putting things in random categories without any real motivation.
Galois theory is pretty useful for computer science, finite rings are used in compression and cryptographic algorithms.
Evariste Galois was a legend
D tier
you are not qualified to do this!! if u havent studied ANYTHING related to most of the fields, why even make this. views i guess but bruhhhhh
im watching a video on a guys opinion on mathematical fields that he doesnt know anything about.... goddamn i feel stupid right now. bye.
Weird to make a video about topics you haven't covered yet. And last time I saw a woman was in high school like 15 years ago
"Infinite Powers: How Calculus Reveals the Secrets of the Universe" by Steven Strogatz is a great read.
I would appreciate if you made a single comment with all (or most) of your math book recommendations :)
@@JoaoGabriel-ne3uc Get a big calculus text (These cover a ton of material which usually doesn't get covered in class.), and a Mathematical Methods text such as "Mathematical Methods in the Physical Sciences" by Mary L. Boas, "Mathematical Methods for Physicists" by George B. Arfken or "Advanced Engineering Mathematics" by Erwin Kreyszig. The Math Methods texts trade formal rigor for breadth of topics, but have extensive bibliographies when you need to get into greater detail and formalism.
I used "Elementary Differential Equations and Boundary Value Problems" (3rd ed.) by Boyce & DiPrima and "Vector Calculus" (2nd Edition) by Marsden & Tromba.
Get lots of paper, pencils & erasers, too!
When I'm in a shitty opinion competition and this mf is my opponent.
ima touch u
maliciously
differential geometry is beautiful
I feel like complex analysis should get an S tier, but A tier is pretty good 😌
the little d's comment was so funny
please recreate this when you're in your 3rd year🤣, I promise you (coming from a current 3rd year) this list will look completely different
I love this channel so much
This is offensive, you haven't included hyperreal analysis.
I'm about to anger every nerd in a one kilometer r = d/2
Math is S tier (+-÷×√²)
Normal Algebra is A tier (A+B = C)
Mathematics is F tier (e, φ, ψ, β, rad, log, quadratics, sin, cos, tan) but π can stay since pi is useful for me.
What is this supposed to mean?
@@MarceloKatayama ranked on day to day use and usefulness.
@@GreatestRiceMuncher Oh, I see. I just did not understand the distinction between "Math" and "Mathematics". Seems kind of arbitrary.
Glad I stopped math at the bachelor level. College started getting expensive.
Why are you ranking so many topics you never learned and know pretty much nothing about?
its a joke
nah abstract algebra in D is crazy dawg
Bro anyone who studies math at grad level or above will be so annoyed with this video lol. The lack of knowledge
Now rank every episode of skibidi toilet (very related)
Sorry you have a bad algebra teacher, algebra’s reallllly S+ tier. And it’s key to understand anything in Representation Theory!
Ok, this is my ranking when it comes to what has been useful to me in my professional life outside the university. This is totally subjective for me, many of my low ranking subjects are really useful for people working in different areas. I work in mathematical finance, by the way.
S : Measure Theory, Partial Differential Equations, Probability theory (especially stochastic calculus), numerical analysis
A: Calculus, Real analysis, Set theory, Linear Algebra. Differential Equations.
B: Functional Analysis, Complex analysis, Differential Geometry, Topology, Calculus of variations. Fourier analysis
....
D: The rest. Since I have yet not encountered any real applications of them in my area
The S tier subjects are the major subjects which are applicable in real world situations in my job all the time.
The A tier are necessary subjects that often are a prerequisite for the S tier subjects.
The B tier subjects have a lot of applications, but often i more specialized ones.
lol he knows more than 95% of people yes, but yet doesnt know more than 95% of what a typical mathematician knows
Looking forward to you being confronted with Galois representations.
😎
If you put partial differentiation in b tier because you enjoy it, you and i have a score to settle
Just got done using galois theory in AES implementations so I just had to see what you were on about with the bait.
No mention of Combinatorics, the funnest math field? FAKE MATH ENJOYER DETECTED.
Also,
>integration bees: touch grass
sounds like somebody got filtered, lmao
I agree with the entire list except 1;
I disagree with functional analysis since it’s linear algebra 2.0
And abstract algebra is useful in chemistry, physics and anything using geometries
Galois theory is one of the deepest part of mathematics, and it is an essential component of the Langlands program. You need to learn more maths before doing that bro.
7:04 mindset
got baited so hard seeing calculus down there 😭
I did functional analysis during physics study in the 90s and can safely say: its completlely useless. But the stuff on measure theory and banach-tarsky is somehow good to know.
The last time I seen a woman this evening mate
"just started elementary abstract algebra" but u have an opinion on galois theory?
Probability needs to be A tier
No No No how could you put Func Analysis so low ? Put that and Complex Analysis S tier.
I hope you get a chance to come back to abstract algebra as you get more practice with theoretical math. I didn't enjoy abstract when I first took the class, but when I came back to the material and self studied, I fell in love.
I'm sorry what did you say Galois' first name was? 😂
tell me you dont know a lot of math without saying it
Day 1 of asking you to solve a JEE Advanced Paper
funny nerd? impossible
Terror dreams are made of such math stream subject names lol i
Your channel was amazing...🎉
How would you compare geometric algebra vs algebraic geometry?
What tier do the 12 timestables go into
S tier, straight away. I used to grind out times table rockstars relentlessly in year 1
y'all need to touch grass
before i touch u myslef
The emphasis here is on, wait for it: Unqualified! 🤮
I'm sorry but algebraic number theory deserves to be in A tier, at least
functional analysis is objectively SSS tier. are you even trying man
I was waiting for Lie algebra and theory of categories
nice vid
What about the others at the end?
There are too many Frenchmen doing math
Is this a joke?😂😂😂, if it is a joke then it is bit offensive, do you even know what is functional analysis (almost all of quantum theory is related to functional analysis) , algebraic topology, galois theory?
My bro, as a 10th grade calc 2 kid, I need your level of confidence. Maybe if I pass lmao :)
you lost me at Galois theory
Is this some kind of roast video?
What do you think about interestelar?
Linear algebra S tier
What uni do u go to ?
Ranking based on what?
bro put measure theory and Fourier in D
So the thumbnail is just a suggestion? Disliked + reported + do not recommend from this creator
thumbnail is certified ragebait (it worked)
thats what you call a deadline lol
the clickbait is just toooo baiting
Aint no way functional analysis is that low
What's erodic theory?
That's not a first year beard, surely. Still, I'm surprised about the differential topology/geometry split. When first doing them, you'd struggle to notice a difference for a lot of it.
i dont agree poersonawally
First year 😅
Bro gonna delete this video in a year
i have now -20 IQ just watching this !
You did only ranke 50%, poor Job
the rest is left as an excercise for the viewer