your videos are my equivalent of subway surfers gameplay while i study
@streampunksheep
Жыл бұрын
This is just so smart. I wish I did this when I was in college
@LucivaldoJunior
Жыл бұрын
I had an introduction to complex analysis last semester during my electrical engineering undergrad. Churchill and Zill were my best friends, hahaha. I actually found your channel while searching for complex analysis content. Keep it up with your content, it's very helpful and inspiring.
@brandonbennett4970
Жыл бұрын
Im also going to be starting a major in EE this fall so I was just curious, was your intro to complex analysis part of an EE course, or did you take a math dept course in complex analysis?
@LucivaldoJunior
Жыл бұрын
@@brandonbennett4970 It's part of the course, a very important one. Good luck with your course!
@brandonbennett4970
Жыл бұрын
@@LucivaldoJunior ah okay, thanks!
@VAssumptaEst
Жыл бұрын
Gosto muito do seu canal. 👍
@andrewchang7194
Жыл бұрын
It’s been a while since I was a student (undergrad in 2020), but have you used the Alfhors complex analysis? Alfhors has to be the weirdest textbook I’ve read. It’s in a completely narrative style (not in a statement-proof format) and it goes through some pretty advanced concepts not typically found in an undergrad semester-long complex analysis course. There were sections in Jacobi theta functions, doubly periodic functions, Riemann mapping theorem, Schwarz Christoffel formula, analytic continuations (Monodromy Theorem), etc. It wasn’t a part of the book, but we discussed voronin universality when we were going through the zeta function section 😂 It was one of the wildest classes I’ve ever done assignments in (algebraic geometry takes the cake there) but I took a lot out of it even though I don’t use a lot of this math anymore. Love watching your videos because it always reminds me of my student days. Good luck on your exams! Love your content.
@Nylspider
Жыл бұрын
Ever since I saw the Real Analysis video I couldn't wait for the Complex Analysis video! Good luck on writing this :3
@LuisRodriguez-vh6fg
Жыл бұрын
Amazing!
@Dinhjason
Жыл бұрын
Holy... this is genius. I have to do this now while I'm still in my studies. This companion textbook is ingenious! 🎉
@Dinhjason
Жыл бұрын
Also, yes, we want to hear you drone on and on about Complex analysis. You're a fascinating human with a complex field of study that entices the rest of us - please keep sharing.
@ryanang3771
11 ай бұрын
I actually learnt complex analysis off Stein and Shakarchi. Couldn't get used to its writing style during the semester, but came back and appreciated its elegance at a later date. In fact S&S used these definitions: Holomorphic = complex differentiable; Analytic = can be expressed as a convergent power series. And one can prove that a function is holomorphic in an open set if and only if it is analytic in the same open set. This explains why the two terms are freely interchangeable. As for the definitions of interior and closure of A, actually "largest open set contained in A" and "smallest closed set containing A" are actually effectively the definitions used in any dedicated topology class/book. They write "union of all open sets in A" and "intersection of all closed sets containing A" because this is the exact representation of the sets - you find the largest open set contained in A by taking the union of all open subsets of A etc. So they actually mean exactly the same thing. But I do agree it is much easier to think in terms of largest open set and smallest closed set.
@TomokoAbe_
Жыл бұрын
You are 100% amazing! I'm studying for my state exams and depend on putting everything in one notebook to study with. Having too much information scattered about is very confusing and you can miss things. Don't you love complex exams--it keeps one regular just thinking about it LOL. With all that high anxiety...just do it and try. I mean we are all going to die in the end so why not try.
@ordinaryperson.__1
Жыл бұрын
I'll buy it. Just never give up finishing it
@Doctor_Drew
Жыл бұрын
cool stuff! Thanks for sharing. 10:03. Totally agree with that. I intend to self study real and complex analysis soon. Best of luck on your exam! - fellow grad student
@EricaCalman
Жыл бұрын
Writing a textbook form notes based on a textbook reminds me of 30 rock when Jenna gets the fake award for "Best Movie Based on a Musical Based on a Movie" for the mystics pizza musical movie haha. Also tbh it's how most textbooks get written, just with a few years of refinement based on using the notes to teach courses and usually updating them based on experience from your research and teaching; and changes in student expectations etc.
@muhammadmustafa2946
Жыл бұрын
Thanks for the vid brah
@DavidGillooly
Жыл бұрын
You often mentioned "commit to memory". What process do you go through to commit a 2 or 3 page proof or concept to memory?
@kierangrainger8911
Жыл бұрын
god i wish i had this for my planetary science degree
@jagatacharjee3526
11 ай бұрын
Bro , other then power series expansion at a point in complex plane , what is the other use of an Analytic Function ?
@harrypathak3935
9 ай бұрын
which pen do you use for writing such things?
@JohnH777
Жыл бұрын
Is there a chance we could have a copy of your draft of your Analysis books?
@evionlast
Жыл бұрын
Let f:U→ℂ be continuously differentiable in U an open subset of ℂ then f is holomorphic if 𝜕f/𝜕z̄=0 at every point of U. Ex: The function f(z)=1/z is Meromorphic, it's not holomorphic at z=0, but at any other point in ℂ it complies with the definition, so it's holomorphic for all z ∈ ℂ-{0} and 0 is a singularity point.
@mastershooter64
Жыл бұрын
do analysis grad students study several complex variables?
@amadeusamadeus7896
Жыл бұрын
Is there is any way to access your complex analysis notes?
@Maxwell_Integral
2 ай бұрын
When will this be released
@leonardodias3393
Жыл бұрын
Im trying to learn real analysis and get used to work with epsilons and deltas... Im freaking out
@xxnotmuchxx
3 ай бұрын
Can you posted it online like in pdf format?
@RizwanAli-ib4mg
Жыл бұрын
what is your video recording setup?
@subashchander2352
Жыл бұрын
Can you suggest me the best book for self learning real analysis as I am beginner in it
@AnthonyMakesVideos
Жыл бұрын
Lars Ahlfors has entered the chat
@PhDVlog777
Жыл бұрын
Aight imma head out
@pizzaface8140
Жыл бұрын
I’m glad I’m not the only ambitious person that has attempted to write their own book on a math subject, I did workbooks on trigonometry and intermediate algebra
@therealiexon2524
Жыл бұрын
the way i learnt it, analytic functions are locally equal to a convergent power series everywhere in a domain and holomorphic functions are complex differentiable everywhere in a domain. the difference is that the domain of analytic functions can be something other than complex numbers (eg bounded operators). if the domain is the complex plane or open subsets, holomorphic and analytical functions are exactly the same ( en.wikipedia.org/wiki/Analyticity_of_holomorphic_functions ).
@nylen_1142
Жыл бұрын
I used the word holomorphic all the time. I never heard it could be called analytic for this.
@mukatunimpho3700
Жыл бұрын
hopefully we get to see your face one of the good days
@averagebalkanian4402
Жыл бұрын
yoo
@abhisheksoni9774
Жыл бұрын
Will someone tell me, how far mathematics can be discovered or it can be studied for centuries
@HIVEEX01
11 ай бұрын
It feels like math is limitless we still discover to this day new theorems new conjectures and new definitions But the thing is that if you want to study mathematics especially advanced math you have to specialize in one or two areas but not more like you can't just have a good grasp of knowledge in every branch in mathematics because that is impossible one perhaps would prefer topology over modern algebra and one could specialize in number theory or analysis ...etc
@abhisheksoni9774
11 ай бұрын
@@HIVEEX01 Oh okay that's good, Thanks 😊
@HIVEEX01
11 ай бұрын
@@abhisheksoni9774 no problem have fun learning math 😄
@abhisheksoni9774
11 ай бұрын
@@HIVEEX01 Yeah sure, you too 😊
@Deepnil
Жыл бұрын
Subs get a discount right?😢😂😂
@VinOnline
Жыл бұрын
This is horrifying
@amadeusamadeus7896
Жыл бұрын
Why?
@VinOnline
Жыл бұрын
@@amadeusamadeus7896 I'm too stupid to understand complex analysis.
Пікірлер: 49