*Holomorphic functions, Cauchy-Riemann equations, integration, zeroes of analytic functions, Cauchy formulas, maximum modulus theorem, open mapping theorem, Louville’s theorem, poles and sin- gularities, residues and contour integration, conformal maps, Rouche’s theorem, Morera’s theorem*. These are some topics I'd love to see being covered in this course. Thank you for making this series 🙏🙏
Finally! One of my fav subjects in math :) Been more than 10 years since I studied it, looking forward to recap some of the stuff here :) Happy new year!
I'm about to start my third yr in a couple of weeks, and I was so apprehensive about which modules to pick, especially Complex Analysis coz it sounded scary... But you made it sound so interesting, and it felt like a natural continuation of Real Analysis which was fun for me. Thank you. If I had any money I would defs support your channel💕
Introduction? More like "Unmitigated instruction!" This lecture was jam-packed with information, and I loved watching every second of it. Thanks for making and uploading these wonderful videos!
Happy new year! I was just checking your channel after having found it recently to see if you had any lectures on the subject, really excited to see this series from you!
I wish I discovered your series while taking Real Analysis. But it is okay because now I watch your videos for fun! By the way, what software do you use to make and draw over your videos?
Hello. I'm from Russia. You are very good at explaining math. Came across your channel. Then I was very interested to see something unusual in the sense of how the same mathematics is taught in other countries. p.s. Sorry for my English.
I've finished my complex analysis course last year and I'm so happy that I came across your channel! The videos are very informative and concise and present the subject very well. I can't wait to see more!
Your videos are among the best on the UA-cam simply for the reason you take time to motivate the definitions and provide clear examples of their use and concstruction. That really shows the vast majority of difficulties for students learning math lies not only in how complicated the ideas are, but in how poorly the subject is handled. Waiting forward with great anticipation! Btw, do you think it'd be useful to get some inspiration from Rudin and begin using topolog-ish terms like compactness, perfectness etc. to simplify the theorems and properties in the long run? What is your view on that! Have a wonderful year, thanks for all the content!
Hi, I am really grateful to you for coming up with these educative videos. I and my friend who recommended me to this channel both got a B in this very challenging course thanks to your videos. Is there a way to donate a token in appreciation? Thanks.
Wow really really amazing video i ever saw on complex analysis 🤩 really lovely. Can you suggest book for Complex analysis .. so that i will follow that book along with your lectures to understand Complex analysis in detail😁 Thanks
Hi, I hope you read this. I was throwed into the deep in maths right now. I am trying to re-pick my fundamentals. I need to learn complex analysis and I finished Set theory and complex numbers. You mentioned that It could be helpful to learn continuous and differentiable function + power series. Are there more video's that I should watch in the real analysis video's? My exam should be in 3 months. I am full grind mode. I would appreciate if someone can help me, so that I don't watch 60 video's on real analysis. Thanks!!
Not necessarily. It is definitely helpful to understand all the objects involved. However, while watching the Complex Analysis course, you can always go back to the corresponding videos of the Real Analysis class.
@@brightsideofmaths lol yeah no one likes things not commuting, also i love your videos, they're super helpful and really well made, thank you. also your accent is awesome :)
Would you please discuss these topics ( analytic polynomials, prop that a polynomial is analytic if py = ipx proof , a complex valued function is said to be differentiable at z if lim f(z+h) - f(z) / h exists proof, power series, power series convergence in z, theories on the last part) i hope if you simplify it from this book at ch2 " Joseph Bak, Donald J. Newman Complex analysis 2010"
Since I see me as an ambassador of free education, everything here is available for everyone in the world. However, you can support me if you like the stuff I do :)
Please do the quiz to check if you have understood the topic in this video:
thebrightsideofmathematics.com/courses/complex_analysis/overview/
I swear your videos could literally bring me to a new higher order realms of being High!
Danke
This could be a lifesaver, very unhappy with my current lectures.
ua-cam.com/video/S8-97elM3ho/v-deo.html😊
I've been wanting to learn more about complex analysis for years now! My college campus sadly has no courses in this. Thank you so much!!!!
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
ua-cam.com/video/Upvk1_M0B-k/v-deo.html😊
Hey dude you are doing gods work here. I am in highschool and your explanations could not be more clear. Much thanks!
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
*Holomorphic functions, Cauchy-Riemann equations, integration, zeroes of analytic functions, Cauchy
formulas, maximum modulus theorem, open mapping theorem, Louville’s theorem, poles and sin-
gularities, residues and contour integration, conformal maps, Rouche’s theorem, Morera’s theorem*. These are some topics I'd love to see being covered in this course. Thank you for making this series 🙏🙏
Thanks! All these topics are on my list :)
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
Finally! One of my fav subjects in math :) Been more than 10 years since I studied it, looking forward to recap some of the stuff here :) Happy new year!
ua-cam.com/video/S8-97elM3ho/v-deo.html😊
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
ua-cam.com/video/Upvk1_M0B-k/v-deo.html😊
I'm about to start my third yr in a couple of weeks, and I was so apprehensive about which modules to pick, especially Complex Analysis coz it sounded scary... But you made it sound so interesting, and it felt like a natural continuation of Real Analysis which was fun for me. Thank you. If I had any money I would defs support your channel💕
ua-cam.com/video/Upvk1_M0B-k/v-deo.html😊
waiting for this to complete, that's so awesome i can't even believe my eyes, please keep going !!!
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
*HAPPY NEW YEAR.*
Thank you for continually making videos.
Complex analysis made clear at last! Hurrah!
Introduction? More like "Unmitigated instruction!" This lecture was jam-packed with information, and I loved watching every second of it. Thanks for making and uploading these wonderful videos!
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
@@chessplayer5728 Hey, quick math is good! Btw, do you like chess by any chance? 😎
@@PunmasterSTP yesss
@@chessplayer5728 I played it a bit back in high-school, though I was never very good. Do you go to tournaments and play ranked matches?
@@PunmasterSTP No:( , I play chess online. Why did you think you were never very good?
Superb. Concise and straight forward foundational presentation. I wish I had your videos when I studied math 25 years ago.
Cheers!
Steve K.
Thank you very much :)
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
Happy new year! I was just checking your channel after having found it recently to see if you had any lectures on the subject, really excited to see this series from you!
ua-cam.com/video/S8-97elM3ho/v-deo.html😊
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
If only this playlist was made 2 semesters ago T_T
I'll be sure to watch it when i retake this course to improve my grade in the near future :)
Watch the latest video of wishing happy new year in the language of Mathematics
ua-cam.com/video/lqVEgVea4Dg/v-deo.html
ua-cam.com/video/S8-97elM3ho/v-deo.html😊
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
I wish I discovered your series while taking Real Analysis. But it is okay because now I watch your videos for fun! By the way, what software do you use to make and draw over your videos?
Thanks! I use the old and free software Xournal :)
Watch the latest video of wishing happy new year in the language of Mathematics
ua-cam.com/video/lqVEgVea4Dg/v-deo.html
ua-cam.com/video/S8-97elM3ho/v-deo.html😊
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
I don't know who you are though,but I want to say a very big thank you for helping me out this midnight for my test tomorrow...God bless you
Glad I could help! And thanks for the support!
Thank you for making this, I really needed this
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
Hello. I'm from Russia. You are very good at explaining math. Came across your channel. Then I was very interested to see something unusual in the sense of how the same mathematics is taught in other countries.
p.s. Sorry for my English.
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
Ok, does this guy just keep getting better, or ... am I getting better just from watching this guy?
Why not both? :)
The entire world gets better!
We both get better when we wrote with our lovely professor
Thank you! very excited for this series
same
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
I've finished my complex analysis course last year and I'm so happy that I came across your channel! The videos are very informative and concise and present the subject very well. I can't wait to see more!
Thank you very much!
I look forward in learning more about complex analysis
Your videos are among the best on the UA-cam simply for the reason you take time to motivate the definitions and provide clear examples of their use and concstruction. That really shows the vast majority of difficulties for students learning math lies not only in how complicated the ideas are, but in how poorly the subject is handled. Waiting forward with great anticipation!
Btw, do you think it'd be useful to get some inspiration from Rudin and begin using topolog-ish terms like compactness, perfectness etc. to simplify the theorems and properties in the long run? What is your view on that!
Have a wonderful year, thanks for all the content!
Thank you very much :)
ua-cam.com/video/S8-97elM3ho/v-deo.html😊
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
@@chessplayer5728 stop spamming this everywhere
Thanks so much, almost have my degree in IT, just need to pass this class. Loved your explanations on the functions.
Have been waiting for this topic for long time !
Happy new year!
Hope you can enjoy it! :)
hey! i'm taking this class this semester! perfect timing!
ua-cam.com/video/S8-97elM3ho/v-deo.html😊
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
ua-cam.com/video/Upvk1_M0B-k/v-deo.html😊
Thank you, and a belated Happy New Year!
I needed this 2 months ago! Great material!
Sorry :) I have so many ideas for videos that I am not so quick with all the courses.
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
very excited for the new series!
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
My stress in maths are finally over. Thanks for the video
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
Really nice presentation.
Amazing video!
awesome video! Thank you!
You are my hero!
Hi,
I am really grateful to you for coming up with these educative videos. I and my friend who recommended me to this channel both got a B in this very challenging course thanks to your videos. Is there a way to donate a token in appreciation?
Thanks.
Thank you very much! I have an overview page for donations :) tbsom.de/s/support
Thank you so much!
Por favor has videos de Geometría Diferencial. Amo tus videos. ❤️
Enorm hilfreich, danke!
subbed! this is great
Merci ! Ca me rappelle ma jeunesse à l'université à Paris.
De rien!
Wow really really amazing video i ever saw on complex analysis 🤩 really lovely. Can you suggest book for Complex analysis .. so that i will follow that book along with your lectures to understand Complex analysis in detail😁
Thanks
Hi, I hope you read this. I was throwed into the deep in maths right now. I am trying to re-pick my fundamentals. I need to learn complex analysis and I finished Set theory and complex numbers. You mentioned that It could be helpful to learn continuous and differentiable function + power series. Are there more video's that I should watch in the real analysis video's? My exam should be in 3 months. I am full grind mode. I would appreciate if someone can help me, so that I don't watch 60 video's on real analysis. Thanks!!
Thank you very much! You can just start with the complex analysis series. I always mentions what you should know from real analysis.
How’s your exam
@@Adam-sl9qc I dropped the course lol
Thank you!
taking complex analysis this fall.
Yeah! Have fun and please use my course as well :)
do you cover the residue theorem in this course? thanks
Yes :)
Is the real analysis required to follow this series?
No, not the complete series is required. However, some important definitions and facts from Real Analysis we will need.
Should I take Real Analysis before taking Complex Analysis?
Not necessarily. It is definitely helpful to understand all the objects involved. However, while watching the Complex Analysis course, you can always go back to the corresponding videos of the Real Analysis class.
Fantastic!
Hello!How many parts is gonna have the entire course?
I don't know yet :)
please help me solve this:
find the cube root of the complex number z=-1+i
Yeah, I have a video about that.
@@brightsideofmaths may you share it's link please.
@@josephatmbuya3328 Yeah, you can just check the explanation here: ua-cam.com/video/7w0mdxbisbo/v-deo.html
Are you some kind of god??
Awesome videos!!
Not yet!
Wow! You made a great introduction! When will the next video be uploaded? :)
Thanks! I am working on the upcoming videos. Maybe in this week, the next one will be uploaded :)
I hope each video in the sequence of videos will be uploaded with closer and closer time intervals between them.
@@MrAlRats The time intervals will converge :)
thank u
hooray!!!!! complex analysis!!!!!
yes!!!!! Complex analysis is my favorite topic
lol is the next series on quaternionic analysis?
Historically, there was some interest in quaternionic analysis but I don't think that it deserve a whole video series here ;)
@@brightsideofmaths lol yeah no one likes things not commuting, also i love your videos, they're super helpful and really well made, thank you.
also your accent is awesome :)
awesome!
Usefull
Would you please discuss these topics ( analytic polynomials, prop that a polynomial is analytic if py = ipx proof , a complex valued function is said to be differentiable at z if lim f(z+h) - f(z) / h exists proof, power series, power series convergence in z, theories on the last part) i hope if you simplify it from this book at ch2 " Joseph Bak, Donald J. Newman Complex analysis 2010"
Watch the latest video of wishing happy new year in the language of Mathematics
ua-cam.com/video/lqVEgVea4Dg/v-deo.html
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
make zeta=e^(2pi*i*t)
Not yet ;)
I thought this was a chain bear video about F1
I don't even take complex analysis i just wanted to see it💀
How in the world are these videos free...
Since I see me as an ambassador of free education, everything here is available for everyone in the world. However, you can support me if you like the stuff I do :)
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
Trivial
wow
I'm too dumb for this 😢
No, no. I really doubt that. Just start with my other series first: tbsom.de/s/slm
@@brightsideofmaths Ok
@@brightsideofmaths Thank you
Almost nothing
Nothing what?
about C
@@antoniomantovani3147 The complex numbers?
the extention to R using ideals
@@antoniomantovani3147 That is not in this video.