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!
*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 🙏🙏
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.
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'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 TH-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!
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?
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.
I study physics and in a recent lecture for mechanics and GR I saw, continuity was defined based on the topological spaces of domain and range of the maps. Roughly f: M -> N continuous if: For all V element Top_N : preimage_f(V) element Top_M How is that version related to the continuity based on sequences, that doesn't mention the topological spaces on domain and range ? Edit: Based on the next lecture I assume we use some form of the standard topology ?
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!!
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
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
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
th-cam.com/video/Upvk1_M0B-k/w-d-xo.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
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!
th-cam.com/video/S8-97elM3ho/w-d-xo.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
th-cam.com/video/Upvk1_M0B-k/w-d-xo.html😊
This could be a lifesaver, very unhappy with my current lectures.
th-cam.com/video/S8-97elM3ho/w-d-xo.html😊
im about to take the course in a week, kind of scared ngl
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💕
th-cam.com/video/Upvk1_M0B-k/w-d-xo.html😊
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?
*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
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
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
Complex analysis made clear at last! Hurrah!
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
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
th-cam.com/video/lqVEgVea4Dg/w-d-xo.html
th-cam.com/video/S8-97elM3ho/w-d-xo.html😊
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.
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!
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!
th-cam.com/video/S8-97elM3ho/w-d-xo.html😊
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!
Your videos are among the best on the TH-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 :)
th-cam.com/video/S8-97elM3ho/w-d-xo.html😊
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
@@chessplayer5728 stop spamming this everywhere
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
Have been waiting for this topic for long time !
Happy new year!
Hope you can enjoy it! :)
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
th-cam.com/video/lqVEgVea4Dg/w-d-xo.html
th-cam.com/video/S8-97elM3ho/w-d-xo.html😊
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
Thanks so much, almost have my degree in IT, just need to pass this class. Loved your explanations on the functions.
Thank you! very excited for this series
same
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
hey! i'm taking this class this semester! perfect timing!
th-cam.com/video/S8-97elM3ho/w-d-xo.html😊
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
th-cam.com/video/Upvk1_M0B-k/w-d-xo.html😊
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
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
very excited for the new series!
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
I study physics and in a recent lecture for mechanics and GR I saw, continuity was defined based on the topological spaces of domain and range of the maps.
Roughly
f: M -> N continuous if: For all V element Top_N : preimage_f(V) element Top_M
How is that version related to the continuity based on sequences, that doesn't mention the topological spaces on domain and range ?
Edit: Based on the next lecture I assume we use some form of the standard topology ?
Yes, standard topology given by the absolute value of C. More general topology is covered in my manifolds series.
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
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
I look forward in learning more about complex analysis
Thank you, and a belated Happy New Year!
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
You are my hero!
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
Amazing video!
do you cover the residue theorem in this course? thanks
Yes :)
Really nice presentation.
awesome video! Thank you!
Merci ! Ca me rappelle ma jeunesse à l'université à Paris.
De rien!
Thank you so much!
Enorm hilfreich, danke!
Por favor has videos de Geometría Diferencial. Amo tus videos. ❤️
taking complex analysis this fall.
Yeah! Have fun and please use my course as well :)
subbed! this is great
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 you!
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.
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.
Fantastic!
Hello!How many parts is gonna have the entire course?
I don't know yet :)
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 :)
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: th-cam.com/video/7w0mdxbisbo/w-d-xo.html
Are you some kind of god??
Awesome videos!!
Not yet!
fine but sometimes cannot follow due to subtitles that you are writing downside
You can move them :)
@@brightsideofmathsyeah might be true on computers but in iphone i think i am not able to :(
@@richardpatove4587 But there, you can just turn the subtitles off.
hooray!!!!! complex analysis!!!!!
yes!!!!! Complex analysis is my favorite topic
awesome!
thank u
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
th-cam.com/video/lqVEgVea4Dg/w-d-xo.html
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
Usefull
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💀
can you add arabic translation pleaseeee?
I cannot do that. But the GitHub is open for everyone to add these translations.
wow
Trivial
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 :)
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
Le me who just knows 2+2 is 4, minus 1 thats 3 quick math: Noice
Almost nothing
Nothing what?
about C
@@antoniomantovani3147 The complex numbers?
the extention to R using ideals
@@antoniomantovani3147 That is not in this video.