Complex Analysis 16 | Isolated Singularities
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This is my video series about Complex Analysis. I hope that it will help everyone who wants to learn about complex derivatives, curve integrals, and the residue theorem. Complex Analysis has a lof applications in other parts of mathematics and in physics.
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(This explanation fits to lectures for students in their first or second year of study: Mathematics, Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
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When we needed him the most, he comes back.
sin(z)/z^n, sin(1/z) ... These are famous functions! Thanks for putting this course together.
Amazing series! Please keep making the videos :)
Thank you father,you save my exam
@brightsideofmaths
2 ай бұрын
Thank you for the support!
these videos are so great and super helpful! thank you so much:))
@brightsideofmaths
Жыл бұрын
Glad you like them!
Thank you for the great series here 💯
@brightsideofmaths
2 жыл бұрын
Glad you like them!
Thank you so much!!!!!
@brightsideofmaths
Жыл бұрын
Thank you :)
Amazing but in definition of isolated singularity your showing the point z0 doesn't belong to open set U but in picture you drawn inside domain U? Or you meant the empty part as U?
@brightsideofmaths
11 ай бұрын
Yes, it's not in U :)
Hello. Once I saw this video, I had a question, why does 1/z^2 has a pole in z = 0 of order 2 since the principal part of its Laurent series is 1/z^2?
@brightsideofmaths
2 ай бұрын
Yes, the Laurent series is 1/z^2, so it's a pole of order 2.
@luismaestres5050
2 ай бұрын
@@brightsideofmaths But why is that true? Sorry for asking.
@brightsideofmaths
2 ай бұрын
What do you mean? It's just the definition :)
@luismaestres5050
2 ай бұрын
@@brightsideofmaths Yes, I misread the definition, since the order is the greatest k such that c_-k is zero without including that maximum (assuming it exists). Thanks for clarify it.
@brightsideofmaths
2 ай бұрын
@@luismaestres5050 You did it by yourself :)