Complex Analysis 26 | Keyhole contour

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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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Комментарии
Автор

Great work! This helps one see beyond textbooks.

idk-vjtz
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Man you are such a legend, as crystal clear as always!

Ghetto_Bird
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Thank you so much for having these series m(__)m I wouldn't otherwise have such a good master explain these concepts while trying to self study

Ren-wigf
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The proof works exactly the same if g is holomorphic in a disk D-{z0} where z0 is not necessarily the center of the disk, am I right?

individuoenigmatico
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Why are we justified in taking the limit delta --> 0? I understand the result flows nicely when we do, but are we indebted to the limit we took somehow? Thanks for your videos!

skillick
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Why do we have to consider some non-zero delta and take the limit? Is not possible to choose directly delta equal to zero at the beginning?

kayebennett