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An Intro into Contour Integration 

Ginger Math
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Thank you for watching! If you have any other video suggestions please comment (doesn't have to be tutorial based).
Also feel free to skip around as you need - it is a rather long video (that is not meant to be rigorous in slightest but rather a simple introduction to the subject)
Here's the textbook I used to learn (though I do have a hard copy):
universitytime.home.blog/wp-c...
Intro: (0:00)
Complex Numbers (1:13)
Line Integrals: (7:58)
Circle Line Integral Ex: (10:11)
Square Line Integral Ex: (13:00)
Independence of Path: (24:25)
Cauchy's Residue Theorem: (26:12)
Previous Example w/ Residue Theorem: (30:08)
Integral Example 1: (33:14)
Integral Example 2: (45:22)
Jordan's Lemma: (50:13)

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5 июл 2024

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Комментарии : 7   
@abhinavrawat6632
@abhinavrawat6632 7 дней назад
Finally thanks
@Jalina69
@Jalina69 15 дней назад
finally. thank you.
@GingerMath
@GingerMath 15 дней назад
Of course! Thank you for the suggestion!
@sebas31415
@sebas31415 15 дней назад
Could there be a parametic function that creates a square?
@GingerMath
@GingerMath 15 дней назад
The only way to get a square out of a single parametric equation (that I know of) is to form a square is just to take the limit as n-> inf for the parameterization for a squircle - might just be easier to visualize here: www.desmos.com/calculator/k4majn258z But any integration with squircles is likely bound to be much harder and unnecessarily complex than four integrals around line segments.
@MeatiusGaming
@MeatiusGaming 14 дней назад
@@GingerMath Wouldn't it be possible to just flip the square to the side and use |x| + |y| = 1?
@GingerMath
@GingerMath 14 дней назад
@@MeatiusGaming Forgot about the case where n = 1... so yes 😅 - though the parameterization of it would still involve either 4 line segments or the square of trig functions
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