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#1 2015-07-18 09:03:20

zetafunc
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Complex Analysis

In this thread, f is assumed to be a function mapping complex numbers to complex numbers, unless it is explicitly stated otherwise.

#1

Click here for the video solution.

Last edited by zetafunc (2015-10-24 08:12:21)

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#2 2015-07-18 09:09:35

zetafunc
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Re: Complex Analysis

#2

Click here for the video solution.

Last edited by zetafunc (2016-08-07 03:37:40)

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#3 2015-07-18 09:15:58

zetafunc
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Re: Complex Analysis

#3

Last edited by zetafunc (2015-07-18 09:18:34)

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#4 2015-07-18 09:30:11

zetafunc
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Re: Complex Analysis

#4

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#5 2015-07-18 09:33:21

zetafunc
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Re: Complex Analysis

#5

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#6 2015-07-18 09:45:23

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#7 2015-07-18 09:48:38

zetafunc
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Re: Complex Analysis

#7

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#8 2015-07-18 09:58:01

zetafunc
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Re: Complex Analysis

#8

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#9 2015-07-18 10:04:59

zetafunc
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Re: Complex Analysis

#9

Click here for the video solution.

Last edited by zetafunc (2015-10-24 08:13:15)

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#10 2015-07-18 14:24:11

bobbym
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Re: Complex Analysis

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#11 2015-07-18 18:34:53

zetafunc
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Re: Complex Analysis

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#12 2015-07-18 19:45:57

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 107,133

Re: Complex Analysis

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#13 2015-07-18 20:57:20

zetafunc
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Re: Complex Analysis

Last edited by zetafunc (2015-07-20 00:10:56)

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#14 2015-07-18 22:58:10

zetafunc
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Re: Complex Analysis

Last edited by zetafunc (2015-07-20 00:11:26)

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#15 2015-07-19 14:40:15

bobbym
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From: Bumpkinland
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Posts: 107,133

Re: Complex Analysis

Hi;

Thanks for the answers and method.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#16 2015-07-20 00:36:51

zetafunc
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Re: Complex Analysis

No problem, I can post the solutions to others if you would like. #6 is basically a generalisation of the method used in post #14.

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#17 2015-07-20 08:17:36

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 107,133

Re: Complex Analysis

Hi;

Post them at your convenience.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#18 2015-09-01 06:30:44

zetafunc
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Re: Complex Analysis

Update: Have started making video solutions to the problems. A solution to #1 has been recorded.

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#19 2016-01-04 23:06:17

zetafunc
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Re: Complex Analysis

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#20 2016-08-07 03:38:05

zetafunc
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Re: Complex Analysis

A video solution has been added for #2.

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#21 2016-08-07 12:47:09

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 107,133

Re: Complex Analysis

Hi;

I am watching the video now.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#22 2016-08-08 08:33:52

zetafunc
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Posts: 1,714
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Re: Complex Analysis

I've also added a video solution for #6, for n = 8. The case for general n is done in exactly the same way (that is, the idea of choosing a contour that encloses just one of the poles).

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