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/sci/ - Science & Math

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8481369 No.8481369 [Reply] [Original]

do i have to study real analysis before i can do complex analysis?

>> No.8481386

Yeah.

>> No.8481391

Start with the Greeks.

>> No.8482853

Not really.

>> No.8482858

>>8482853
seconded

Complex analysis is basically an intro to complex plane geometry and then a bunch of techniques for integration on the complex plane. You only use a small amount of analysis in a few of formalisms but your professor will likely handwave that shit away anyways.

>> No.8482866

>>8482858
>but your professor will likely handwave that shit away anyways
I feel bad for you and the complex analysis course you went through.

>> No.8482923

>>8481369
not the first course taught at most schools
for the grad version yes

here is a full course
https://www.youtube.com/playlist?list=PLBY4G2o7DhF0TSossUvJ-CTKSLfOhQgb6

>> No.8482953
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8482953

>>8481386
>>8482853
>>8482858
>>8482866

so, yes or no? can anyone tell me why or why not? i'm still unsure, given the variety of answers

>> No.8483002

>>8482953
complex analysis requires the concept of differentiation to define holomorphic functions, you should know taylorseries, line integral, some basic theorems like implicit function theorem/theorem of inverse function, be good with sequences and know basic linear algebra things. For higher complex analysis you need basic topology as you will enter riemanian manifolds.

>> No.8483003
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8483003

No you don't, but depending on what you mean by real analysis. Elementary complex analysis (Cauchy's theorems and formulas, power series expansions argument principle and their corollaries) requires you to have some acquaintance with concepts of limit, continuity convergence, contentedness and compactness, at the level of an introductory analysis/calculus course.

There are really beautiful more advanced topics related to complex analysis that of course require a solid graduate level real analysis background, and by that background I mean stuff like theory of integration and function spaces.

>> No.8483017

>>8482953
you are massive faggot
for the rudin book you will need analysis
for a book like churchill you will not need analysis

get something like this to start with
https://www.amazon.com/Complex-Variables-Scientists-Engineers-Mathematics/dp/0486493474/