Well, those properties are only for holomorphic functions, otherwise its just as hard or worse.
Advanced Maths
Submitted 1 year ago by fossilesque@mander.xyz to science_memes@mander.xyz
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Comments
assa123@lemmy.dbzer0.com 1 year ago
itsnotits@lemmy.world 1 year ago
it’s* just as hard
kogasa@programming.dev 1 year ago
Holomorphicity is equivalent to (or defined as) being differentiable in a nonempty, connected, open set, so it’s not asking much. Even then, functions which fail to be holomorphic can often be classified in a similarly rigid way.
Leate_Wonceslace@lemmy.dbzer0.com 1 year ago
I had a 2-part real analysis course. I took the first one alongside complex analysis and the second alongside topology.
Shit was wild I kept leaning the same thing in 2 different classes in 2 different contexts, which made relating everything so much easier.
Definitely not as easy as the first semester of my BS, though. I took logic (as a philosophy credit), foundations, Algebra 1 (because the day before classes started I asked the teacher if the course would cover octonian algebra; I wanted to learn about non-associativity) and a bioethics class. That entire semester was learning how to argue and it was awesome.