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Anonymous No. 16259556

Can functional analysis replace real analysis and complex analysis? ive asked this on here before but didn't get an explanation

Anonymous No. 16259679

Obviously not. Why the fuck would it? Those are completely different subjects.

Anonymous No. 16259731

>>16259556
Functional analysis relies on both real and complex analysis in order to be sound. Your question makes as little sense as saying "can you replace an engine with a car?" A car needs an engine to be a car. Functional analysis needs real analysis (and some amount of analytic function theory) in order to make any sense at all, as real analysis will give you the set theoretic foundations to produce functional analytic understandings of measurable set mappings.

Anonymous No. 16259769

>>16259556
Complex analysis doesn't need to be replaced, it needs to be abolished. Imaginary "numbers" were a mistake.

Anonymous No. 16259771

>>16259769
Ask me how I know you've never studied complex analysis.

Anonymous No. 16259778

>>16259771
I did study it. That's how I grew to hate it.

Anonymous No. 16259784

>>16259778
What did you hate about it?

Anonymous No. 16259793

>>16259784
It's ungeometric.

Anonymous No. 16259829

>>16259793
Wrong.