Can functional analysis replace real analysis and complex analysis? ive asked this on here before but didn't get an explanation
Obviously not. Why the fuck would it? Those are completely different subjects.
>>16259556Functional 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.
>>16259556Complex analysis doesn't need to be replaced, it needs to be abolished. Imaginary "numbers" were a mistake.
>>16259769Ask me how I know you've never studied complex analysis.
>>16259771I did study it. That's how I grew to hate it.
>>16259778What did you hate about it?
>>16259784It's ungeometric.
>>16259793Wrong.
