Hi pure math. Yeah, YOU WON’T BE SO HAPPY NOW IF IT WEREN’T FOR YOUR APPLICATIONS.
So let’s talk about that part of math that loves continuity. I talked about it before, ehe, calculus (analysis in general), differential equations, etc. YOU WOULDN’T EXIST IF IT WEREN’T FOR PHYSICS PUSHING SOME PROBLEMS THAT REQUIRED YOU TO BE DEVELOPED IN ORDER TO SOLVE THEM. Ordinary differential equations originally described the motion of masses. Then partial differential equations came to describe wavy waves and diffusing heat. SO BE THANKFUL TO PHYSICS.
And how about that part of math that’s addicted to puzzles? Discrete math? Yeah, it wouldn’t even exist if people in the BCEs weren’t bored with puzzles, or if Euler didn’t care about that Konigsberg bridge problem, or if Turing, Lovelace, and Babbage didn’t invent the computer. Or if Hamming and von Neumann wasn’t concerned about error correction.
AND FINALLY. Probability theory. Probability theory wouldn’t be as developed today if it weren’t for physics trying to solve many-body problems or statistics trying to predict the nature of a sample size.
SO FAR the only part of pure math that I could think of that could exist without inspiration from its applications is number theory. Then again, analysis, algebra, and geometry are all used in number theory, and analysis, algebra, and geometry wouldn’t be who they are today if not for physics, computer science, etc. etc.
I COULD GO ON BUT I THINK I’VE SCITPOSTED ENOUGH TODAY, SEE PREVIOUS SCITPOSTS :)))