Tbh I do not know how many lie on the between, it rather depicts me in undergrad.
Engineering is the art of calculation. Mathematicians suck at it
Sorry, but I’ve never seen engineers perform beautiful, artistics calculations - it was mostly to meet the end. Meanwhile, mathematicians do tons of them which are beautiful.
This is why I love comp sci. I hated math all through undergrad and only started to love it when I got much deeper into my career. I’m bad at calculations and find them tiring.
A beautiful, well written bit of code has a lot in common with a beautiful formula. And it has the huge advantage that the computer does all the tedious, error prone number crunching for me! That way I can focus just on the beauty of all the errors in my methodology, not my execution.
I don’t know what should be called calculations? I think that means finding out a value from some fancy mathematic framework. (Pure)Mathematicians build that framework, maybe engineers use it to find stuff
We pure mathematiciand do addition and multiplication all the time, it’s just that what it represents is like, identification of module of structure sheaf.
- Integration is just a summation, where limit is there to cover countablility!
Inventing calculus is different from doing integration. Thats what i’m saying
Calculus is addition but over “measurable” domains, it is a rather natural generalization.
Though, mathematicians do care about whether the calculation “makes sense” - that is, they care about the rigor. Which is why it may seem they invented something wild.
Inventing addition is different from adding things. They invented the continious addition in measurable domains. Even though they may calculate using calculus, they are about making the thing not doing calculations with the thing
Inventing addition is different from adding things. They invented the continious addition in measurable domains. Even though they may calculate using calculus, they are about making the thing not doing calculations with the thing
This meme is pure math vs applied math in a nutshell (from the view of an applied math lover)