imaginary and complex numbers are really helpful in real life, it makes vector and wave calculations SO much easier. We use imaginary numbers in many field; just to mention few:
Quantum mechanics, fluid dynamics and electromagnetism.
JUST so you know, imaginary numbers are used when finding the phase of an AC current and during electromagnetic induction. Without any of these two you wouldn't even have the electricity to be posting here. Just because you get F s in math and can't think of examples of applications of math doesn't mean math is pointless.
except if teachers actually explained where certain maths are applicable, we probably wouldn't think it's so pointless. To assume someone is getting Fs in math is making you a bit of a douchebag, you could've just informed others as to where this math is from without dumbing others down.
Nobody said the contrary. Nobody insulted your beloved imaginary numbers.
Also, imaginary numbers are not necessary to find the phase of an AC current during electromagnetic induction. They are really really useful, but not strictly necessary.
The problem is math and physics are taught like two different things in highschools. When they should be taught as one. If you teach a kid about imaginary numbers he will think WTF? But if you explain where does the idea come from and why it is useful I find it really easier.
It's like relativy. Some people think, where the **** does this **** come from? If u explain the problematics of the speed of light and all the **** in before Einstein it becomes more logical. If not, Einstein seems like a lunatic who just kind of thought about a strange theory.
without math physics would be in the dark ages :)
Physics is very dependant on math, probable highschool physics might be easy to do since it is mostly multiplications, but once you get to harder physics you will realize that without math, physics would be unreliable.
They take advantage one from the other: the need of a way to describe the reality has lead to new math methods and theorems (ie differential calculus), and advanced math has lead to important physical evidences(ie omega vector/rotational vector)!
Without physics math would be in the dark ages :)
Math is very dependant on physics, probable highschool math be easy to do since it is mostly multiplications, but once you get to harder maths you will realize that without physics, math wouldn't exist.