It entirely depends on your goals. If you want to be a productive engineer, then most of that stuff is not going to be useful in your job.
OTOH, if you study physics at an advanced level, it's rather shocking how effectively all that analysis models the world, despite throwing away a lot of information. Try studying solid state physics. It's crazy the number of assumptions they make, and yet the theory still produces very accurate results.
There's a reason Eugene Wigner penned an essay with the title "The Unreasonable Effectiveness of Mathematics".
OTOH, if you study physics at an advanced level, it's rather shocking how effectively all that analysis models the world, despite throwing away a lot of information. Try studying solid state physics. It's crazy the number of assumptions they make, and yet the theory still produces very accurate results.
There's a reason Eugene Wigner penned an essay with the title "The Unreasonable Effectiveness of Mathematics".