This is the exact point that confused me a lot (and still confuses me) when I tried to read the "The Theoretical Minimum: What You Need to Know to Start Doing Physics" : "Hey, let's just fix/define the lagrangian as T - V and you'll see that after some magical math stuff in the following chapter, we'll find back newtonian equations. Trust me for now".
If anyone has a reference/book/paper that allows you to learn this concept more intuitively, I'd be grateful.
If anyone has a reference/book/paper that allows you to learn this concept more intuitively, I'd be grateful.