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I'm hoping this isn't too imprecise, but what are the easiest or simplest (or fastest) ways to derive the Lorentz transformation equations you know? I am not after blatant corner cutting here, by the way. Just either low level math requirements OR simplest, most direct methods.

This is open to your interpretation of "easiest," but if anyone has any ideas, here are the two main definitions of easiest I mean:

(1) Easiest mathematically: what is the simplest way to get the Lorentz transformation equations in terms of lowest math level required.

(2) Easiest in terms of expediency/eloquence, etc.: regardless of mathematical complexity, which brings out the transformation fastest, or simplest? (as an example of the kind of thing I'm looking for in this definition of "simple," you can derive equations of motion of a system using vectors and Newton's laws, and worrying about various constraint forces, or you can use Lagrangian mechanics and not have to worry about much of that. In this case I would consider Lagrangian mechanics "simpler.")

Again, I hope what I'm asking is comprehensible, but if you understand what I'm saying, please post your method of choice that you feel is simplest/easiest (whichever definition of simple or easy you prefer).