I'm just responding to the posted claims that the article in question "needs more examples....." The article, at its core, appears to contain no dearth of explanatory notes and in fact seems to contain adequate math info to carry the reader safely from start to finish-----albeit not without some thought-provoking moments. This, I say , based on having reviewed the article as a science teacher, alongside my colleague, who in fact is a certified math teacher. Granted, both of us have had advanced math to the level of differential equations, so our perspective may be more pragmatic than that of the avg reader-----I don't know.
I'm not a math OR physics wizard, but I find Wiki's step-by-step thru this to be cogent and commendable ; it is in fact clearer than that of many physics books. Wiki should not have to break down every single step----in this case----to the point where you cannot see the forest for the excess of trees......
Thanks, Wiki, for a sound explanation to a problem I really wanted to understand. Keep up the good work !