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comment Differentiating the ideal gas law
@Ron: OK, I'll look it up (if you have a suggestion for a couple of good ones, I'm listening ;-) )
comment Differentiating the ideal gas law
I could second that request for more references. I appreciate both answers, but the second one actually left more confuse. I am trying to find the time read this, but other than that, I have found no more books about this. Most calculus books I've seen never go beyond $\epsilon - \delta$ land...
comment On Einstein's original paper: speed of light in different reference frames
Thanks, that was most helpful. However, I still have a small itch. The calculation you show is how an observer in the stationary platform would proceed (i.e. taking into account the motion of the rod). Furthermore, Einstein states that $r_{AB}$ is "the length of the moving rod---measured in the stationary system". This would indicate that from the perspective of the stationary observer, the clocks at both ends of the rod (thus moving with it) would not be synchronous. Yet the article states this conclusion is drawn by observers moving with the rod. Where am I going astray?
comment Wheel moving without sliding
If once the wheel is rotating, no torque is required to keep it rotating (which is certainly the case if the wheel is, for instance, in outer space, due to the conservation of angular momentum), does that mean that, if it is rotating without sliding on a surface, in an idealized scenario where there is neither deformation nor dissipative forces, the wheel would rotate ad aeternum? If I understood your argument correctly, this seems a valid conclusion, but one that nonetheless strikes me as very counter-intuitive.