DrGreg, Thankyou for your kind assitance to me and Starthaus. I couldn't help but think these were rather generally available in PF and elsewhere such as (http://en.wikipedia.org/wiki/Length_contraction). And a look at the Starthaus posts/blogs suggest that full use of these has already been made.Faradave, what is being asked for here are equations that express l' and t' in terms of l and t...
The more basic equations I offered, while not transforms in themselves, contain all the elements necessary to derive them (with a little help from Pythagoras). Alas, like my pseudonamesake, my math (and Latex) skills are not up to par and I am left at the mercy of intuition and the benevolence of aquaintences such as yourself.
Also like Faraday, I love to attend lectures, particularly those offered by The Teaching Company. One entitled, "Einstein's Relativity and the Quantum Revolution" by Dr. Richard Wolfson, offered a form which I like:
and the same for length, where v is the velocity of the moving frame expressed as a fraction of lightspeed.