Can anyone show how the Galilean transform equations are arrived at. (namely, x'=x-vt)
And from that deduce the Einstein-Lorentz transformations for the theory of special relativity explaining in the most simplest and easiest way for my understanding, please, thankyou.

Galileo transformations

We take two systems of coordenates, S and S´

System S

x = x´+ ut´

Vx = V´x

Ax = A´x


System S´

x´= x - ut

V´x = Vx - u

A´x = Ax

For de Lorenz transformations, the thing goes more or less this way:

http://www.marxists.org/reference/archive/einstein/works/1910s/relative/ch11.htm

Special relativity is restricted for the case of the light in not inercial frames of reference, being like that Lorenz's coordinates take so much as them of Galilean to develop the theory in this case.

A greeting