How to Derive Lorentz Transformations?

[Kyoma]

Homework Statement

2 INERTIAL frames S and S^':

Coordinates of S: (x,y,z,t)
Coordinates of S^': (x^',y^',z^',t^')

Whereby:

x^': x-ut
y^': y
z^': z
t^': t

The point is how do you convert the coordinates of S^' to the ones in Lorentz transformation. I know the formulas but I do not know how to derive them. I'm new to this concept. No complicated things.. :P

I know the meaning of Lorentz factor... so yeah.

 

[Pi-Bond]

You have quoted the Galilean transformations. You can have a look at a derivation here:

http://www.bartleby.com/173/a1.html

The idea of the transformation is the same as the Galilean ones; by substituting values for an event (t,x,y,z) you can get the coordinates of an event in another frame (t',x',y',z')