# Maxwells Equations being non-invariant with Galilean transformations

1. Jun 28, 2012

### Xyius

I just purchased a book on the introduction of special relativity and I seem to be stuck on a simple mathematical step. For some reason I just cant see this!

This is what it says:
Gotta love getting stuck on something when the book says its "Easy to see." Confidence -1.

2. Jun 28, 2012

### Staff: Mentor

The Galilean transformation in this case is x' = x - vt; y' = y; z' = z; t' = t.

Apply the chain rule for partial derivatives, e.g.

$$\frac{\partial}{\partial t} = \frac{\partial x^\prime}{\partial t} \frac{\partial}{\partial x^\prime} + \frac{\partial y^\prime}{\partial t} \frac{\partial}{\partial y^\prime} + \frac{\partial z^\prime}{\partial t} \frac{\partial}{\partial z^\prime} + \frac{\partial t^\prime}{\partial t} \frac{\partial}{\partial t^\prime}$$