Split, parallel and single coil pickup differences

[Mac]

I’ve got a split/parallel/single coil switch on my Warwick Infinity and I’ve noticed the switch mentioned a couple of times here but I have no idea what the actual difference is between each of them.
Could one of the technical wizards please explain this to me?

[Malyngo]

Here is a video talking about the differences (Beware, it is shown on a guitar instead of a bass):

Series/Parallel/Single Coil - Pickup Wiring for Guitar Demo

The first third of the video is about the technical side, showing some diagrams, the rest is playing the guitar and showing the sound differences.
I recommend watching the first third, and for a sound demo, watch this video, which goes less into the technical side, but shows the sound differences on a bass:

Hear the difference! Single Coil, Parallel, Series Dual Coil pickups

[Mac]

Thank you @Malyngo