Here's a quick lesson:
Speakers are big magnets attached to a cone (that lets it move) that is surrounded by a coil of wire (voice coil). Applying a current through the coil will make it attract or repel the magnet. Run a wave that alternates at a given frequency and the magnet will moved at that frequency. Moving the magnet stretches the cone surface which moves air creating sound waves that you hear.
You computer sound card puts out a reference signal which is the signal needed to drive the speaker to make sound. This signal is low voltage and not strong enough to produce very much sound at all. This is done to keep power requirements down on the card. This reference signal is fed into an amp (located in the sub for computer speakers, in HT recievers or can be seperate, like in high end car audio). The amp takes that reference signal, boosts the power and then sends that signal out to the speakers. You have to amplify one signal at a time, so for 2 channel stereo, you either need 2 amps or one 2 channel amp.
You have a sound card that puts out a reference signal (low power) you have car speakers that require amped power (power rating should be on box and back of speaker). You need a way to increase the power of the reference signal to the power required by the speakers.
Now I'm assuming these are midrange speakers. If they are high end tweeters or a sub then you will want a cross over which will limit the frequencies passed to the speakers so you aren't trying to play stuff that is out of range of the speakers.