I'm just going to post images of what AA and AF do.
They do not alter the shape of anything in the game. They do not touch polygons and increase their count or whatever.
Anti-aliasing, in simple terms, simply removes jagged edges.
Anisotropic filtering, in simple terms, improves texture quality at distances.
The base images (full resolution) can all be found here:
imk.cx: /screenshots/pc_games/counter_strike:_source/aa_af/base_images/
If you do go here, I recommend using Firefox and using the middle mouse button to open all the images in their own tabs. Then you can simply switch between the tabs to view the big picture and the impact it makes on the entire scene.
Here are some examples of AA.
0x AA (Completely Disabled)
2x MSAA
4x MSAA
8x MSAA
8x CSAA
16x CSAA
16xQ CSAA
Here are some examples of AF.
Bilinear Filtering
Trilinear Filtering
Anisotropic Filtering - 2x
Anisotropic Filtering - 4x
Anisotropic Filtering - 8x
Anisotropic Filtering - 16x
I use 16xQ CSAA, 16x AF, and other very high quality settings in the nVidia control panel (things that can't be set in-game).
Here are some Wikipedia links if you wish to read into all of this further.
Anti-Aliasing Full Scene Anti-Aliasing (FSAA)
Supersampling Multi-Sample Anti-Aliasing (MSAA)
Coverage Sample Anti-Aliasing (CSAA - You need to read towards the end of the paragraph to read what's different)
Bilinear Filtering Trilinear Filtering Anisotropic Filtering