I've been trying to find a complete list of the c/c++ libraries and all of their functions, but everywhere I look, I only find a part, never the whole thing. Is there a website where I can find such detailed list?

If you mean a complete reference of the standard library, I prefer Dinkumware. If you mean all libraries under the sun (as some bozos come here expecting), it doesn't exist.

You can find a pretty good reference here. Doubt it's complete, but it has most commonly used libraries.