In the books, there are "Others" and then there are "White Walkers," or wights, the undead thralls of the Others. But in the TV series they call the Others "White walkers," I assume this is because of the popularity of the show "Lost" which had its own version of "others." So, in an effort to avoid confusion, they decided to make things more confusing than they had to be....
For once I have to agree with Corbon on this (I won't confuse you with the heresy). The terms Others and White Walkers appear to be interchangeable in the books - with occasional variations such as White Shadows and even the Cold Gods - and just for the record the first use of the term White Walkers is quite early on by Mormont in the Tyrion chapter where he's trying to persuade him to get reinforcements sent to the Wall.
Neither Others nor White Walkers are Wights and just for the avoidance of all doubt, while Wights are unquestionably dead things, GRRM has clearly stated:
'The Others are not dead. They are strange, beautiful… think, oh… the Sidhe made of ice, something like that… a different sort of life… inhuman, elegant, dangerous.'