I like the other ladies suggestions.
I want to suggest two more possiblities. My dd was loosing part of her hearing when she started becoming a bitter. Through talking to other parents and reading it seems like these little behaviors can often be a first sign of something not quite right. It can be just fluid in the ears from a head cold or allergies. Hearing test should be done in a booth, most hearing test in ped's offices are not very accurate. A tympana gram (SP) at the ped's office will only show fluid on the ear not actual hearing loss.
Also, have her eyesight evaluated. There are basic test (which I don't remember right off the top of my head) that can evaluate eyesight difficulties.
She can be perfectly normal, but early detection of sight and hearing difficulties can make a world of difference.
With my first when he went through a biting phase I would just put him down and walk away. I had a lot less patience and the space help me keep my cool. Which was better than what I was told to do. Give him a good pop, UGH!!!!!!!!! Ouch, sit down, walk away, take a deep breath, and then I picked him up with love.
My second one only bit her brother, never me (thank goodness). Even though she was young I would put her in a safe place and tend to my son who was physically hurt (some times bleeding!). I did not focus on her bad behavior but on the hurt child. She quickly learned that she got no attention and separate while my son got extra attention. Again, I guess you could say it was the same pattern. Ouch, sit down, walked away from, then picked up with love. (Could your reaction be why he is biting you so?) I do remember I never separated myself, dd, and ds for long just long enough to take care of the ouch. I know the few times my ds was bleeding it was longer than I liked but you have to take care of bleeding child first.
My third, this has not been a problem (Woo HOO!!!!!!).
Oh, with both of my children I learned to watch their behaviors leading up to biting to see what I could do to prevent it. I would give them the words they needed or cut them off before they bit.
Here is a good link on nursing and biting that might help you. http://www.kellymom.com/bf/older-baby/biting.html