I would recommend these two
http://www.amazon.com/Professional-Techn...2102&sr=8-1http://www.amazon.com/Creative-Canine-Photography-Larry-Allan/dp/158115321X/ref=pd_bxgy_b_text_bboth are good books, I prefer the Larry Allan book because of its greater depth about dogs. Neither is very strong in the lighting department.
To study lighting, it would be best to used a stuffed animal in a dark room; get a cheap home depot light and move it about the room and observe the highlights and shadows.
I have found tons of great info online but not much that deals with pets. Some of the same lighting that applies to humans applies to dogs and cats. In this age of digital, it is best to get your stuffed animal and practice, that would be the fastest way to learn.
In general, I use a fill light near the camera; my main light is either 90 degrees to the side or 45 degrees to the side. I usually use some type of hair light. If shooting a black background, I add a bit of light between the animal and the background to provide some separation-so the animal does not merge into the background. For a white background, I light it (the background) with multiple lights.
I use a combination of reflectors, soft boxes, umbrellas, snoots, barn doors, etc but to start with, just use the basics.
Some may recommend to do frontal lighting. In my opinion, this is the worst choice because the fur needs the shadows provided by the main or key side lighting.
Please, ask any questions, we are a group ready to help.