Unless you play BGT, the only character that takes the extra points with him to BG2 is your main character, that makes him the first choice for me to give the books to.
Mind however, that there are a lot of instances in which the extra points are as good as useless on a certain character, even your main one, and can be very benificial on your other character. You can find out for yourself what a 1 point increase by consulting the tables in the manual.
If for example my PC is a Fighter with 18(50) STR and 10 INT and I got Imoen in my party (STR 9, INT 17), these are the effects of the STR and INT tomes respectively:
Giving Imoen the STR increase as Aliasalpha would have it, only serves to increase her weight allowance by 20 lbs (from 50 to 70), but she wouldn't be your packhorse anyway. Giving the STR tome to a Fighter with 18(50) STR increases his STR to 19, meaning: an extra +2 to hit, +4 damage and +280 lbs weight allowance (from 220 to 500). If my main character would't have a fighter class, the benefits to the group (and so to your PC as well) would be much greater by giving the STR tome to Minsc, Kivan or Shar-Teel: the 18+ STR warriors.
Take a look at the INT tome: giving it to my Fighter with 10 INT, increases it to 11, which doesn't do anything (besides *SLIGHT SPOILER WARNING* a slight advantage when dealing with Intelligence-devouring creatures in BG2).
If (what's often done, and even canonical, she starts in BG2 that way) Imoen is dual-classed to Mage, giving her the INT tome would increase her INT to 18, resulting in a better chance to learn spells and making her able to have 4 more spells/level in her spellbook. When I have Imoen as main mage (same holds true for Dynaheir and Xan) it would mean giving her increased flexibility in spellcasting and almost doing away with the frustration of having to erase lesser useful spell if I find a useful spell for her but the spellbook for that level is full.
So if a certain increase is next to useless for your main character, even the PC himself benifits from giving it to the character for whom that stat is the most important one - by increasing the group efficiency and thus the ease with which xp is earned and items are gathered.