TITLE: A book for abstract algebra with high school level
QUESTION [10 upvotes]: Any book that I find on abstract algebra is somehow advanced and not OK for self-learning. I am high-school student with high-school math knowledge. Please someone tell me a book can be fine on abstract algebra? Thanks a lot.

REPLY [2 votes]: Try Pinter's A Book of Abstract Algebra.  Over half the book is extended problems that you're gently led through as you sort of discover algebra on your own.  There are nice applications to computer science, genetics and kinship networks too.  You'll have a great time!
Stahl's Introductory Modern Algebra, a historical approach is worth a look for the way it takes you very early on, after a minimum of pain, to a handwaving (but satisfying for me!) understanding of some of the classic results (quadrature of the circle, constructibility of regular polygons).  He also covers an offbeat topic -- the cubic equation (i.e. the next thing after the quadratic equation) -- which is surprisingly interesting (even after you apply the formula, it can take some trickery to simplify your result).  But I wouldn't embark on Stahl if I wanted to learn the standard results in the standard order; consider it supplementary reading.
Herstein is way harder than either of these.  If you're in high school and you can handle Herstein (like, you can work his medium-difficulty problems on your own), you should look for a pro mathematician to mentor you. (At that point you're probably one of the best students your high school teacher has ever seen, maybe he/she could help you find someone.)