Book recommendation

devious_

I've been away for quite a while, and now I can't find the book forum.

Anyway, I'm looking for a book that covers introductory abstract algebra. The course outline is:
- (commutative) rings, fields, Z, Q, R, C, Z[i], polynomial rings, properties of Z.
- division algorithm, Euclidean algorithm, primes, congruences, Fermat & Euler theorems, unique factorization, linear and other congruence equations, Chinese Remainder Theorem
- sets, well-ordering, functions, equivalence relations, proof by induction, cardinality, existence of transcendentals
- finite fields, fundamental theorem of algebra, complex numbers
- polynomial rings, rational roots, irreducible polynomials, unique factorization

Thank you.

fourier jr

here it is
http://www.physicsforums.com/forumdisplay.php?f=21

there's a big textbook thread in there also. i think i recommended herstein's abstract algebra as an intro for algebra