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Book recommendation

  1. Sep 15, 2005 #1
    I've been away for quite a while, and now I can't find the book forum. :confused:

    Anyway, I'm looking for a book that covers introductory abstract algebra. The course outline is:
    - (commutative) rings, fields, Z, Q, R, C, Z, 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.
     
  2. jcsd
  3. Sep 15, 2005 #2
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