- #1
devious_
- 312
- 3
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, 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.
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.