id: 02313392
dt: b
an: 1997a.00453
au: Rotman, J.J.
ti: A first course in abstract algebra.
so: Prentice Hall, Upper Saddle River, NJ (US) (ISBN 0-13-311374-4). 276 p.
(1996).
py: 1996
pu: Prentice Hall, Upper Saddle River, NJ (US)
la: EN
cc: H15
ut:
ci:
li:
ab: The textbook introduces three related topics: number theory (division
algorithm, greatest common divisors, unique factorization into primes,
and congruences), group theory (permutations, Lagrange’s theorem,
homomorphisms, and quotient groups), and commutative ring theory
(domains, fields, polynomial rings, homomorphisms, quotient rings, and
finite fields). The final chapter combines the preceding chapters to
solve some classical problems: angle trisection; squaring the circle;
doubling the cube; construction of regular n-gons; and impossibility of
generalizing the quadratic, cubic, and quartic formulas to polynomials
of higher degree. The book also introduces into reading and writing of
proofs by giving models of proof.
rv: