Includes bibliographical references (pages 297-299) and index.
CONTENTS NOTE
Text of Note
Sets and induction -- Binary operations -- Groups -- Fundamental theorems about groups -- Powers of an element ; cyclic groups -- Subgroups -- Direct products -- Functions -- Symmetric groups -- Equivalence relations ; cosets -- Counting the elements of a finite group -- Normal subgroups -- Homomorphisms -- Homomorphisms and normal subgroups -- Direct products and finite Abelian groups -- Sylow theorems -- Rings -- Subrings, ideals, and quotient rings -- Ring homomorphisms -- Polynomials -- From polynomials to fields -- Unique factorization domains -- Extensions of fields -- Constructions with straightedge and compass -- Normal and separable extensions -- Galois theory -- Solvability.