ABSTRACT

The first and second editions of this successful textbook have been highly praised for their lucid and detailed coverage of abstract algebra. In this third edition, the author has carefully revised and extended his treatment, particularly the material on rings and fields, to provide an even more satisfying first course in abstract algebra.

chapter Chapter One|21 pages

Sets and Logic

chapter Chapter Two|13 pages

Some Properties Of ℤ

chapter Chapter Three|12 pages

Equivalence Relations And-Equivalence Classes

chapter Chapter Four|14 pages

Mappings

chapter Chapter Five|8 pages

Semigroups

chapter Chapter Six|20 pages

An Introduction to Groups

chapter Chapter Seven|15 pages

Cosets and Lagrange’s Theorem on Finite Groups

chapter Chapter Eight|20 pages

Homomorphisms, Normal Subgroups, and Quotient Groups

chapter Chapter Nine|28 pages

The Symmetric Group Sn

chapter Chapter Ten|29 pages

The Fundamentals Of Ring Theory

chapter Chapter Eleven|48 pages

Polynomials and Fields