A Concrete Approach to Abstract Algebra: From the Integers to the Insolvability of the Quintic

Beginning with a concrete and thorough examination of familiar objects like integers, rational numbers, real numbers, complex numbers, complex conjugation, and polynomials, in this unique approach, the author builds upon these familiar objects and then uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students.

A Concrete Approach to Abstract Algebra begins with integers and introduces difficult topics after a solid introductio...