Introduction to Modern Algebra

Product Description

This text is intended for use in a first course in abstract algebra. In the present undergraduate curriculum, the first course often serves several purposes. The student is expected to learn a collection of facts, some methods and ideas, and to learn to read and write correct proofs. All of these requirements have been carefully considered in the preparation of this text. The material in Chapter 4, for example,presents the unique factorization theorem, with all the required preliminaries, first in the familiar setting of the integers, then in the less familiar but still concrete setting of the ring of polynomials over a field, and then finally in the very general situation of a Euclidean do…