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Basic Algebra

Table of Contents

 Contents.- Preface.- Guide for the Reader.- Preliminaries about the Integers, Polynomials, and Matrices.- Vector Spaces over Q, R, and C.- Inner-Product Spaces.- Groups and Group Actions.- Theory of a Single Linear Transformation.- Multilinear Algebra.- Advanced Group Theory.- Commutative Rings and Their Modules.- Fields and Galois Theory.- Modules over Noncommutative Rings.- Appendix.- Index.

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