Undergraduate Algebra

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Focusing on the foundational aspects of algebra, this book offers a comprehensive curriculum for undergraduates, emphasizing the importance of linear algebra as a precursor to more abstract concepts like groups, rings, and fields. It provides clear definitions and proofs regarding vector spaces, matrices, and linear maps, making it suitable for either a one-term or year-long course. Notably, it prioritizes field theory and Galois theory, including a dedicated chapter on finite fields, which are significant in coding theory.