Introduction to Abstract Algebra, 7th Edition

Introduction to Abstract Algebra, 7th Edition

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This is the classic text for the first undergraduate course in abstract algebra; it follows the "rings before groups" philosophy that relies on the student's familiarity with the ring of integers to make the abstract axioms feel more concrete. The text and exercises are coordinated to help the student learn to read and write mathematical proofs. To achieve an understanding of the methods of proof, the unique factorization theorems are presented several times in different contexts. The integers are covered first, then polynomial rings over a field and, in the final chapter, factorization in pri...