Abstract Algebra: Theory and Applications
ISBN: 9781944325022
Platform/Publisher: Open Textbook Library / Saylor Foundation
Digital rights: Users: unlimited; Printing: unlimited; Download: unlimited
Subjects: Mathematics; Mathematics - Pure;

Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second-half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.

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