Abstract Algebra: Theory and Applications

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.