Abstract Algebra

Abstract Algebra: Theory and Applications is an open-source textbook written by Tom Judson 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 nontrivial 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.

Abstract Algebra: Theory and Applications este un manual open source scris de Tom Judson, care este conceput pentru a preda principiile si teoria algebrei abstracte juniorilor si seniorilor din facultate intr-o maniera riguroasa. Punctele sale forte includ o gama larga de exercitii, atat de calcul, cat si teoretice, plus multe aplicatii netiviale.