Nathan Jacobson's Basic Algebra I does not refer to basic, beginner algebra, but rather the first course one takes after linear algebra. This dense text provides both instruction and practice in understanding concepts from set theory, monoids and groups, rings, modules over a principal ideal domain, Galois Theory of equations, real polynomial equations and inequalities, metric vector spaces and the classical groups, algebras over a field, and lattices and Boolean algebras. Carefully explained proofs are also included. 499 pages, indexed, softcover.
