About Book
Firstly this text was start as introduction of some basic new ideas. Notable examples are the development of category theory, which provides a useful frame work for a large part of mathematics, homological algebra and applications of model theory of algebra. It is now taken for granted that the methodology of algebra is an essential tool in mathematics. Basic Algebra 1 by Nathan jacobson explores all of the topics typically covered in undergraduate courses, including the rudiments of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. Its comprehensive treatment extends to such rigorous topics as Lie and Jordan algebras, lattices, and Boolean algebras. Volume II comprises all subjects customary to a first-year graduate course in algebra, and it revisits many topics from Volume I with greater depth and sophistication.
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