Basic Algebra I
This volume and its companion are the product of an excellent algebraist who taught at Yale for two decades, and they have become a classic text and standard reference for a generation. Nathan Jacobson's works have a philosophical and theoretical bent to them, and they are useful references in addition to being instructional readings.
Volume I covers the fundamentals of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra, as well as the rudiments of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. It covers a wide range of subjects, including Lie and Jordan algebras, lattices, and Boolean algebras. Exercises, as well as smart, well-explained proofs, are sprinkled throughout the text. Volume II covers all of the concepts covered in a first-year graduate algebra course, as well as revisiting many of the topics covered in Volume I in more detail and sophistication.
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