This is the second in a series of three volumes dealing with important topics in algebra.
Volume 2 is an introduction to linear algebra (including linear algebra over rings) Galois
theory representation theory and the theory of group extensions. The section on linear
algebra (chapters 1-5) does not require any background material from Algebra 1 except an
understanding of set theory. Linear algebra is the most applicable branch of mathematics and
it is essential for students of science and engineering As such the text can be used for
one-semester courses for these students. The remaining part of the volume discusses Jordan and
rational forms general linear algebra (linear algebra over rings) Galois theory
representation theory (linear algebra over group algebras) and the theory of extension of
groups follow linear algebra and is suitable as a text for the second and third year students
specializing in mathematics.
