Algebras of Linear Transformations

This book is concerned with the study of algebras of linear transforma tion acting on finite-dimensional vector spaces, which in one guise or another arise in various parts of modern mathematics. The book's aims are: (i) to give an exposition of the basic theory of finite-dimensio nal algebras at a level that is appropriate for senior undergraduate a nd first-year graduate students, and (ii) to provide the mathematical foundation that prepares the reader for the advanced study of any one of several fields of mathematics.