Fundamentals of linear algebra

Abstract

This textbook is meant to be a mathematically complete and rigorous introduction to abstract linear algebra for undergraduates, possibly even first year students, specializing in mathematics. Linear algebra is one of the most applicable areas of athematics. It is used by the pure mathematician and by the mathematically trained scientists of all disciplines. This book is directed more at the former audience than the latter, but it is hoped that the writing is sufficiently clear with enough detail so that the anyone reading the text can understand it. While the book is written in an informal style and has many elementary examples, the propositions and theorems are generally carefully proved, and the interested student will certainly be able to experience the theorem-proof style of text.