An Introduction to Linear Algebra

Several books on linear algebra have been written however, the present rigorous and transparent introductory text can be used directly in class for students of applied sciences. In an effort to bring the subject to a wider audience, this book provides a compact but thorough introduction to the topic. This book is intended for a senior undergraduate and for a beginning graduate one-semester course. The subject matter has been organized in the form of theorems and their proofs, and the presentation is rather unconventional. It comprises 25 class tested lectures that the first author gave to math majors and engineering students at various institutions over a period of almost 40 years.

Ravi P. Agarwal is a professor and the chair of the Department of Mathematics at Texas A&M University–Kingsville. Dr. Agarwal is the author or co-author of 1400 scientific papers and 40 monographs. His research interests include nonlinear analysis, differential and difference equations, fixed point theory, and general inequalities.

Cristina Flaut is a professor in the Department of Mathematics and Computer Science at Ovidius University, Romania. Dr Flaut is the co-author of more than two dozen papers and monographs. Her research interests include linear algebra, non-associative algebras, coding theory.