Linear Algebra: An Introduction

by Richard Bronson

In this appealing and well-written text, Richard Bronson gives readers a substructure for a firm understanding of the abstract concepts of linear algebra and its applications. The author starts with the concrete andcomputational (a 3 x 5 matrix describing a stores inventory) and leads the reader to a choice of major applications (Markov chains, least squares approximation, and solution of differential equations using Jordan normal form). The first three chapters address the matrices, vector spaces, and linear transformations. The next three cover eigenvalues, Euclidean inner products, and Jordan canonical forms, offering possibilities that can be tailored to the instructors taste and to the length of the course. Bronsons approach to computation is modern and algorithmic, and his theory is clean and straightforward. Throughout, the views of the theory presented are broad and balanced. Key material is highlighted in the text and summarized at end of each chapter. The book also includes ample exercises with answers and hints. With its inclusion of all the needed pedagogical features, this text will be a pleasure for teachers and students alike.


* Gives a firm substructure for understanding linear algebra and its applications
* Introduces deductive reasoning and helps the reader develop a facility with mathematical proofs
* Begins with the concrete and computational (a 3 x 5 matrix describing a stores inventory) and leads the reader to a choice of major applications (Markov chains, least squares approximation, and solution of differential equations using Jordan normal form)
* Covers matrices, vector spaces, linear transformations, as well as applications to Jordan canonical forms, differential equations, and Markov chains
* Gives computational algorithms for finding eigenvalues and eigenvectors
* Provides a balanced approach to computation and theory
* Highlights key material in the text as well as in summaries at the end of each chapter
* Includes ample exercises with answers and hints, in addition to other learning features

504 pages, Paperback

First published January 1, 1995

About the author

Richard Bronson is Professor Emeritus of Mathematics at Fairleigh Dickinson University where he served as Chair of the Department of Mathematics and Computer Science, Acting Dean of the College of Science and Engineering, Interim Provost of the Metropolitan Campus, Director of Government Affairs, and Senior Executive Assistant to the President.

Antispin is his first novel. He also wrote eleven books in mathematics, some in their third edition with many translated into multiple languages. He has published children’s poetry in magazines, including Highlights for Children, and was on the editorial staff of the professional publications Simulation Magazine and SIAM News and the children’s magazine, Kids Club.

In 1994, Richard Bronson was awarded the Distinguished College or University Teaching award by the New Jersey Section of Mathematical Association of America. He also received the Fairleigh Dickinson University Distinguished Faculty Award for Research & Scholarship, the Distinguished Faculty Award for Service, and the University College Outstanding Teacher Award.