Linear Algebra Gems: Assets for Undergraduate Mathematics

Undergraduate linear algebra is both beautiful and replete with real world applications and connections to the rest of mathematics. The purpose of the present volume is to enrich the understanding of linear algebra for a wide audience by placing a broad collection of short items in the hands of teachers, students, and others who enjoy the subject. Because undergraduate linear algebra is so fundamental to the mathematics curriculum, it is often taught by non-specialists and specialists alike. "Linear Algebra Gems" offers to all teachers clever ways in which core ideas can be presented to their students.

Most articles are accessible to those with modest preparation in linear algebra, including beginning students. However, many items will also contain pleasant surprises even to those well-versed in the subject. The editors have combed through the literature, and have selected from original submissions, to find expository articles and problems to enrich the reader's understanding. The seventy-three articles selected are organized into nine sections, with over 120 problems grouped into subject categories as a tenth section.

Contributors to the volume include experts in the field and long-time teachers of linear algebra. The book was prepared as part of a broad contract with the National Science Foundation to improve undergraduate linear algebra education. The editors hope that many readers will find enjoyment from this collection.

David Carlson is a professor of mathematics at San Diego State University. His professional interests include linear algebra and matrix theory.

Charles Johnson is a professor of mathematics at the College of William and Mary. His mathematical work has been in matrix analysis and combinatorics.

David Lay is a a professor of mathematics at the University of Maryland. His main areas of interest are functional analysis, and linear algebra.

A Duane Porter is a professor of mathematics at the University of Wyoming. His main areas of interest are matrix theory, finite fields, and the teaching of linear algebra.