A First Course in Linear Algebra

The linear algebra textbook with freedom

About

This page contains more explanation about this project. The preface from version 1.00 contains more specific details about how and why I wrote this book and is a good place to begin. The News section below lists some of the milestones in the development of the book, while greater detail can be found in the current Change Log, which is available off the Download page. The Download page also includes a link to two sample sections.

About the Author

On Ben Crowell's site, where he distributes copies of his Light and Matter textbook, he says "Who am I and why should you trust me to tell you about science?" So why would you trust me to tell you about linear algebra? Especially when there is no publishing house in sight to have put some real money behind this project to manufacture a warehouse full of physical copies of the book.

I have been teaching undergraduate mathematics since 1978. The first six years were at the University of Illinois as a graduate teaching assistant with sole responsibility for my own sections. Since 1984, when I received my Ph.D. in mathematics from Illinois, I have taught at the University of Puget Sound, a small liberal arts college which emphasizes excellent teaching, while also valuing the faculty's role as scholars. I have taught linear algebra to sophomores on twenty-six occasions (as of December 2006).

My research interests are in graph theory and combinatorics, and often involve the interplay between these disciplines and algebra. I have published three times in the journal Linear Algebra and Its Applications. Several other of my articles contain topics from linear algebra and have been published in journals such as Journal of Graph Theory and The Journal of Combinatorial Theory, Series A. A recent paper on algebraic topics appeared in Expositiones Mathematicae, a journal devoted to good expository writing.

You can learn more about me, and my work, by visting my home page. The proof is in the pudding. Read the book, use it. Study the proofs. If you come to understand the major ideas and subtleties of linear algebra, then it is doing its job.

By The Numbers (December 2006)

Milestones

January 15, 2008 100,000 visitors at website.
January 11, 2007 100,000 page views at website.
December 21, 2006 Print-on-demand physical copies available.
December 11, 2006 Version 1.00 available.
December 9, 2006 Online MathML/XML version debuts.
October 5, 2006 Began releasing Archetype Summary. (Ari Milner's suggestion.)
August 22, 2006 Version 0.80 released for Fall 2006 course.
January 5, 2006 Version 0.70 released for Spring 2006 course.
October 27, 2005 Added RSS feed to website.
August 28, 2005 Version 0.50 released for Fall 2005 course.
August 24, 2005 Weekly releases begin for Fall 2005 semester.
August 11, 2005 Website redesign.
April 14, 2005 Version 0.40, nearly complete content for UPS course.
January 17, 2005 Version 0.30 for Spring 2005 course.
January 13, 2005 TeX source debuts.
December 31, 2004 GFDL license chosen.
November 28, 2004 Finished theoretical content for UPS course.
September 30, 2004 Began adding homework problems.
September 23, 2004 Widescreen format for easier on-screen viewing.
September 16, 2004 Flashcards debuted.
July 27, 2004 Version 0.10 for Fall 2004 course (about half-complete).
http://linear.ups.edu/about.html