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My World of Linear Algebra
Welcome. So why this page? In my own work I've encountered many flavors of mathematics (group theory, ring theory, commutative algebra, applied mathematics and numerical analysis, etc) and a common thread throughout my mathematical experiences has been linear algebra. I've taught the subject many times, and it seems that students are always teaching me something new about the subject as well. So, as you can see, I think linear algebra is a really great subject. It seems to be connected to everything. In fact, I think for many science/math students it's every bit as important as calculus.
The original impetus for this page was to provide a viewing of a textbook that I've been writing about linear algebra off and on since about 1992. I've used a number of tools in the linear algebra course that I've taught, starting with the venerable HP-28 in 1987 and moving up to advanced computer algebra systems (CAS) like Maple and Mathematica, and matrix algebra systems (MAS), like Matlab and Octave. I would like to share some of the resources that I've found and/or developed in conjunction with my text. I used these resources in many other courses I taught, primarily numerical analysis and differential equations, and I hope that others will find uses for them in their own courses. Some of the tools are rather dated, so user beware.
In addition, this Web page is also somewhat dated as that I retired in 2010, so it's a bit rough at the edges. Nonetheless, I'll be adding features and some new pages, so linear algebra fans, stay tuned! BTW, if you do find any of the resources that I've created here useful, I would appreciate hearing about it.
Note: I have some new information to share regarding my textbook: It has continued to enjoy some success after a decade and the folks at Springer-Verlag felt that a new edition would be a worthwhile endeavor. To this end I have just completed a revision of the textbook. My editor, Loretta Bartolini, and her staff were incredibly helpful and patient in shepherding me through to the completion of this project at what was a difficult time for me. For this I want to acknowledge and thank her and all her staff! For information about the revision click on the first link below. The second link contains information about ALAMA Calculator, which I wrote as an optional, but sometimes entertaining and instructive, companion to my text.
Linear Algebra Resources
- Applied Linear Algebra and Matrix Analysis, 2nd Ed. My textbook for an introductory linear algebra course, revised edition, 2018.
- Tom Shores: Ends and Odds Information about ALAMA Calculator.
- Applied Linear Algebra and Matrix Analysis My textbook for an introductory linear algebra course, first edition, 2007.
- Maple Notebooks Tutorial notebooks in Maple, some of which are the basis for linear algebra projects.
- Mathematica Notebooks Tutorial notebooks in Mathematica, some of which are the basis for linear algebra projects (in old Mathematica .ma and new .nb formats.)
- Linear Algebra Octave Files Program files for a Matlab-like program called Octave which I have found very useful in linear algebra. With a little tweaking, these will run under Matlab.
- LyX Home Page Program files for an outstanding WYSIWM front end for Latex that I have used to write notes, research articles and the ALAMA textbook.