Welcome to the website of M. D. Taylor. The site exists to share some of my writings (mainly science fiction and fantasy) and certain bits of mathematics.

I have just put up a new short story, *Silverlorn* in the *Miscellany* section.

I have taken down my e-book *The Blue-Haired Shadow and Other Tales*. The hope is to add some stories to it and put it back up in the not-too-distant future.

My most recent nonfiction post is something called *An Alternative to Physicalism.*

There are a number of links on the **Links** page to local science fiction and fantasy groups, authors, and authors-in-the-making. There is quite a bit of activity of that sort here in the Orlando area, though people who share these interests are often only hazily aware of one another. This list is far from complete and will hopefully grow with time.

I put things up on a very irregular schedule, namely whenever I complete a piece that I think worth sharing. (Some people will think I am often deluded. Some will think *this* piece is worth sharing but not *that* one.)

On the mathematics front, I have put up *A Crash Course in Geometric Algebra and Geometric Calculus*. You can find more about it on a subpage of the Math page. This is an experiment. The notes run five chapters and are brief and superficial. The longer-range plan is that these brief notes will, in due course, be followed by a much longer and more complete book on the subject.

One of the pages on this site links to my e-book *The Blue-Haired Shadow and Other Tales* and to a reading of one of the stories. Another concerns a character, Sir Hilary, who has appeared in two short stories and looks likely to show up in others as well.

The page labelled *Miscellany* is intended to have links to short pieces, some fiction, some less so.

I have a page with readings of some of my short stories; people can listen or download them.

Oh, and you might check out the blog by my sister, Linda Matthews: *My Bright Shiny Penny*.

**Note:** This blog runs on WordPress. The theme is Mon Cahier. The background fractals were created by the Fractal Science Kit fractal generator at www.fractalsciencekit.com.

Hi,

I knew nothing about geometric algebra/calculus until I took a position at a mechanical engineering department where one of the senior professors if using it to model trajectories for 5-axis milling machines. I may have come to a problem which involves the use of calculus of variations using geometric calculus, I’d be most interested in you views on this.

Regards

Mat

Mat,

Unfortunately I know next to nothing about variational calculus. My knowledge of geometric calculus is still expanding and right now I’m trying to figure out how simple notions of curvature fit in. (I hope to put out an introductory book in a year or two.)

Nor can I suggest a good reference about geometric calculus and variational calculus. This may simply reflect my ignorance, but a more fundamental problem is that people interested in geometric calculus are still trying to figure out how to go back and present traditional mathematical ideas in the new framework. My feeling is that once they do, there will be many topics that will be more accessible via geometric algebra/calculus than via the established routes, but the new roads need to be constructed.

Calculus of variations apparently involves differential form theory in an essential way, and if you think it would be of interest, I can send you a little paper (written by me for my own edification) on how differential forms fit into geometric calculus. (I hope to include the material in my projected/hypothetical book.)

I also note that in “Lectures on Clifford (Geometric) Algebras and Applications” (Ablamowicz and Sobczyk) and “Clifford (Geometric) Algebras With Applications in Physics, Mathematics, and Engineering” (Bayliss), there are articles that touch on robot motion which may be relevant to your concerns.

You might also try contacting Alan Macdonald through http://faculty.luther.edu/~macdonal/ or the Cambridge research group at http://geometry.mrao.cam.ac.uk/. You may find helpful people who know much more than I do.

Good luck.