A few weeks ago I gave at work an introductory talk on Geometric Algebra. In my slides, I mostly followed the exposition in David Hestenes’ New Foundations for Classical Mechanics. And since we’re mostly a MATLAB shop I also used Gable to show how to perform some practical computations.
You’re currently reading “Introductory talk on Geometric Algebra,” an entry on Reality tunnels
08.02.10 / 2pm
fyi. I’ve posted a link to this in the google GA forum.
http://groups.google.ca/group/geometric_algebra/browse_thread/thread/64c72da3309663a0
08.02.10 / 3pm
Thanks for posting it and notifying me. I wasn’t aware of this group.
08.02.10 / 4pm
There is a mistake on slide 38.
(a)^(-b) is not equal to (-a)^(-b)
Still, good job on this introduction, it gives a nice feeling for what is happening. I think it would be nice if there was more exposition on what you actually mean by ’sweeping’ along another vector. I personally know what it is, but the idea was very foreign to me and painful at first. A bank of animations would clear that right up, along with all of the properties (like anti-commutivity).
Thanks again.
08.02.10 / 8pm
Indeed, it should read a^(-b) = (-b)^(-a). Thank you for spotting that and taking the time to review the presentation. I will update the document soon.
08.02.10 / 10pm
Sorry, I couldn’t edit the last slide. There is another slight mistake on slide 61. The definitions for (5) and (6) should be switched. This leads to a problem in the later computation, though.
08.02.10 / 11pm
Hi Scott,
This is not a mistake, definitions (5) and (6) agree (note that B = b^c) with their general form which is given in (22) and (23).
Thanks again for working through the slides.
09.02.10 / 4am
Ah, missed that. Thanks again.
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