All Hail Geometric Algebra
I picked up <i>Linear and Geometric Algebra</i> because I was looking into how to do sensor fusion better and thought geometric algebra might make 3D rotations easier to understand. My conclusion is that it doesn't. I might as well stick with quaternions and try to grok them better. (It is sort of neat that quaternions are a special case of something else, but not actually helpful.)<p>In particular, there is nothing about how to actually do calculations on a computer, with the excuse that you will usually use a library for this. This isn't helpful to me because I'm doing embedded programming, and also because I don't feel like I really understand math unless I know how to do calculations well enough to write a library myself.<p>All this coordinate-free manipulation of symbols leaves me feeling like I didn't really get anywhere. I was hoping for a more intuitive understanding.<p>Does anyone have recommendations that are more oriented towards doing calculations?